RS Aggrawal 2020 2021 Solutions for Class 6 Maths Chapter 7 Decimals are provided here with simple step-by-step explanations. These solutions for Decimals are extremely popular among class 6 students for Maths Decimals Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the RS Aggrawal 2020 2021 Book of class 6 Maths Chapter 7 are provided here for you for free. You will also love the ad-free experience on Meritnation’s RS Aggrawal 2020 2021 Solutions. All RS Aggrawal 2020 2021 Solutions for class 6 Maths are prepared by experts and are 100% accurate.

(i) 58.63
(ii) 124.425
(iii) 7.76
(iv) 19.8
(v) 404.044
(vi) 0.173
(vii) 0.015

#### Question 2:

(i) 58.63
(ii) 124.425
(iii) 7.76
(iv) 19.8
(v) 404.044
(vi) 0.173
(vii) 0.015

(i) In 14.83, we have:
Place value of 1 = 1 tens = 10
Place value of 4 = 4 ones = 4
Place value of 8 = 8 tenths = $\frac{8}{10}$
Place value of 3 = 3 hundredths = $\frac{3}{100}$

(ii) In 275.269, we have:
Place value of 2 = 2 hundreds = 200
Place value of 7 = 7 tens = 70
Place value of 5 = 5 ones = 5
Place value of 2 = 2 tenths = $\frac{2}{10}$
Place value of 6 = 6 hundredths = $\frac{6}{100}$
Place value of 9 = 9 thousandths = $\frac{9}{1000}$

(iii) In 46.075, we have:
Place value of 4 = 4 tens = 40
Place value of 6 = 6 ones = 6
Place value of 0 = 0 tenths = $\frac{0}{10}$= 0
Place value of 7 = 7 hundredths = $\frac{7}{100}$
Place value of 5 = 5 thousandths = $\frac{5}{1000}$

(iv) In 302.459, we have:
Place value of 3 = 3 hundreds = 300
Place value of 0 = 0 tens = 0
Place value of 2 = 2 ones = 2
Place value of 4 = 4 tenths = $\frac{4}{10}$
Place value of 5 = 5 hundredths = $\frac{5}{100}$
Place value of 9 = 9 thousandths = $\frac{9}{1000}$

(v) In 5370.34, we have:
Place value of 5 = 5 thousands = 5000
Place value of 3 = 3 hundreds = 300
Place value of 7 = 7 tens = 70
Place value of 0 = 0 ones = 0
Place value of 3 = 3 tenths = $\frac{3}{10}$
Place value of 4 = 4 hundredths = $\frac{4}{100}$

(vi) In 186.209, we have:
Place value of 1 = 1 hundreds = 100
Place value of 8 = 8 tens = 80
Place value of 6 = 6 ones = 6
Place value of 2 = 2 tenths = $\frac{2}{10}$
Place value of 0 = 0 hundredths = 0
Place value of 9 = 9 thousandths = $\frac{9}{1000}$

#### Question 3:

(i) In 14.83, we have:
Place value of 1 = 1 tens = 10
Place value of 4 = 4 ones = 4
Place value of 8 = 8 tenths = $\frac{8}{10}$
Place value of 3 = 3 hundredths = $\frac{3}{100}$

(ii) In 275.269, we have:
Place value of 2 = 2 hundreds = 200
Place value of 7 = 7 tens = 70
Place value of 5 = 5 ones = 5
Place value of 2 = 2 tenths = $\frac{2}{10}$
Place value of 6 = 6 hundredths = $\frac{6}{100}$
Place value of 9 = 9 thousandths = $\frac{9}{1000}$

(iii) In 46.075, we have:
Place value of 4 = 4 tens = 40
Place value of 6 = 6 ones = 6
Place value of 0 = 0 tenths = $\frac{0}{10}$= 0
Place value of 7 = 7 hundredths = $\frac{7}{100}$
Place value of 5 = 5 thousandths = $\frac{5}{1000}$

(iv) In 302.459, we have:
Place value of 3 = 3 hundreds = 300
Place value of 0 = 0 tens = 0
Place value of 2 = 2 ones = 2
Place value of 4 = 4 tenths = $\frac{4}{10}$
Place value of 5 = 5 hundredths = $\frac{5}{100}$
Place value of 9 = 9 thousandths = $\frac{9}{1000}$

(v) In 5370.34, we have:
Place value of 5 = 5 thousands = 5000
Place value of 3 = 3 hundreds = 300
Place value of 7 = 7 tens = 70
Place value of 0 = 0 ones = 0
Place value of 3 = 3 tenths = $\frac{3}{10}$
Place value of 4 = 4 hundredths = $\frac{4}{100}$

(vi) In 186.209, we have:
Place value of 1 = 1 hundreds = 100
Place value of 8 = 8 tens = 80
Place value of 6 = 6 ones = 6
Place value of 2 = 2 tenths = $\frac{2}{10}$
Place value of 0 = 0 hundredths = 0
Place value of 9 = 9 thousandths = $\frac{9}{1000}$

(i) 67.83
= 6 tens + 7 ones + 8 tenths + 3 hundredths
=

(ii) 283.61
= 2 hundreds  + 8 tens + 3 ones + 6 tenths + 1 hundredths
=

(iii) 24.675
= 2 tens + 4 ones + 6 tenths + 7 hundredths + 5 thousandths
=

(iv) 0.294
= 2 tenths + 9 hundredths + 4 thousandths
=

(v) 8.006
= 8 ones + 0 tenths + 0 hundredths  + 6 thousandths
=

(vi) 4615.72
= 4 thousands + 6 hundreds + 1 tens + 5 ones + 7 tenths + 2 hundredths
=

#### Question 4:

(i) 67.83
= 6 tens + 7 ones + 8 tenths + 3 hundredths
=

(ii) 283.61
= 2 hundreds  + 8 tens + 3 ones + 6 tenths + 1 hundredths
=

(iii) 24.675
= 2 tens + 4 ones + 6 tenths + 7 hundredths + 5 thousandths
=

(iv) 0.294
= 2 tenths + 9 hundredths + 4 thousandths
=

(v) 8.006
= 8 ones + 0 tenths + 0 hundredths  + 6 thousandths
=

(vi) 4615.72
= 4 thousands + 6 hundreds + 1 tens + 5 ones + 7 tenths + 2 hundredths
=

(i) = 46 + 0.7 + .09 = 46.79

(ii) = 578 + 0.3 + 0.01 + 0.006 = 578.316

(iii) = 731 + 0.8 + 0.04 = 731.84

(iv) = 605 + 0.07 + 0.009 = 605.079

(v) = 805 + 0.8 + 0.006 = 805.806

(vi) = 39 + 0.04 + 0.008 = 39.048

#### Question 5:

(i) = 46 + 0.7 + .09 = 46.79

(ii) = 578 + 0.3 + 0.01 + 0.006 = 578.316

(iii) = 731 + 0.8 + 0.04 = 731.84

(iv) = 605 + 0.07 + 0.009 = 605.079

(v) = 805 + 0.8 + 0.006 = 805.806

(vi) = 39 + 0.04 + 0.008 = 39.048

(i) Each of the numbers has maximum 3 decimal places. So, we convert them into numbers having three decimal places by annexing suitable number of zeroes to the extreme right of the decimal part.
7.5 = 7.500
64.23 = 64.230
0.074 = 0.074

(ii) Each of the numbers has maximum 3 decimal places. So, we convert them into numbers having three decimal places by annexing suitable number of zeroes to the extreme right of the decimal part.
0.6 = 0.600
5.937 = 5.937
2.36 = 2.360
4.2 = 4.200

(iii) Each of the numbers has maximum 2 decimal places. So, we convert them into numbers having three decimal places by annexing suitable number of zeroes to the extreme right of the decimal part.
1.6 = 1.60
0.07 = 0.07
3.58 = 3.58
2.9 = 2.90

(iv) Each of the numbers has maximum 3 decimal places. So, we convert them into numbers having three decimal places by annexing suitable number of zeroes to the extreme right of the decimal part.
2.5 = 2.500
0.63 = 0.630
14.08 = 14.080
1.637 = 1.637

#### Question 6:

(i) Each of the numbers has maximum 3 decimal places. So, we convert them into numbers having three decimal places by annexing suitable number of zeroes to the extreme right of the decimal part.
7.5 = 7.500
64.23 = 64.230
0.074 = 0.074

(ii) Each of the numbers has maximum 3 decimal places. So, we convert them into numbers having three decimal places by annexing suitable number of zeroes to the extreme right of the decimal part.
0.6 = 0.600
5.937 = 5.937
2.36 = 2.360
4.2 = 4.200

(iii) Each of the numbers has maximum 2 decimal places. So, we convert them into numbers having three decimal places by annexing suitable number of zeroes to the extreme right of the decimal part.
1.6 = 1.60
0.07 = 0.07
3.58 = 3.58
2.9 = 2.90

(iv) Each of the numbers has maximum 3 decimal places. So, we convert them into numbers having three decimal places by annexing suitable number of zeroes to the extreme right of the decimal part.
2.5 = 2.500
0.63 = 0.630
14.08 = 14.080
1.637 = 1.637

(i) 84.23 > 76.35
Since 84 is greater than 76, 84.23 is greater than 76.35. (Comparing the whole number parts)

(ii) 7.608 < 7.680
Since 8 is greater than 0 at the hundredths place, 7.608 is smaller than 7.680.

(iii) 8.34 < 8.43
Since 4 is greater than 3 at the tenths place, 8.34 is smaller than 8.43.

(iv) 12.06 > 12.006
Since 6 is greater than 0 at the hundredths place, 12.06 is greater than 12.006.

(v) 3.850 > 3.805
Since 5 is greater than 0 at the hundredths place, 3.850 is greater than 3.805.

(vi) 0.97 < 1.07
Since 1 is greater than 0, 0.97 is smaller than 1.07. (Comparing the whole number parts)

#### Question 7:

(i) 84.23 > 76.35
Since 84 is greater than 76, 84.23 is greater than 76.35. (Comparing the whole number parts)

(ii) 7.608 < 7.680
Since 8 is greater than 0 at the hundredths place, 7.608 is smaller than 7.680.

(iii) 8.34 < 8.43
Since 4 is greater than 3 at the tenths place, 8.34 is smaller than 8.43.

(iv) 12.06 > 12.006
Since 6 is greater than 0 at the hundredths place, 12.06 is greater than 12.006.

(v) 3.850 > 3.805
Since 5 is greater than 0 at the hundredths place, 3.850 is greater than 3.805.

(vi) 0.97 < 1.07
Since 1 is greater than 0, 0.97 is smaller than 1.07. (Comparing the whole number parts)

(i) 5.8, 7.2, 5.69, 7.14, 5.06
Converting the given decimals into like decimals:
5.80, 7.20, 5.69, 7.14, 5.06
Clearly, 5.06 < 5.69 < 5.80 < 7.14 < 7.20
Hence, the given decimals can be arranged in the ascending order as follows:
5.06, 5.69, 5.80, 7.14 and 7.2

(ii) 0.6, 6.6, 6.06, 66.6, 0.06
Converting the given decimals into like decimals:
0.60, 6.60, 6.06, 66.60, 0.06
Clearly, 0.06 < 0.60 < 6.06 < 6.60 < 66.60
Hence, the given decimals can be arranged in the ascending order as follows:
0.06, 0.60, 6.06, 6.60 and 66.60

(iii) 6.54, 6.45, 6.4, 6.5, 6.05
Converting the given decimals into like decimals:
6.54, 6.45, 6.40, 6.50, 6.05
Clearly, 6.05 < 6.40 < 6.45 < 6.50 < 6.54
Hence, the given decimals can be arranged in the ascending order as follows:
6.05, 6.40, 6.45, 6.50 and 6.54

(iv) 3.3, 3.303, 3.033, 0.33, 3.003
Converting the given decimals into like decimals:
3.300, 3.303, 3.033, 0.330, 3.003
Clearly, 0.330 < 3.003 < 3.033 < 3.300 < 3.303
Hence, the given decimals can be arranged in the ascending order as follows:
0.33, 3.003, 3.033, 3.300 and 3.303

#### Question 8:

(i) 5.8, 7.2, 5.69, 7.14, 5.06
Converting the given decimals into like decimals:
5.80, 7.20, 5.69, 7.14, 5.06
Clearly, 5.06 < 5.69 < 5.80 < 7.14 < 7.20
Hence, the given decimals can be arranged in the ascending order as follows:
5.06, 5.69, 5.80, 7.14 and 7.2

(ii) 0.6, 6.6, 6.06, 66.6, 0.06
Converting the given decimals into like decimals:
0.60, 6.60, 6.06, 66.60, 0.06
Clearly, 0.06 < 0.60 < 6.06 < 6.60 < 66.60
Hence, the given decimals can be arranged in the ascending order as follows:
0.06, 0.60, 6.06, 6.60 and 66.60

(iii) 6.54, 6.45, 6.4, 6.5, 6.05
Converting the given decimals into like decimals:
6.54, 6.45, 6.40, 6.50, 6.05
Clearly, 6.05 < 6.40 < 6.45 < 6.50 < 6.54
Hence, the given decimals can be arranged in the ascending order as follows:
6.05, 6.40, 6.45, 6.50 and 6.54

(iv) 3.3, 3.303, 3.033, 0.33, 3.003
Converting the given decimals into like decimals:
3.300, 3.303, 3.033, 0.330, 3.003
Clearly, 0.330 < 3.003 < 3.033 < 3.300 < 3.303
Hence, the given decimals can be arranged in the ascending order as follows:
0.33, 3.003, 3.033, 3.300 and 3.303

(i) 7.3, 8.73, 73.03, 7.33, 8.073
Converting each decimal into like decimals:
7.300, 8.730, 73.030, 7.330, 8.073
Clearly, 73.030 > 8.730 > 8.073 > 7.330 > 7.300
Hence, the given decimals can be arranged in the descending order as follows:
73.03, 8.73, 8.073, 7.33 and 7.3

(ii) 3.3, 3.03, 30.3, 30.03, 3.003
Converting each decimal into like decimals:
3.300, 3.030, 30.300, 30.030, 3.003
Clearly, 30.300 > 30.030 > 3.300 > 3.030 > 3.003
Hence, the given decimals can be arranged in the descending order as follows:
30.3, 30.03, 3.3, 3.03 and 3.003

(iii) 2.7, 7.2, 2.27, 2.72, 2.02, 2.007
Converting each decimal into like decimals:
2.700, 7.200, 2.270, 2.720, 2.020, 2.007
Clearly, 7.200 > 2.720 > 2.700 > 2.270 > 2.020 > 2.007
Hence, the given decimals can be arranged in the descending order as follows:
7.2, 2.72, 2.7, 2.27, 2.02 and 2.007

(iv) 8.88, 8.088, 88.8, 88.08, 8.008
Converting each decimal into like decimals:
8.880, 8.088, 88.800, 88.080, 8.008
Clearly, 88.800 > 88.080 > 8.880 > 8.088 > 8.008
Hence, the given decimals can be arranged in the descending order as follows:
88.8, 88.08, 8.88, 8.088 and 8.008

#### Question 1:

(i) 7.3, 8.73, 73.03, 7.33, 8.073
Converting each decimal into like decimals:
7.300, 8.730, 73.030, 7.330, 8.073
Clearly, 73.030 > 8.730 > 8.073 > 7.330 > 7.300
Hence, the given decimals can be arranged in the descending order as follows:
73.03, 8.73, 8.073, 7.33 and 7.3

(ii) 3.3, 3.03, 30.3, 30.03, 3.003
Converting each decimal into like decimals:
3.300, 3.030, 30.300, 30.030, 3.003
Clearly, 30.300 > 30.030 > 3.300 > 3.030 > 3.003
Hence, the given decimals can be arranged in the descending order as follows:
30.3, 30.03, 3.3, 3.03 and 3.003

(iii) 2.7, 7.2, 2.27, 2.72, 2.02, 2.007
Converting each decimal into like decimals:
2.700, 7.200, 2.270, 2.720, 2.020, 2.007
Clearly, 7.200 > 2.720 > 2.700 > 2.270 > 2.020 > 2.007
Hence, the given decimals can be arranged in the descending order as follows:
7.2, 2.72, 2.7, 2.27, 2.02 and 2.007

(iv) 8.88, 8.088, 88.8, 88.08, 8.008
Converting each decimal into like decimals:
8.880, 8.088, 88.800, 88.080, 8.008
Clearly, 88.800 > 88.080 > 8.880 > 8.088 > 8.008
Hence, the given decimals can be arranged in the descending order as follows:
88.8, 88.08, 8.88, 8.088 and 8.008

We have:
.9 = $\frac{9}{10}$

#### Question 2:

We have:
.9 = $\frac{9}{10}$

We have:
0.6 =

We have:
0.6 =

We have:
0.08 =

We have:
0.08 =

We have:
0.15 =

We have:
0.15 =

We have:
0.48 =

We have:
0.48 =

We have:
0.053 =

We have:
0.053 =

We have:
0.125 =

We have:
0.125 =

We have:
0.224 =

We have:
0.224 =

We have:
6.4 =

We have:
6.4 =

We have:
16.5 =

We have:
16.5 =

We have:
8.36 =

We have:
8.36 =

We have:
4.275 =

We have:
4.275 =

We have:
25.06 =

We have:
25.06 =

We have:
7.004 =

We have:
7.004 =

We have:
2.052 =

We have:
2.052 =

We have:
3.108 =

We have:
3.108 =

We have:

We have:

We have:

We have:

We have:

We have:

We have:

We have:

We have:

#### Question 22:

We have: We have:

#### Question 23: We have: We have:

#### Question 24: We have: We have:

#### Question 25: We have: We have:

#### Question 26: We have: We have:

#### Question 27: We have: We have:

#### Question 28: We have: We have:

#### Question 29: We have: We have:

#### Question 30: We have: We have:

#### Question 31: We have: We have:

#### Question 32: We have: We have:

#### Question 33: We have:

(i) 8 kg 640 g in kilograms:
8 kg + 640 gm = 8 kg + $\frac{640}{1000}$ kg
8 kg + 0.640 kg = 8.640 kg

(ii) 9 kg 37 g in kilograms:
9 kg + 37 gm = 9 kg + $\frac{37}{1000}$ kg
9 kg + 0.037 kg = 9.037 kg

(iii) 6 kg 8 g in kilograms:
6 kg + 8 gm = 6 kg + $\frac{8}{1000}$ kg
6 kg + 0.008 kg = 6.008 kg

#### Question 34:

(i) 8 kg 640 g in kilograms:
8 kg + 640 gm = 8 kg + $\frac{640}{1000}$ kg
8 kg + 0.640 kg = 8.640 kg

(ii) 9 kg 37 g in kilograms:
9 kg + 37 gm = 9 kg + $\frac{37}{1000}$ kg
9 kg + 0.037 kg = 9.037 kg

(iii) 6 kg 8 g in kilograms:
6 kg + 8 gm = 6 kg + $\frac{8}{1000}$ kg
6 kg + 0.008 kg = 6.008 kg

(i) 4 km 365 m in kilometres:
4 km + 365 m = 4 km + $\frac{365}{1000}$ km     [Since 1 km = 1000 m]
4 km + 0.365 km = 4.365 km

(ii) 5 km 87 m in kilometres:
5 km + 87 m = 5 km + $\frac{87}{1000}$ km     [Since 1 km = 1000 m]
5 km + 0.087 km = 5.087 km

(iii) 3 km 6 m in kilometres:
3 km + 6 m = 3 km + $\frac{6}{1000}$ km      [Since 1 km = 1000 m]
3 km + 0.006 km = 3.006 km

(iv) 270 m in kilometres:
$\frac{270}{1000}$ km = 0.270 km                     [Since 1 km = 1000 m]

(v) 35 m in kilometres:
$\frac{35}{1000}$ km = 0.035 km                      [Since 1 km = 1000 m]

(vi) 6 m in kilometres:
$\frac{6}{1000}$ km = 0.006 km                    [Since 1 km = 1000 m]

#### Question 35:

(i) 4 km 365 m in kilometres:
4 km + 365 m = 4 km + $\frac{365}{1000}$ km     [Since 1 km = 1000 m]
4 km + 0.365 km = 4.365 km

(ii) 5 km 87 m in kilometres:
5 km + 87 m = 5 km + $\frac{87}{1000}$ km     [Since 1 km = 1000 m]
5 km + 0.087 km = 5.087 km

(iii) 3 km 6 m in kilometres:
3 km + 6 m = 3 km + $\frac{6}{1000}$ km      [Since 1 km = 1000 m]
3 km + 0.006 km = 3.006 km

(iv) 270 m in kilometres:
$\frac{270}{1000}$ km = 0.270 km                     [Since 1 km = 1000 m]

(v) 35 m in kilometres:
$\frac{35}{1000}$ km = 0.035 km                      [Since 1 km = 1000 m]

(vi) 6 m in kilometres:
$\frac{6}{1000}$ km = 0.006 km                    [Since 1 km = 1000 m]

(i) 15 kg 850 g in kilograms:
15 kg + 850 gm = 15 kg + $\frac{850}{1000}$ kg        [Since 1 kg = 1000 gm]
15 kg + 0.850 kg = 15.850 kg

(ii) 8 kg 96 g in kilograms:
8 kg + 96 gm = 8 kg + kg         [Since 1 kg = 1000 gm]
8 kg + 0.096 kg = 8.096 kg

(iii) 540 g in kilograms:
540 gm = $\frac{540}{1000}$ kg = 0.540 kg        [Since 1 kg = 1000 gm]

(iv) 8 g in kilograms:
8 gm = $\frac{8}{1000}$ kg = 0.008 kg           [Since 1 kg = 1000 gm]

#### Question 36:

(i) 15 kg 850 g in kilograms:
15 kg + 850 gm = 15 kg + $\frac{850}{1000}$ kg        [Since 1 kg = 1000 gm]
15 kg + 0.850 kg = 15.850 kg

(ii) 8 kg 96 g in kilograms:
8 kg + 96 gm = 8 kg + kg         [Since 1 kg = 1000 gm]
8 kg + 0.096 kg = 8.096 kg

(iii) 540 g in kilograms:
540 gm = $\frac{540}{1000}$ kg = 0.540 kg        [Since 1 kg = 1000 gm]

(iv) 8 g in kilograms:
8 gm = $\frac{8}{1000}$ kg = 0.008 kg           [Since 1 kg = 1000 gm]

(i) Rs 18 and 25 paise in rupees:
Rs 18 + 25 paise = Rs 18 + Rs $\frac{25}{100}$         [Since Re 1 = 100 paise]
Rs 18 + Rs 0.25 = Rs 18.25

(ii) Rs 9 and 8 paise in rupees:
Rs 9 + 8 paise = Rs 9 + Rs $\frac{8}{100}$         [Since Re 1 = 100 paise]
Rs 9 + Rs 0.08 = Rs 9.08

(iii) 32 paise in rupees:
32 paise = Rs $\frac{32}{100}$ = Rs 0.32          [Since Re 1 = 100 paise]

(iv) 5 paise in rupees:
5 paise = Rs $\frac{5}{100}$ = Rs 0.05          [Since Re 1 = 100 paise]

#### Question 1:

(i) Rs 18 and 25 paise in rupees:
Rs 18 + 25 paise = Rs 18 + Rs $\frac{25}{100}$         [Since Re 1 = 100 paise]
Rs 18 + Rs 0.25 = Rs 18.25

(ii) Rs 9 and 8 paise in rupees:
Rs 9 + 8 paise = Rs 9 + Rs $\frac{8}{100}$         [Since Re 1 = 100 paise]
Rs 9 + Rs 0.08 = Rs 9.08

(iii) 32 paise in rupees:
32 paise = Rs $\frac{32}{100}$ = Rs 0.32          [Since Re 1 = 100 paise]

(iv) 5 paise in rupees:
5 paise = Rs $\frac{5}{100}$ = Rs 0.05          [Since Re 1 = 100 paise]

9.6, 14.8, 37 and 5.9
Converting the decimals into like decimals:
9.6, 14.8, 37.0 and 5.9
Let us write the given numbers in the column form.
9.6
14.8
37.0
5.9
67.3
Hence, the sum of the given numbers is 67.3.

#### Question 2:

9.6, 14.8, 37 and 5.9
Converting the decimals into like decimals:
9.6, 14.8, 37.0 and 5.9
Let us write the given numbers in the column form.
9.6
14.8
37.0
5.9
67.3
Hence, the sum of the given numbers is 67.3.

23.7, 106.94, 68.9 and 29.5
Converting the decimals into like decimals:
23.70, 106.94, 68.90 and 29.50
Let us write the given numbers in the column form.
23.70
106.94
68.90
29.50
229.04
Hence, the sum of the given numbers is 229.04.

#### Question 3:

23.7, 106.94, 68.9 and 29.5
Converting the decimals into like decimals:
23.70, 106.94, 68.90 and 29.50
Let us write the given numbers in the column form.
23.70
106.94
68.90
29.50
229.04
Hence, the sum of the given numbers is 229.04.

72.8, 7.68, 16.23 and 0.7
Converting the decimals into like decimals:
72.80, 7.68, 16.23 and 0.70
Let us write the given numbers in the column form.
72.80
7.68
16.23
0.70
97.41
Hence, the sum of the given numbers is 97.41.

#### Question 4:

72.8, 7.68, 16.23 and 0.7
Converting the decimals into like decimals:
72.80, 7.68, 16.23 and 0.70
Let us write the given numbers in the column form.
72.80
7.68
16.23
0.70
97.41
Hence, the sum of the given numbers is 97.41.

18.6, 84.75, 8.345 and 9.7
Converting the decimals into like decimals:
18.600, 84.750, 8.345 and 9.700
Let us write the given numbers in the column form.
18.600
84.750
8.345
9.700
121.395
Hence, the sum of the given numbers is 121.395.

#### Question 5:

18.6, 84.75, 8.345 and 9.7
Converting the decimals into like decimals:
18.600, 84.750, 8.345 and 9.700
Let us write the given numbers in the column form.
18.600
84.750
8.345
9.700
121.395
Hence, the sum of the given numbers is 121.395.

8.236, 16.064, 63.8 and 27.53
Converting the decimals into like decimals:
8.236, 16.064, 63.800 and 27.530
Let us write the given numbers in the column form.
8.236
16.064
63.800
27.530
115.630
Hence, the sum of the given numbers is 115.630.

#### Question 6:

8.236, 16.064, 63.8 and 27.53
Converting the decimals into like decimals:
8.236, 16.064, 63.800 and 27.530
Let us write the given numbers in the column form.
8.236
16.064
63.800
27.530
115.630
Hence, the sum of the given numbers is 115.630.

28.9, 19.64, 123.697 and 0.354
Converting the decimals into like decimals:
28.900, 19.640, 123.697 and 0.354
Let us write the given numbers in the column form.
28.900
19.640
123.697
0.354
172.591
Hence, the sum of the given numbers is 172.591.

#### Question 7:

28.9, 19.64, 123.697 and 0.354
Converting the decimals into like decimals:
28.900, 19.640, 123.697 and 0.354
Let us write the given numbers in the column form.
28.900
19.640
123.697
0.354
172.591
Hence, the sum of the given numbers is 172.591.

4.37, 9.638, 17.007 and 6.8
Converting the decimals into like decimals:
4.370, 9.638, 17.007 and 6.800
Let us write the given numbers in the column form.
4.370
9.683
17.007
6.800
37.815
Hence, the sum of the given numbers is 37.815.

#### Question 8:

4.37, 9.638, 17.007 and 6.8
Converting the decimals into like decimals:
4.370, 9.638, 17.007 and 6.800
Let us write the given numbers in the column form.
4.370
9.683
17.007
6.800
37.815
Hence, the sum of the given numbers is 37.815.

14.5, 0.038, 118.573 and 6.84
Converting the decimals into like decimals:
14.500, 0.038, 118.573 and 6.840
Let us write the given numbers in the column form.
14.500
0.038
118.573
6.840
139.951
Hence, the sum of the given numbers is 139.951.

#### Question 9:

14.5, 0.038, 118.573 and 6.84
Converting the decimals into like decimals:
14.500, 0.038, 118.573 and 6.840
Let us write the given numbers in the column form.
14.500
0.038
118.573
6.840
139.951
Hence, the sum of the given numbers is 139.951.

Earning on the 1st day of the week =  Rs 32.60
Earning on the 2nd day of the week = Rs 56.80
Earning on the 3rd day of the week = Rs 72.00
Total earning =                                 Rs 161.40

#### Question 10:

Earning on the 1st day of the week =  Rs 32.60
Earning on the 2nd day of the week = Rs 56.80
Earning on the 3rd day of the week = Rs 72.00
Total earning =                                 Rs 161.40

Cost of the almirah =          Rs 11025.00
Money spent on cartage =       Rs 172.50
Money spent on repair =           Rs 64.800
Total cost of the almirah =  Rs 11262.3

#### Question 11:

Cost of the almirah =          Rs 11025.00
Money spent on cartage =       Rs 172.50
Money spent on repair =           Rs 64.800
Total cost of the almirah =  Rs 11262.3

Distance covered by the taxi =        36 km 235 m
Distance covered by the rickshaw =  4 km 085 m
Distance covered on foot =               1 km 080 m
Total distance covered =                41 km  400 m

#### Question 12:

Distance covered by the taxi =        36 km 235 m
Distance covered by the rickshaw =  4 km 085 m
Distance covered on foot =               1 km 080 m
Total distance covered =                41 km  400 m

Weight of sugar in the bag =   45 kg 080 g
Weight of the empty bag =       0 kg 950 g
Total weight of the bag =         46 kg 030 g

#### Question 13:

Weight of sugar in the bag =   45 kg 080 g
Weight of the empty bag =       0 kg 950 g
Total weight of the bag =         46 kg 030 g

Length of cloth for his shirt =         2 m 70 cm
Length of cloth for his pyjamas =    2 m 60 cm
Total length of cloth bought =         5 m 30 cm

#### Question 14:

Length of cloth for his shirt =         2 m 70 cm
Length of cloth for his pyjamas =    2 m 60 cm
Total length of cloth bought =         5 m 30 cm

Length of cloth for her salwar =        2 m 05 cm
Length of cloth for her shirt =           3 m 35 cm
Total length of cloth bought =           5 m 40 cm

#### Question 1:

Length of cloth for her salwar =        2 m 05 cm
Length of cloth for her shirt =           3 m 35 cm
Total length of cloth bought =           5 m 40 cm

Let us write the numbers in the column form with the larger one at the top.
Now, subtracting:
53.74
- 27.86
25.88
$\therefore$ 53.74 - 27.86 = 25.88

#### Question 2:

Let us write the numbers in the column form with the larger one at the top.
Now, subtracting:
53.74
- 27.86
25.88
$\therefore$ 53.74 - 27.86 = 25.88

Let us write the numbers in the column form with the larger one at the top.
Now, subtracting:
103.87
- 64.98
38.89
$\therefore$ 103.87 - 64.98 = 38.89

#### Question 3:

Let us write the numbers in the column form with the larger one at the top.
Now, subtracting:
103.87
- 64.98
38.89
$\therefore$ 103.87 - 64.98 = 38.89

Converting the given numbers into like decimals:
59.63 and 92.40
Let us write them in the column form with the larger number at the top.
Now, subtracting:
92.40
- 59.63
32.77
$\therefore$ 53.74 - 27.86 = 32.77

#### Question 4:

Converting the given numbers into like decimals:
59.63 and 92.40
Let us write them in the column form with the larger number at the top.
Now, subtracting:
92.40
- 59.63
32.77
$\therefore$ 53.74 - 27.86 = 32.77

Converting the given numbers into like decimals:
56.80 and 204.00
Let us write them in the column form with the larger number at the top.
Now, subtracting:
204.00
- 56.80
147.2
$\therefore$ 204.00 - 56.80 = 147.2

#### Question 5:

Converting the given numbers into like decimals:
56.80 and 204.00
Let us write them in the column form with the larger number at the top.
Now, subtracting:
204.00
- 56.80
147.2
$\therefore$ 204.00 - 56.80 = 147.2

Converting the given numbers into like decimals:
127.38 and 216.20
Let us write them in the column form with the larger number at the top.
Now, subtracting:
216.20
- 127.38
88.82
$\therefore$ 216.20 - 127.38 = 88.82

#### Question 6:

Converting the given numbers into like decimals:
127.38 and 216.20
Let us write them in the column form with the larger number at the top.
Now, subtracting:
216.20
- 127.38
88.82
$\therefore$ 216.20 - 127.38 = 88.82

Converting the given numbers into like decimals:
39.875 and 70.680
Let us write them in the column form with the larger number at the top.
Now, subtracting:
70.680
- 39.875
30.805
$\therefore$ 70.680 - 39.875 = 30.805

#### Question 7:

Converting the given numbers into like decimals:
39.875 and 70.680
Let us write them in the column form with the larger number at the top.
Now, subtracting:
70.680
- 39.875
30.805
$\therefore$ 70.680 - 39.875 = 30.805

Converting the given numbers into like decimals:
348.237 and 523.120
Let us write them in the column form with the larger number at the top.
Now, subtracting:
523.120
- 348.237
174.883
$\therefore$ 523.120 - 348.237 = 174.883

#### Question 8:

Converting the given numbers into like decimals:
348.237 and 523.120
Let us write them in the column form with the larger number at the top.
Now, subtracting:
523.120
- 348.237
174.883
$\therefore$ 523.120 - 348.237 = 174.883

Converting the given numbers into like decimals:
458.573 and 600.000
Let us write them in the column form with the larger number at the top.
Now, subtracting:
600.000
- 458.573
141.427
$\therefore$ 600.000 - 458.573 =141.427

#### Question 9:

Converting the given numbers into like decimals:
458.573 and 600.000
Let us write them in the column form with the larger number at the top.
Now, subtracting:
600.000
- 458.573
141.427
$\therefore$ 600.000 - 458.573 =141.427

Let us write the numbers in the column form with the larger one at the top.
Now, subtracting:
206.321
- 149.456
56.865
$\therefore$ 206.321 - 149.456 = 56.865

#### Question 10:

Let us write the numbers in the column form with the larger one at the top.
Now, subtracting:
206.321
- 149.456
56.865
$\therefore$ 206.321 - 149.456 = 56.865

Converting the given numbers into like decimals:
3.400 and 0.612
Let us write them in the column form with the larger number at the top.
Now, subtracting:
3.400
- 0.612
2.788
$\therefore$ 3.400 - 0.612 = 2.788

#### Question 11:

Converting the given numbers into like decimals:
3.400 and 0.612
Let us write them in the column form with the larger number at the top.
Now, subtracting:
3.400
- 0.612
2.788
$\therefore$ 3.400 - 0.612 = 2.788

Converting the given decimals into like decimals, then adding and, finally, subtracting:

37.60                        58.678
+ 72.85                      +  6.090
110.45                        64.768

110.450
$-$  64.768
45.682

(37.60 + 72.85) $-$ (58.678 + 6.090)
= 110.450 $-$ 64.768
= 45.682

#### Question 12:

Converting the given decimals into like decimals, then adding and, finally, subtracting:

37.60                        58.678
+ 72.85                      +  6.090
110.45                        64.768

110.450
$-$  64.768
45.682

(37.60 + 72.85) $-$ (58.678 + 6.090)
= 110.450 $-$ 64.768
= 45.682

Converting the given decimals into like decimals, then adding and, finally, subtracting:

178.96                        104.645
+ 75.30                      + 47.900
254.26                        152.545

(75.30 + 178.96) $-$ (104.645 + 47.900)
254.260 $-$ 152.545
101.715                           254.260
$-$ 152.545
101.715

#### Question 13:

Converting the given decimals into like decimals, then adding and, finally, subtracting:

178.96                        104.645
+ 75.30                      + 47.900
254.26                        152.545

(75.30 + 178.96) $-$ (104.645 + 47.900)
254.260 $-$ 152.545
101.715                           254.260
$-$ 152.545
101.715

Converting the given decimals into like decimals, then adding and, finally, subtracting:

56.840
11.870
+16.087
84.797

(213.400) $-$ (56.840 + 11.870 + 16.087)
213.400 $-$ 84.797
128.603                          213.400
$-$  84.797
128.603

#### Question 14:

Converting the given decimals into like decimals, then adding and, finally, subtracting:

56.840
11.870
+16.087
84.797

(213.400) $-$ (56.840 + 11.870 + 16.087)
213.400 $-$ 84.797
128.603                          213.400
$-$  84.797
128.603

Converting the given decimals into like decimals, then adding and, finally, subtracting:

7.666
+  6.770
14.436

(76.300) $-$ (7.666 + 6.770)
= 76.300 $-$ 14.436
= 61.864

76.300
-14.436
61.864

#### Question 15:

Converting the given decimals into like decimals, then adding and, finally, subtracting:

7.666
+  6.770
14.436

(76.300) $-$ (7.666 + 6.770)
= 76.300 $-$ 14.436
= 61.864

76.300
-14.436
61.864

In order to get the number that must be added to 74.5 to get 91, we must subtract 74.5 from 91.0.

91.0
$-$  74.5
16.5

Thus, 16.5 is the required number.

#### Question 16:

In order to get the number that must be added to 74.5 to get 91, we must subtract 74.5 from 91.0.

91.0
$-$  74.5
16.5

Thus, 16.5 is the required number.

In order to get the number that must be subtracted from 7.300 to get .0862, we have to subtract 0.862 from 7.300.

7.300
$-$  0.862
6.438

Thus, 6.438 is the required number.

#### Question 17:

In order to get the number that must be subtracted from 7.300 to get .0862, we have to subtract 0.862 from 7.300.

7.300
$-$  0.862
6.438

Thus, 6.438 is the required number.

In order to get the number by which 23.754 must be increased to get 50, we have to subtract 23.754 from 50.000.

50.000
$-$23.754
26.246

#### Question 18:

In order to get the number by which 23.754 must be increased to get 50, we have to subtract 23.754 from 50.000.

50.000
$-$23.754
26.246

In order to get the number by which 84.50 must be decreased to get 27.84, we have to subtract 27.84 from 84.50.

84.50
$-$27.84
56.66

#### Question 19:

In order to get the number by which 84.50 must be decreased to get 27.84, we have to subtract 27.84 from 84.50.

84.50
$-$27.84
56.66

Weight of Neelam's school bag =       6080 g  {Converting into grams: 6 kg + 80 g = (6000 + 80) g =  6080 g}
Weight of Garima's school bag =     $-$5265 g  {Converting into grams: 5 kg + 265 g = (5000 + 265)g = 5265 g}
Difference of the weights of bags =      815 g
Thus, the weight of Neelam's school bag is more than that of Garima's school bag by 815 grams, i.e. by 0.815 kg.

#### Question 20:

Weight of Neelam's school bag =       6080 g  {Converting into grams: 6 kg + 80 g = (6000 + 80) g =  6080 g}
Weight of Garima's school bag =     $-$5265 g  {Converting into grams: 5 kg + 265 g = (5000 + 265)g = 5265 g}
Difference of the weights of bags =      815 g
Thus, the weight of Neelam's school bag is more than that of Garima's school bag by 815 grams, i.e. by 0.815 kg.

Cost of the notebook =  Rs 19.75
Cost of the pencil =        Rs 3.85
Cost of the pen =        + Rs 8.35
Total cost payable =      Rs 31.95

Total money paid =      Rs 50.00
Total money spent = $-$Rs 31.95
Balance =                   Rs 18.05

Thus, Kunal got back Rs 18.05 from the shopkeeper.

#### Question 21:

Cost of the notebook =  Rs 19.75
Cost of the pencil =        Rs 3.85
Cost of the pen =        + Rs 8.35
Total cost payable =      Rs 31.95

Total money paid =      Rs 50.00
Total money spent = $-$Rs 31.95
Balance =                   Rs 18.05

Thus, Kunal got back Rs 18.05 from the shopkeeper.

Weight of the fruits =                                  5 kg 075 g
Weight of the vegetables =                       + 3 kg 465 g
Total weight of the contents of the bag =      8 kg 540 g

Total weight of the bag with its contents =    9 kg 000 g
Total weight of the contents of the bag =  $-$ 8 kg 540 g
Weight of the empty bag =                           0 kg 460 g
Thus, the weight of the empty bag is 460 grams.

#### Question 22:

Weight of the fruits =                                  5 kg 075 g
Weight of the vegetables =                       + 3 kg 465 g
Total weight of the contents of the bag =      8 kg 540 g

Total weight of the bag with its contents =    9 kg 000 g
Total weight of the contents of the bag =  $-$ 8 kg 540 g
Weight of the empty bag =                           0 kg 460 g
Thus, the weight of the empty bag is 460 grams.

Converting into metres:
10 km 65 m = (10 + 0.065) m = 10.065 m
3 km 75 m = (3 + 0.075) m = 3.075 m

Distance covered by the scooter =                             10.065 km
Distance covered by the bus =                                 + 3.075 km
Total distance covered by the bus and the scooter =   13.140 km

Total distance between the house and the office =       14.000 km
Total distance covered by the bus and the scooter = $-$13.140 km
Distance covered on foot =                                          0.860 km

$\therefore$ Distance covered by walking = 0.860 km = 860 metres

#### Question 1:

Converting into metres:
10 km 65 m = (10 + 0.065) m = 10.065 m
3 km 75 m = (3 + 0.075) m = 3.075 m

Distance covered by the scooter =                             10.065 km
Distance covered by the bus =                                 + 3.075 km
Total distance covered by the bus and the scooter =   13.140 km

Total distance between the house and the office =       14.000 km
Total distance covered by the bus and the scooter = $-$13.140 km
Distance covered on foot =                                          0.860 km

$\therefore$ Distance covered by walking = 0.860 km = 860 metres

(c) 0.7

$\frac{7}{10}$ = 7 tenths = 0.7

#### Question 2:

(c) 0.7

$\frac{7}{10}$ = 7 tenths = 0.7

(d) 0.05
$\frac{5}{100}$ = 5 hundredths = 0.05

#### Question 3:

(d) 0.05
$\frac{5}{100}$ = 5 hundredths = 0.05

(b) 0.009
$\frac{9}{1000}$ = 9 thousandths = 0.009

#### Question 4:

(b) 0.009
$\frac{9}{1000}$ = 9 thousandths = 0.009

(a) 0.016
$\frac{16}{1000}$ = 16 thousandths = 0.016

#### Question 5:

(a) 0.016
$\frac{16}{1000}$ = 16 thousandths = 0.016

(c) 0.134
$\frac{134}{1000}$ = 134 thousandths = 0.134

#### Question 6:

(c) 0.134
$\frac{134}{1000}$ = 134 thousandths = 0.134

(a) 2.17
2$\frac{17}{100}$ = 2 + $\frac{17}{100}$ = 2 + 0.17 = 2.17

#### Question 7:

(a) 2.17
2$\frac{17}{100}$ = 2 + $\frac{17}{100}$ = 2 + 0.17 = 2.17

(b) 4.03
4$\frac{3}{100}$ = 4 + $\frac{3}{100}$ = 4 + 0.03 = 4.03

#### Question 8:

(b) 4.03
4$\frac{3}{100}$ = 4 + $\frac{3}{100}$ = 4 + 0.03 = 4.03

b) $6\frac{1}{4}$614
6.25 = 6 + 0.25 = 6 + $\frac{25}{100}$ = 6 + $\frac{1}{4}$ = $6\frac{1}{4}$

#### Question 9:

b) $6\frac{1}{4}$614
6.25 = 6 + 0.25 = 6 + $\frac{25}{100}$ = 6 + $\frac{1}{4}$ = $6\frac{1}{4}$

(b) 0.24
$\frac{6}{25}$ =  0.24

25) 60 (0.24
$-$50
100
$-$ 100
0

#### Question 10:

(b) 0.24
$\frac{6}{25}$ =  0.24

25) 60 (0.24
$-$50
100
$-$ 100
0

(c) 4.875
$4\frac{7}{8}$ =  4 + $\frac{7}{8}$ = 4 + 0.875 = 4.875

#### Question 11:

(c) 4.875
$4\frac{7}{8}$ =  4 + $\frac{7}{8}$ = 4 + 0.875 = 4.875

(a)  $24\frac{4}{5}$
24.8 = 24 + 0.8 = 24 + $\frac{8}{10}$ = 24 + $\frac{4}{5}$ = $24\frac{4}{5}$

#### Question 12:

(a)  $24\frac{4}{5}$
24.8 = 24 + 0.8 = 24 + $\frac{8}{10}$ = 24 + $\frac{4}{5}$ = $24\frac{4}{5}$

(b) 2.04
$2\frac{1}{25}$ = 2 + $\frac{1}{25}$ = 2 + 0.04 = 2.04

#### Question 13:

(b) 2.04
$2\frac{1}{25}$ = 2 + $\frac{1}{25}$ = 2 + 0.04 = 2.04

(c) 2.34
2 + = 2 + 0.3 + 0.04 = 2.34

#### Question 14:

(c) 2.34
2 + = 2 + 0.3 + 0.04 = 2.34

(b) 2.06
2 + $\frac{6}{100}$ = 2 + 0.06 = 2.06

#### Question 15:

(b) 2.06
2 + $\frac{6}{100}$ = 2 + 0.06 = 2.06

(c) 0.0407
= 0.04 + 0.0007 = 0.0407

#### Question 16:

(c) 0.0407
= 0.04 + 0.0007 = 0.0407

(c)

2.06 =  2 + $\frac{6}{100}$ = 2 × 1) + (6 × 1(2 × 1) + (6 (2 × 1) + (6

#### Question 17:

(c)

2.06 =  2 + $\frac{6}{100}$ = 2 × 1) + (6 × 1(2 × 1) + (6 (2 × 1) + (6

(d) 2.66
Converting the given decimals into like decimals:
2.600, 2.006, 2.660 and 2.080
Among the given decimals, 2.660 is the largest.

#### Question 18:

(d) 2.66
Converting the given decimals into like decimals:
2.600, 2.006, 2.660 and 2.080
Among the given decimals, 2.660 is the largest.

(b) 2.002 < 2.02 < 2.2 < 2.222

Converting the given decimals into like decimals:
2.002, 2.020, 2.200, 2.222

$\therefore$ 2.002 < 2.02 < 2.2 < 2.222

#### Question 19:

(b) 2.002 < 2.02 < 2.2 < 2.222

Converting the given decimals into like decimals:
2.002, 2.020, 2.200, 2.222

$\therefore$ 2.002 < 2.02 < 2.2 < 2.222

(a) 2.1
If we convert the given decimals into like decimals, we get 2.100 and 2.055.
At tenths place, 1 is greater than 0. Thus, 2.100 is greater than 2.055.

#### Question 20:

(a) 2.1
If we convert the given decimals into like decimals, we get 2.100 and 2.055.
At tenths place, 1 is greater than 0. Thus, 2.100 is greater than 2.055.

(b) 0.01 m
1 m = 100 cm
$\therefore$ 1 cm = $\frac{1}{100}$m = 0.01 m

#### Question 21:

(b) 0.01 m
1 m = 100 cm
$\therefore$ 1 cm = $\frac{1}{100}$m = 0.01 m

(b) 2.05 m
2 m 5 cm = (2 + $\frac{5}{100}$) m = (2 + 0.05) m = 2.05 m

#### Question 22:

(b) 2.05 m
2 m 5 cm = (2 + $\frac{5}{100}$) m = (2 + 0.05) m = 2.05 m

(c) 2.008 kg
1 kg = 1000 g
$\therefore$ 2 kg 8 g = 2 kg + $\frac{8}{1000}$ kg = (2 + 0.008) kg = 2.008 kg

#### Question 23:

(c) 2.008 kg
1 kg = 1000 g
$\therefore$ 2 kg 8 g = 2 kg + $\frac{8}{1000}$ kg = (2 + 0.008) kg = 2.008 kg

(b) 2.056 kg
2 kg + 56 g = (2 + $\frac{56}{1000}$) kg = (2 + 0.056) kg = 2.056 kg

#### Question 24:

(b) 2.056 kg
2 kg + 56 g = (2 + $\frac{56}{1000}$) kg = (2 + 0.056) kg = 2.056 kg

(c) 2.035 km
1 km = 1000 m
$\therefore$ 2 km 35 m  = (2 + $\frac{35}{1000}$) km = (2 + 0.035) km = 2.035 km

#### Question 25:

(c) 2.035 km
1 km = 1000 m
$\therefore$ 2 km 35 m  = (2 + $\frac{35}{1000}$) km = (2 + 0.035) km = 2.035 km

(c) 4.804
0.4 + 0.004 + 4.4
Converting into like decimals and then adding:
4.400
0.004
+ 0.400
4.804

#### Question 26:

(c) 4.804
0.4 + 0.004 + 4.4
Converting into like decimals and then adding:
4.400
0.004
+ 0.400
4.804

(a) 1.545
Converting into like decimals:
3.500 + 4.050 − 6.005
3.500
+ 4.050
7.550

7.550
6.005
1.545

#### Question 27:

(a) 1.545
Converting into like decimals:
3.500 + 4.050 − 6.005
3.500
+ 4.050
7.550

7.550
6.005
1.545

(b) 3.5

6.3
2.8
3.5

#### Question 28:

(b) 3.5

6.3
2.8
3.5

(c) 1.41
Converting into like decimals and then subtracting:
5.01
3.60
1.41

#### Question 29:

(c) 1.41
Converting into like decimals and then subtracting:
5.01
3.60
1.41

(a) 1.3
Converting into like decimals and then subtracting:
2.0
0.7
1.3

#### Question 30:

(a) 1.3
Converting into like decimals and then subtracting:
2.0
0.7
1.3

(a) 0.8
Converting into like decimals and then subtracting:
1.1
0.3
0.8

#### Question 1:

(a) 0.8
Converting into like decimals and then subtracting:
1.1
0.3
0.8

$4\frac{5}{8}$ = 4 + $\frac{5}{8}$ =  4 + 0.625 = 4.625

#### Question 2:

$4\frac{5}{8}$ = 4 + $\frac{5}{8}$ =  4 + 0.625 = 4.625

1 cm = $\frac{1}{100}$ m
$\therefore$ 105 cm = $\frac{105}{100}$ m = (1 + $\frac{5}{100}$) m = (1 + 0.05) m = 1.05 m

#### Question 3:

1 cm = $\frac{1}{100}$ m
$\therefore$ 105 cm = $\frac{105}{100}$ m = (1 + $\frac{5}{100}$) m = (1 + 0.05) m = 1.05 m

1 m = $\frac{1}{1000}$ km
$\therefore$ 5 m = $\frac{5}{1000}$ km = 0.005 km
6 km 5 m = (6 + 0.005) km = 6.005 km

#### Question 4:

1 m = $\frac{1}{1000}$ km
$\therefore$ 5 m = $\frac{5}{1000}$ km = 0.005 km
6 km 5 m = (6 + 0.005) km = 6.005 km

1 m = $\frac{1}{1000}$ km
$\therefore$8 m = $\frac{8}{1000}$ km = 0.008 km

#### Question 5:

1 m = $\frac{1}{1000}$ km
$\therefore$8 m = $\frac{8}{1000}$ km = 0.008 km

Converting into like decimals and then adding:
26.40
163.05
8.75
+   5.60
203.80

#### Question 6:

Converting into like decimals and then adding:
26.40
163.05
8.75
+   5.60
203.80

Converting into like decimals and then subtracting:
3.200
$-$0.528
2.672

#### Question 7:

Converting into like decimals and then subtracting:
3.200
$-$0.528
2.672

We subtract 63.5 from 71 in order to find the number that is to be added to 63.5 to make it 71.
Converting into like decimals and then subtracting:
71.0
$-$ 63.5
7.5

#### Question 8:

We subtract 63.5 from 71 in order to find the number that is to be added to 63.5 to make it 71.
Converting into like decimals and then subtracting:
71.0
$-$ 63.5
7.5

We subtract 5.4 from 13 in order to find the number that is to be subtracted from 13 to get 5.4.
Converting into like decimals and then subtracting:
13.0
$-$  5.4
7.6
Thus, we need to subtract 7.6 from 13 to get 5.4.

#### Question 9:

We subtract 5.4 from 13 in order to find the number that is to be subtracted from 13 to get 5.4.
Converting into like decimals and then subtracting:
13.0
$-$  5.4
7.6
Thus, we need to subtract 7.6 from 13 to get 5.4.

6.5, 6.05, 6.54, 6.4 and 6.45
Converting into like decimals:
6.50, 6.05, 6.54, 6.40 and 6.45
Clearly, 6.54 > 6.50 > 6.45 > 6.40 > 6.05
Hence, the given decimals can be arranged in the descending order in the following manner:
6.54, 6.50, 6.45, 6.40 and 6.05

#### Question 10:

6.5, 6.05, 6.54, 6.4 and 6.45
Converting into like decimals:
6.50, 6.05, 6.54, 6.40 and 6.45
Clearly, 6.54 > 6.50 > 6.45 > 6.40 > 6.05
Hence, the given decimals can be arranged in the descending order in the following manner:
6.54, 6.50, 6.45, 6.40 and 6.05

(i) 0.4 =

(ii) 0.35 =

(iii) 0.08 =

(iv) 0.075 =

#### Question 11:

(i) 0.4 =

(ii) 0.35 =

(iii) 0.08 =

(iv) 0.075 =

(b) 0.12
$\frac{3}{25}$ = 0.12

25)  30 (0.12
$-$25
50
$-$ 50
0

#### Question 12:

(b) 0.12
$\frac{3}{25}$ = 0.12

25)  30 (0.12
$-$25
50
$-$ 50
0

(c) 0.006
$\frac{6}{1000}$ = 6 thousandths = 0.006

#### Question 13:

(c) 0.006
$\frac{6}{1000}$ = 6 thousandths = 0.006

(b) 2.03
$2\frac{3}{100}$ = 2 + $\frac{3}{100}$ = 2 + 0.03 = 2.03

#### Question 14:

(b) 2.03
$2\frac{3}{100}$ = 2 + $\frac{3}{100}$ = 2 + 0.03 = 2.03

(b) $\frac{3}{100}$
In 16.534, place value of 3 = 3 hundredths = 0.03 = $\frac{3}{100}$

#### Question 15:

(b) $\frac{3}{100}$
In 16.534, place value of 3 = 3 hundredths = 0.03 = $\frac{3}{100}$

(c) 4.875
$4\frac{7}{8}$ = 4 + $\frac{7}{8}$ = 4 + 0.875 = 4.875

#### Question 16:

(c) 4.875
$4\frac{7}{8}$ = 4 + $\frac{7}{8}$ = 4 + 0.875 = 4.875

(c) 1.41
Converting into like decimals:
5.01
−  3.60
1.41

#### Question 17:

(c) 1.41
Converting into like decimals:
5.01
−  3.60
1.41

(a) 1.545

(3.50 + 4.05) $-$ 6.005
7.550 $-$ 6.005
Converting into like decimals and then adding:
3.50
+ 4.05
7.55
Converting into like decimals and then subtracting:
7.550
$-$  6.005
1.545

#### Question 18:

(a) 1.545

(3.50 + 4.05) $-$ 6.005
7.550 $-$ 6.005
Converting into like decimals and then adding:
3.50
+ 4.05
7.55
Converting into like decimals and then subtracting:
7.550
$-$  6.005
1.545

(c) 0.0407

= 0.04  + 0.0007
Converting into like decimals:
0.0400 + 0.0007 = 0.0407

#### Question 19:

(c) 0.0407

= 0.04  + 0.0007
Converting into like decimals:
0.0400 + 0.0007 = 0.0407

(d) 2.66
Converting all the given decimals into like decimals:
2.600, 2.006, 2.660 and 2.080
Among these given like decimals, 2.660 is the largest.

#### Question 20:

(d) 2.66
Converting all the given decimals into like decimals:
2.600, 2.006, 2.660 and 2.080
Among these given like decimals, 2.660 is the largest.

(i) 1 m = $\frac{1}{1000}$ km = 0.001 km

(ii) 10 mL = $\frac{1}{100}$ 1 = 0.01 L

(iii) 16 kg 5 g = (16 + 0.005) kg = 16.005 kg
(iv) 2 m 8 cm = (2 + 0.08) m = 2.08 m
(v) 3.02, 4.75, 1.63 are examples of like decimals.

#### Question 21:

(i) 1 m = $\frac{1}{1000}$ km = 0.001 km

(ii) 10 mL = $\frac{1}{100}$ 1 = 0.01 L

(iii) 16 kg 5 g = (16 + 0.005) kg = 16.005 kg
(iv) 2 m 8 cm = (2 + 0.08) m = 2.08 m
(v) 3.02, 4.75, 1.63 are examples of like decimals.

(i) True
This is because after converting them into like decimals, we get 3.20 > 3.02, which is true.

(ii) True
1 g = $\frac{1}{1000}$ kg
$\therefore$ 3 g = $\frac{3}{1000}$ = 0.003 kg

(iii) False
$\frac{341}{1000}$ = 0.341
This is because it is equal to 341 thousandths.

(iv) True

(v) False
In this case, every decimal should have 2 decimals in order to be like decimals. But, 2.3 has only 1 decimal.

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