RD Sharma 2013 Solutions for Class 6 Math Chapter 1 Knowing Our Numbers are provided here with simple step-by-step explanations. These solutions for Knowing Our Numbers are extremely popular among class 6 students for Math Knowing Our Numbers Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the RD Sharma 2013 Book of class 6 Math Chapter 1 are provided here for you for free. You will also love the ad-free experience on Meritnation’s RD Sharma 2013 Solutions. All RD Sharma 2013 Solutions for class 6 Math are prepared by experts and are 100% accurate.

#### Page No 1.12:

#### Question 1:

How many milligrams make on kilogram?

#### Answer:

Ten lakh or one million (10,00,000) milligrams make one kilogram.

#### Page No 1.12:

#### Question 2:

A box of medicine tablets contains 2,00,000 tablets each weighing 20 mg. What is the total weight of all the tablets in the box in grams? In kilograms?

#### Answer:

∵ Each tablet weighs = 20 mg

∴ The total weight of all the tablets in the box = 40,00,000 mg

∴ Weight of the box having all tablets = 40,00,000 ÷ 1,000 = 4,000 g

And, as 1 kg = 1,000 g

∴ Weight of the box having all tablets = 4,000 ÷ 1,000 = 4 kg

#### Page No 1.12:

#### Question 3:

Population of Sundar nagar was 2,35,471 in the year 1991. In the year 2001 it was found to have increased by 72,958. What was the population of the city n 2001?

#### Answer:

The population of Sundar Nagar in 2001 = Sum of the population of city in 1991 + Increase in population over the given time period

∵ The population of Sundar Nagar in 1991 = 2,35,471

∵ Increase in population over the given time period = 72,958

∴ The population of Sundar Nagar in 2001 = 2,35,471 + 72,958 = 3,08,429

#### Page No 1.12:

#### Question 4:

A book exhibition was held for four days in a school. The number of tickets sold at the counter on the first, second, third and final days wre respectively 1094, 1812, 2050 and 2751. Find the total number of tickets sold on all the four days.

#### Answer:

Total number of tickets sold on all four days is the sum of the tickets sold on the first, second, third and final days.

∴ Total number of tickets sold on all four days = 1,094 + 1,812 + 2,050 + 2,751 = 7,707

#### Page No 1.12:

#### Question 5:

The town newspaper is published everyday. One copy has 12 pages. Everyday 11,980 copies are printed. How many pages are in all printed everyday? Every months?

#### Answer:

∵ Number of pages in 1 copy of newspaper = 12

Thus, 1,43,760 pages are printed every day.

Now, number of pages printed every day = 1,43,760

∴ Number of pages printed in a month = 1,43,760 × 30 = 43,12,800

Thus, 43,12,800 pages are printed in a month.

#### Page No 1.12:

#### Question 6:

A machine, on an average, manufactures 2825 screws a day. How many screws did it produce in the month of January 2006?

#### Answer:

∵ Number of screws produced by a machine in a day = 2,825

∴ Number of screws produced by the same machine in the month of January 2006 = 2,825 × 31 = 87,575

Thus, machine produced 87,575 screws in the month of January 2006.

#### Page No 1.12:

#### Question 7:

A famous cricket player has so far scored 6978 runs in test matches. He wishes to complete 10,000 runs. How many more runs does he need?

#### Answer:

Runs scored by cricket player in test matches = 6,978

#### Page No 1.12:

#### Question 8:

Ravish has Rs 78,592 with him. He placed an order for purchasing 39 radio sets at Rs 1234 each. How much money will remain with him after the purchase?

#### Answer:

Ravish's initial money = ₹78,592

He purchased 39 radio sets at ₹1,234 each.

∴ Money spent by him on purchasing 39 radio sets = ₹1,234 × 39 = ₹48,126

∴ Remaining money with Ravish after the purchase = Initial money − Money spent on purchasing 39 radio sets = ₹78,592 − ₹48,126 = ₹30,466

#### Page No 1.12:

#### Question 9:

In an election, the successful candidate registered 5,77,570 votes and his nearest rival secured 3,48,685 votes. By what margin did the successful candidate win the election?

#### Answer:

Margin of victory in the election for the successful candidate = Number of votes registered by the winner − Number of votes secured by nearest rival candidate

Votes registered by the winner = 5,77,570

Votes secured by the rival = 3,48,685

∴ Margin of victory for the successful candidate = 5,77,570 − 3,48,685 = 2,28,885

#### Page No 1.12:

#### Question 10:

To stitch a shirt 2 m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can be stiched and how much cloth will ramain?

#### Answer:

∵ Total length of available cloth = 40 m = 4,000 cm (1 m = 100 cm)

As the number of shirts has to be a whole number, we consider the whole part only. That is, 18 such shirts can be stitched.

∴ Cloth required for stitching 18 shirts = 215 × 18 = 3870 cm

∴ Remaining cloth = 4,000 − 3870 = 130 cm = 1.3 m

#### Page No 1.12:

#### Question 11:

A vessel has 4 litre and 650 ml of curd. In how many glasses, each of 25 ml capacity, can it be distributed?

#### Answer:

Number of glasses in which curd can be distributed = Total amount of curd/Capacity of each glass.

Total amount of curd in the vessel = 4,650 mL = 4,000 + 650 = 4,650 mL (1 L = 1,000 mL)

Capacity of each glass = 25 mL

∴ Number of glasses in which curd can be distributed = 4,650/25 = 186

#### Page No 1.12:

#### Question 12:

Medicine is packed in boxes, each such box weighing 4 kg 500 g. How many such boxes can be loaded in a van which cannot carry beyond 800 kg.

#### Answer:

∵ Total capacity of a van carrying boxes of medicines = 800 kg = 8,00,000 g (1 kg = 1,000 g)

∴ Total number of boxes that can be loaded in the van = 8,00,000/4,500 = 177.77

The obtained number of boxes is not a whole number.

∴ Weight of 177 boxes = 177 ´ 4,500 = 7,96,500 g (under permissible limit)

∴ Weight of 178 boxes = 178 ´ 4,500 = 8,01,000 g (beyond permissible limit)

#### Page No 1.12:

#### Question 13:

The distance between the school and the house of a student is 1 km 875 m. Everyday she walks both ways between her school and home. Find the total distance covered by her in a week.

#### Answer:

∵ Distance covered by a student in a day = 2 × 1,875 = 3,750 m

#### Page No 1.17:

#### Question 1:

Round off each of the following numbers to nearest tens:

(i) 84

(ii) 98

(iii) 984

(iv) 808

(v) 998

(vi) 12,096

(vii) 10,908

(viii) 28,925

#### Answer:

(i) 80

(ii) 100

(iii) 980

(iv) 810

(v) 1,000

(vi) 12,100

(vii) 10,910

(viii) 28,930

#### Page No 1.17:

#### Question 2:

Round off each of the following numbers to nearest hundreds:

(i) 3,985

(ii) 7,289

(iii) 8,074

(iv) 14,627

(v) 28,826

(vi) 4,20,387

(vii) 43,68,973

(viii) 7,42,898

#### Answer:

(i) 4,000

(ii) 7,300

(iii) 8,100

(iv) 14,600

(v) 28,800

(vi) 4,20,400

(vii) 43,69,000

#### Page No 1.17:

#### Question 3:

Round off each of the following numbers of the nearest thousands:

(i) 2,401

(ii) 9,600

(iii) 4,278

(iv) 7,832

(v) 9,567

(vi) 26,019

(vii) 20,963

(viii) 4,36,952

#### Answer:

(i) 2,000

(ii) 10,000

(iii) 4,000

(iv) 8,000

(v) 10,000

(vi) 26,000

(vii) 21,000

(viii) 4,37,000

#### Page No 1.17:

#### Question 4:

Round off each of the following to the nearest tens, hundreds and thousands:

(i) 964

(ii) 1,049

(iii) 45,634

(iv) 79,085

#### Answer:

Tens Hundreds Thousands

(i) 970 1,000 1,000

(ii)1,050 1,000 1,000

(iii) 45,630 45,600 46,000

(iv) 79,090 79,100 79,000

#### Page No 1.17:

#### Question 5:

Round off the following measures to the nearest hundreds:

(i) Rs 666

(ii) Rs 850

(iii) Rs 3,428

(iv) Rs 9,080

(v) 1,265 km

(vi) 417 m

(vii) 550 cm

(viii) 2,486 m

(ix) 360 gm

(x) 940 kg

(xi) 273 *l*

(xii) 820 mg

#### Answer:

(i) ₹700

(ii) ₹900

(iii) ₹3,400

(iv) ₹9,100

(v) 1,300 km

(vi) 400 m

(vii) 600 cm

(viii) 2,500 m

(ix) 400 gm

(x) 900 kg

(xi) 300 L

(xii) 800 mg

#### Page No 1.17:

#### Question 6:

List all numbers which are rounded off to nearest ten as 370.

#### Answer:

365, 366, 367, 368, 369, 370, 371, 372, 373, 374

#### Page No 1.17:

#### Question 7:

Find the smallest and greatest numbers which are rounded off to the nearest hundreds as 900.

#### Answer:

Smallest number = 850

Greatest number = 949

#### Page No 1.17:

#### Question 8:

Find the smallest and greatest numbers which are rounded off to the nearest thousands as 9000.

#### Answer:

Smallest number = 8,500

#### Page No 1.20:

#### Question 1:

Estimate the following by rounding off each factor to nearest hundreds:

(i) 730 + 998

(ii) 796 − 314

(iii) 875 − 384

#### Answer:

(i) 700 + 1,000 = 1,700

(ii) 800 − 300 = 500

(iii) 900 − 400 = 500

#### Page No 1.20:

#### Question 2:

Estimate the following by rounding off each factor to nearest thousands:

(i) 12,904 + 2,888

(ii) 28,292 − 21,496

#### Answer:

(i) 13,000 + 3,000 = 16,000

(ii) 28,000 − 21,000 = 7,000

#### Page No 1.20:

#### Question 3:

Estimate the following by rounding off each number to its greatest place:

(i) 439 + 334 + 4,317

(ii) 8,325 − 491

(iii) 1,08,734 − 47,599

(iv) 898 × 785

(v) 9 × 795

(vi) 87 × 317

#### Answer:

(i) 400 + 300 + 4,000 = 4,700

(ii) 8,000 − 500 = 7,500

(iii) 1,00,000 − 50,000 = 50,000

(iv) 900 × 800 = 7,20,000

(v) 10 × 800 = 8,000

(vi) 90 × 300 = 27,000

#### Page No 1.20:

#### Question 4:

Find the estimated quotient for each of the following by rounding off each number of its greatest place:

(i) 878$\xf7$28

(ii) 745$\xf7$24

(iii) 4489$\xf7$394

#### Answer:

(i) 900 ÷ 30 = 30

(ii) 700 ÷ 20 = 35

(iii) 4,000 ÷ 400 = 10

#### Page No 1.25:

#### Question 1:

Write the roman-numerals for each of the following:

(i) 33

(ii) 48

(iii) 76

(iv) 95

#### Answer:

(i) XXXIII

(ii) XLVIII

(iii) LXXVI

(iv) XCV

#### Page No 1.25:

#### Question 2:

Write the following in Roman numerals:

(i) 154

(ii) 173

(iii) 248

(iv) 319

#### Answer:

(i) CLIV

(ii) CLXXIII

(iii) CCXLVIII

(iv) CCCXIX

#### Page No 1.25:

#### Question 3:

Write the following in Roman numerals:

(i) 1008

(ii) 2718

(iii) 3906

(iv) 3794

#### Answer:

(i) MVIII

(ii) MMDCCXVIII

(iii) MMMCMVI

(iv) MMMDCCXCIV

#### Page No 1.25:

#### Question 4:

Write the following in Roman numerals:

(i) 4201

(ii) 10009

(iii) 44000

(iv) 25819

#### Answer:

(i) $\overline{)IV}CCI$

(ii) *$\overline{)X}IX$*

(iii) $\overline{)XLIV}$

(iv) $\overline{)XXV}DCCCXIX$

#### Page No 1.25:

#### Question 5:

Write the following in Hindu-Arabic numerals:

(i) XXVI

(ii) XXIX

(iii) LXXII

(iv) XCI

(v) LXXXV

(vi) XCIX

(vii) LXXXIX

(viii) XCVII

#### Answer:

(i) 10 + 10 + 6 = 26

(ii) 10 + 10 + 9 = 29

(iii) 50 + 10 + 10 + 2 = 72

(iv) (100 − 10) + 1 = 91

(v) 50 + 10 + 10 + 10 + 5 = 85

(vi) (100 − 10) + 9 = 99

(vii) 50 + 10 + 10 + 10 + 9 = 89

(viii) (100 − 10) + 7 = 97

#### Page No 1.25:

#### Question 6:

Write the corresponding Hindu-Arabic numerals for each of the following:

(i) CIX

(ii) CLXXII

(iii) CCLIV

(iv) CCCXXIX

(v) CDXLIX

(vi) DLXIX

(vii) DCCCLXI

(viii) CMXLIV

#### Answer:

(i) 100 + 9 = 109

(ii) 100 + 50 + 10 + 10 + 2 = 172

(iii) 100 + 100 + 50 + 4 = 254

(iv) 100 +100 +100 + 10 +10 + 9 = 329

(v) (500 − 100) + (50 − 10) + 9 = 449

(vi) 500 + 50 + 10 + 9 = 569

(vii) 500 + 100 + 100 +100 + 50 + 10 + 1 = 861

#### Page No 1.25:

#### Question 7:

Write the corresponding Hindu-Arabic numerals for each of the following:

(i) KXIX

(ii) KDLXV

(iii) KKCXXIII

(iv) KKKDCXL

#### Answer:

(i) 1,000 +10 + 9 = 1,019

(ii) 1,000 + 500 + 50 +10 + 5 = 1,565

(iv) 1,000 + 1,000 + 1,000 + 500 + 100 + (50 − 10) = 3,640

#### Page No 1.25:

#### Question 8:

Write the following in Hindu-Arabic numerals:

(i) $\overline{)\mathrm{IV}}\mathrm{CDXLIC}$

(ii)$\overline{)\mathrm{VI}}\mathrm{CKXLIX}$

(iii) $\overline{)\mathrm{IX}}\mathrm{CCCXCI}$

(iv) $\overline{)\mathrm{LX}}\mathrm{XIX}$

#### Answer:

(i) 4,000 + (500 − 100) + (50 − 10) + 4 = 4,444

(ii) 6,000 + (1,000 − 100) + (50 − 10) + 9 = 6,949

(iii) 9,000 + 100 + 100 + 100 + (100 − 10) + 1 = 9,391

(iv) 70,000 + 9 = 70,009

#### Page No 1.25:

#### Question 9:

Which of the following are meaningless?

(i) XXXX

(ii) XLVI

(iii) VD

(iv) LXXXIX

(v) $\overline{\mathrm{III}}\mathrm{CC}$

(vi) KKKCCXI

(vii) XD

(viii) VC

(ix) IC

(x) IL

(xi) XK

(xii) LVV

#### Answer:

The following numbers are meaningless:

(i) Since a symbol can't be repeated more than 3 times

(iii) Since V is never written to the left of a symbol of greater value

(v) Since bar is not placed above any symbol

(vii) Since X can't be subtracted from D

(viii) Since V is never written to the left of a symbol of greater value

(x) Since I can be subtracted from V and X only

#### Page No 1.25:

#### Question 1:

The difference between the place value and face value of 8 in 658742 is

(a) 0

(b) 42

(c) 735

(d) 693

#### Answer:

The options given are incorrect.

The place value of 8 in 6,58,742 = 8 thousands = 8,000

The face value of 8 = 8

∴ Difference = 8,000 − 8 = 7,992

#### Page No 1.26:

#### Question 2:

The difference between the place values of 6 and 3 in 256839 is

(a) 3

(b) 9

(c) 6800

(d) 5930

#### Answer:

The options given are incorrect.

The place value of 6 in 2,56,839 = 6 thousands = 6,000

The place value of 3 in 2,56,839 = 3 tens = 30

∴ Difference = 6,000 − 30 = 5,970

#### Page No 1.26:

#### Question 3:

The difference of the smallest three digit number and the largest two digit number is

(a) 100

(b) 1

(c) 10

(d) 99

#### Answer:

(b) 1.

∴ Difference = 100 − 99 = 1

#### Page No 1.26:

#### Question 4:

The largest three digit number formed by the digits 8, 5, 9 is

(a) 859

(b) 985

(c) 958

(d) 589

#### Answer:

(b) 985

The largest number is formed by writing the digits in descending order.

#### Page No 1.26:

#### Question 5:

The smallest three digit number having three distinct digits is

(a) 123

(b) 101

(c) 102

(d) 201

#### Answer:

(c) 102

#### Page No 1.26:

#### Question 6:

The largest three digit number having distinct digits is

(a) 987

(b) 789

(c) 999

(d) 900

#### Answer:

(a) 987

#### Page No 1.26:

#### Question 7:

The difference between the largest three digit number and the largest three digit number with distinct digits is

(a) 10

(b) 0

(c) 12

(d) 13

#### Answer:

(c) 12

The largest three-digit number = 999

∴ Difference = 999 − 987 = 12

#### Page No 1.26:

#### Question 8:

The product of the place values of two three in 53432 is

(a) 9000

(b) 90000

(c) 10000

(d) 99000

#### Answer:

(b) 90,000

The 3 in the second place from right is at tens place.

Therefore, the place value of 3 at tens place = 30.

The 3 in the fourth place from right is at thousands place.

Therefore, the place value of 3 at thousands place = 3,000.

The product of the place values of two 3's = 3,000 × 30 = 90,000.

#### Page No 1.26:

#### Question 9:

The smallest counting number is

(a) 0

(b) 1

(c) 10

(d) None of these

#### Answer:

(b) 1

#### Page No 1.26:

#### Question 10:

The total number of 4 digit numbers is

(a) 8999

(b) 9000

(c) 8000

(d) 9999

#### Answer:

(b) 9,000

∴ Total number of four-digit numbers = (9,999 − 1,000 ) + 1 = 9,000

#### Page No 1.26:

#### Question 11:

The number of 3 digit numbers formed by using 3, 5, 9 taking each digit exactly once, is

(a) 3

(b) 4

(c) 5

(d) 6

#### Answer:

(d) 6

#### Page No 1.26:

#### Question 12:

Total number of numbers which when rounded off to nearest ten give us 200 is

(a) 9

(b) 10

(c) 8

(d) 7

#### Answer:

(b) 10

The numbers that when rounded off to nearest tens give us 200 are 195, 196, 197, 198, 199, 200, 201, 202, 203, 204.

#### Page No 1.26:

#### Question 13:

The smallest number which when rounded off the nearest hundred as 600, is

(a) 550

(b) 595

(c) 604

(d) 599

#### Answer:

(a) 550

All numbers from 550 to 649 are rounded off to the nearest hundred as 600. Therefore, the smallest number is 550.

#### Page No 1.26:

#### Question 14:

The greatest number which when rounded off to the nearest thousand as 7000, is

(a) 6500

(b) 6549

(c) 7499

(d) 6499

#### Answer:

(c) 7,499

#### Page No 1.26:

#### Question 15:

The difference between the greatest and smallest numbers which when rounded off a number to the nearest tens as 540, is

(a) 10

(b) 9

(c) 8

(d) 10

#### Answer:

(b) 9

544 is the greatest number that when rounded off to the nearest tens will become 540.

535 is the least number that when rounded off to the nearest tens will become 540.

∴ Difference: 544 − 535 = 9

#### Page No 1.26:

#### Question 16:

The difference between the greatest and smallest numbers which when rounded off a number to the nearest hundred as 6700, is

(a) 100

(b) 99

(c) 98

(d) 101

#### Answer:

(b) 99

6,749 is the greatest number that when rounded off to the nearest hundred will become 6,700.

6,650 is the least number that when rounded off to the nearest hundred will become 6,700.

∴ Difference = 6,749 − 6,650 = 99

#### Page No 1.26:

#### Question 17:

The difference between the greatest and the smallest numbers which when rounded off to the nearest thousand as 9000, is

(a) 1000

(b) 990

(c) 999

(d) 900

#### Answer:

(c) 999

9,499 is the greatest number that when rounded off to the nearest thousand will become 9,000.

8,500 is the smallest number that when rounded off to the nearest thousand will become 9,000.

∴ Difference = 9,499 − 8,500 = 999

#### Page No 1.26:

#### Question 18:

Which of the following numbers is equal to 1 billion?

(a) 10 lakh

(b) 1 crore

(c) 100 lakh

(d) 100 crore

#### Answer:

(d) 100 crore

#### Page No 1.26:

#### Question 19:

In the international place vlaue system, we write one million for

(a) 1 lakh

(b) 10 lakh

(c) 100 lakh

(d) 1 crore

#### Answer:

(b) 10 lakh

#### Page No 1.6:

#### Question 1:

Insert commas in the correct positions and write the following numbers in words in the Indian system and the international system of numeration:

(i) 10000007

(ii) 1234567

(iii) 1010560

(iv) 1112323

#### Answer:

(i) 10000007

**Indian system: **1,00,00,007, i.e., one crore and seven

**International system: **10,000,007, i.e., ten million and seven

(ii) 1234567

**Indian system: **12,34,567, i.e., twelve lakh, thirty-four thousand, five hundred and sixty-seven

**International system: **1,234,567, i.e., one million, two hundred thirty-four thousand, five hundred and sixty-seven

(iii)

**1010560**

**Indian system: **10,10,560, i.e., ten lakh, ten thousand, five hundred and sixty

**International system: **1,010,560, i.e., one million, ten thousand, five hundred and sixty

(iv)** **1112323

**Indian system: **11,12,323, i.e., eleven lakh, twelve thousand, three hundred and twenty-three

**International system: **1,112,323, i.e., one million, one hundred twelve thousand, three hundred and twenty-three

#### Page No 1.6:

#### Question 2:

Write each of the following expanded notation:

(i) 3057

(ii) 235060

(iii) 12345

(iv) 10205

#### Answer:

(i) 3000 + 50 + 7

(ii) 200000 + 30000 + 5000 + 60

(iii) 10000 + 2000 + 300 + 40 + 5

(iv) 10000 + 200 + 5

#### Page No 1.6:

#### Question 3:

Write each of the following in numeral form:

(i) Seventy thousand fifty three.

(ii) Six lakh two thousand nine.

(iii) Thrity lakh eleven thousand one.

#### Answer:

(i) 70,053

(ii) 6,02,009

(iii) 30,11,001

#### Page No 1.6:

#### Question 4:

Write the number names of each of the following:

(i) 69,007

(ii) 8,08,090

(iii) 47,28,003

(iv) 5,03,04,012

#### Answer:

(i) Sixty-nine thousand and seven

(ii) Eight lakh, eight thousand and ninety

(iii) Forty-seven lakh, twenty-eight thousand and three

(iv) Five crore, three lakh, four thousand and twelve

#### Page No 1.6:

#### Question 5:

Write each of the following in numeral form:

(i) Eight million seven hundred eight thousand four.

(ii) Six hundred seven million twelve thousand eighty four.

(iii) Four billion twenty five million forty five thousand.

#### Answer:

(i) 8,708,004

(ii) 607,012,084

(iii) 4,025,045,000

#### Page No 1.6:

#### Question 6:

Write the number names of each of the following in international system of numeration:

(i) 435,002

(ii) 1,047,509

(iii) 59,064,523

(iv) 25,201,905

#### Answer:

(i) Four hundred thirty-five thousand and two

(ii) One million, forty-seven thousand, five hundred and nine

(iii) Fifty-nine million, sixty-four thousand, five hundred and twenty-three

#### Page No 1.6:

#### Question 7:

Write 10075302 in words and rearrange the digits to get the smallest and the largest numbers.

#### Answer:

1,00,75,302 → One crore seventy-five thousand three hundred and two

Smallest number: 1,00,02,357 (write the digits in ascending order in such a way that total number of digits remain same)

Largest number: 7,53,21,000 (write the digits in descending order in such a way that total number of digits remain same)

#### Page No 1.6:

#### Question 8:

A certain nine digit number has only ones in ones period, only twos in the thousands period and only threes in millions period. Write this number in words in the Indian system.

#### Answer:

The number is 333, 222,111.

In Indian system, the number is written as 33,32,22,111 ⇒ Thirty-three crore thirty-two lakh twenty-two thousand one hundred and eleven.

#### Page No 1.6:

#### Question 9:

Find the place value of the digit 4 in each of the following:

(i) 74983160

(ii) 8745836

#### Answer:

(i) 4 ten lakhs (40,00,000)

#### Page No 1.6:

#### Question 10:

Determine the product of the place values of two fives in 450758.

#### Answer:

The number is 4,50,758.

The place values of 5 are 5 tens and 5 ten thousands.

#### Page No 1.6:

#### Question 11:

Determine the difference of the place values of two 7's in 257839705.

#### Answer:

The number = 25,78,39,705

The place value of first 7 (from right) = 25,78,39,__ 7__05 ⇒ 7 hundreds = 700

The place value of the other 7 (from right) = 25,

__8,39,705 ⇒ 7 ten lakhs = 70,00,000__

**7**∴ Difference = 70,00,000 − 700 = 69,99,300

#### Page No 1.6:

#### Question 12:

Determine the difference between the place value and the face value of 5 in 78654321.

#### Answer:

The number = 7,86,54,321

The place value of 5 = 5 ten thousands = 50,000

The face value of 5 = 5

∴ Difference = 50,000 − 5 = 49,995

#### Page No 1.6:

#### Question 13:

Which digits have the same face value and place value in 92078634?

#### Answer:

The place value of a digit depends on the place where it occurs, while the face value is the value of the digit itself.

In a number, the digit that have same face value and place value are the ones digit and all the zeroes of the number.

#### Page No 1.6:

#### Question 14:

How many thousands make a million?

#### Answer:

#### Page No 1.6:

#### Question 15:

How many millions make a billion?

#### Answer:

1,000 millions make a billion.

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#### Question 16:

How many billion's make a trillion?

#### Answer:

1,000 billions make a trillion.

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#### Question 17:

(i) How many lakhs make a million?

(ii) How many lakhs make a billion?

#### Answer:

(i) Ten lakhs make a million.

(ii) Ten thousand lakhs make a billion.

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#### Question 18:

What is the smallest 3-digit number with unique digits?

#### Answer:

The smallest three-digit number with unique digits is 102.

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#### Question 19:

What is the largest 5-digit number with unique digits?

#### Answer:

The largest five-digit number with unique digits is 98,765.

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#### Question 20:

Write the smallest 3-digit number which does not change if the digits are written in reverse order.

#### Answer:

The smallest three-digit number that does not change if the digits are written in reverse order is 101.

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#### Question 21:

How many different 3-digit numbers can be formed by using the digits 0,2,5 without repeating any digit in the number?

#### Answer:

The three-digit numbers formed using the digits 0, 2 and 5 (without repeating any digit in the number) are 250, 205, 502 and 520.

Therefore, four such numbers can be formed.

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#### Question 22:

Find the difference between the number 279 and that obtained on reversing its digits.

#### Answer:

The number obtained on reversing 279 = 972

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#### Question 23:

Form the largest and smallest 4-digit numbers using each of digits 7,1,0,5 only once.

#### Answer:

The largest and smallest four-digit numbers formed using 7, 1, 0 and 5 are 7,510 and 1,057.

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#### Question 24:

Write all possible 3-digit numbers using the digits 6,0,4 when

(i) repetition of digits is not allowed

(ii) repetition of digits is allowed

#### Answer:

(i) 604, 640, 460, 406

(ii) 666, 664, 646, 660, 606, 600, 644, 640, 604, 444, 466, 440, 446,464, 400, 404, 406, 460

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#### Question 1:

Put the appropriate symbols (<,>) in each of the following boxes:

(i) 102394 $\overline{)}$ 99887

(ii) 2507324 $\overline{)}$ 2517324

(iii) 3572014 $\overline{)}$ 10253104

(iv) 47983505 $\overline{)}$ 47894012

#### Answer:

(i) 1,02,394 > 99,887

(ii) 25,07,324 < 25,17,324

(iii) 35,72,014 < 1,02,53,104

(iv) 4,79,83,505 > 4,78,94,012

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#### Question 2:

Arrange the following numbers in ascending order:

(i) 102345694, 8354208, 6539542, 63547201, 12345678

(ii) 1808090, 1808088, 181888, 190909, 16060666

#### Answer:

(i) 65,39,542, 83,54,208, 1,23,45,678, 6,35,47,201, 10,23,45,694

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#### Question 3:

Arrange the following numbers in descending order:

(i) 56943300, 56943201, 5695440, 56944000, 5694437

(ii) 1020216, 1020308, 1021430, 893245,893425

#### Answer:

(i) 5,69,44,000, 5,69,43,300, 5,69,43,201, 56,95,440, 56,94,437

(ii) 10,21,430, 10,20,308, 10,20,216, 8,93,425, 8,93,245

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