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Study Material Change Chapter Integers 100% Topic:Division of Integers Take a Chapter Test View NCERT Solutions View Revision Notes

Suppose Manmohan wants to distribute Rs 1000 equally among his 5 grandchildren. What amount will each child receive?

To answer this question, we are required to divide 1000 by 5. The value of the expression 1000 ÷ 5 is found to be 200. Thus, Manmohan gives Rs 200 to each grandchild.

We were able to answer this question easily because it involved division of whole numbers.

Sometimes, we come across the situations when we need to perform division of integers.

To understand the rules followed for dividing integers, let us look at the following video.

Let us now solve some examples based on these properties.

Example 1:

Find the values of the following expressions.

(i) 26 ÷ 13

(ii) (44) ÷ 11

(iii) 36 ÷ (2)

(iv)

(v)

(vi) 48 ÷ [(6) (+2)]

Solution:

(i) 26 ÷ 13 = 2

(ii) (44) ÷ 11 = 4

(iii) 36 ÷ (2) = 18

(iv) = 7

(v)

(vi) 48 ÷ [(6) (+2)] = 48 ÷ (8) = 6

Example 2:

Fill in the boxes to satisfy the following equations.

(i) 54 ÷ = 6

(ii) 1 ÷ (1) =

(iii) = 145

(iv)

(v) ÷ 4 = 7

Solution:

(i) 54 ÷ = 6

(ii) 1 ÷ (1) =

(iii) = 145

(iv) = 3

(v) ÷ 4 = 7

Example 3:

If the cost of 6 pens is Rs 84, then what is the cost of one pen?

Solution:

Cost of 6 pens = Rs 84

∴ Cost of 1 pen = Rs

= Rs 14

Example 4:

Isha took a test. Each question in the test carried (+4) marks for the correct answer and (2) marks for the wrong one. Isha answered 10 questions correctly, but scored 10 marks in total. Find the number of questions that Isha answered incorrectly, if she attempted all the questions.

Solution:

Marks for one correct answer = +4

Isha attempted 10 questions correctly.

Therefore, marks which she scored for the correct answers = 10 × 4 = 40

Total marks = 10

∴ Marks which she scored for the incorrect answers = 10 40 = 30

Marks for 1 incorrect answer = 2

Thus, number of questions attempted incorrectly by Isha = ( 30) ÷ ( 2) = 15

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