Chapter 1: Integers

Q1Written answer

When the integers 10, 0, 5, – 5, – 7 are arranged in descending or ascending order, then find out which of the following integers always remains in the middle of the arrangement.

(a) 0 (b) 5 (c) – 7 (d) – 5

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Worked solution

(a) 0

When the given integers are arranged in descending order we have: 10, 5, 0, -5, -7

When the given integers are arranged in an ascending order we have: -7, -5, 0, 5, 10

It’s seen that in both the orders 0 always remains in the middle of the arrangement.

Q2Written answer

By observing the number line (Fig. 1.2), state which of the following statements is not true.

NCERT Exemplars Class 7 Maths Solutions Chapter 1 Image 1

(a) B is greater than –10 (b) A is greater than 0

(c) B is greater than A (d) B is smaller than 0

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Worked solution

(c) B is greater than A.

Since, B lies to the left of zero and A lies to the right of zero on the number line clearly, A has to be greater than B.

Q3Written answer

By observing the above number line (Fig. 1.2), state which of the following statements is true.

(a) B is 2 (b) A is – 4 (c) B is –13 (d) B is – 4

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Worked solution

(d) B is -4

Each division on the number line is 1 unit apart. Then, B is 4 units from the left of zero.

Q4Written answer

Next three consecutive numbers in the pattern 11, 8, 5, 2, –, –, — are

(a) 0, – 3, – 6 (b) – 1, – 5, – 8 (c) – 2, – 5, – 8 (d) – 1, – 4, – 7

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Worked solution

(d) -1, -4, -7

In the given sequence of numbers, each number differs by 3 from the previous number.

Q5Written answer

The next number in the pattern – 62, – 37, – 12 _________ is

(a) 25 (b) 13 (c) 0 (d) –13

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Worked solution

(a) 13

It’s found that the pattern is -62 + 25 = -37, -37 + 25 = -12

So, similarly -12 + 25 = 13

Q6Multiple choice

Which of the following statements is not true?

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Correct option: C

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Worked solution

(c) When a positive integer and a negative integer is added we always get a negative integer.

The above statement is false as when a positive and a negative integer is added we may get a positive number or even zero.

Q7Written answer

On the following number line value ‘Zero’ is shown by the point

NCERT Exemplars Class 7 Maths Solutions Chapter 1 Image 2

(a) X (b) Y (c) Z (d) W

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Worked solution

(C) Z

It’s observed that each division on the number line is 5 units. So, from 10 taking two division to its left we get zero.

Q8Written answer

If ⊗, O, and • represent some integers on number line, then descending order of these numbers is

The descending order of these numbers is as in option (c).

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Worked solution

Solution coming soon.

Q9Multiple choice

On the number line, the value of (–3) × 3 lies on right hand side of

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Correct option: A

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Worked solution

(a) -10

As (-3) x 3 = -9

So, -9 lies to the right to -10.

Q10Written answer

The value of 5 ÷ (–1) does not lie between

(a) 0 and – 10 (b) 0 and 10 (c) – 4 and – 15 (d) – 6 and 6

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Worked solution

(b) 0 and 10

The value of 5 ÷ (–1) = -5

As it is a negative number it doesn’t lie between 0 and 10.

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