Ncert exemplar solutions mathematics class 6 Solutions for Chapter 3 integers

In questions 1 to 17, only one of the four options is correct. Write the correct one.

1. Every integer less than 0 has the sign

(A) +

(B) –

(C) ×

(D) ÷

The integer ‘5 units to the right of 0 on the number line’ is

(A) +5

(B) –5

(C) +4

(D) – 4

The predecessor of the integer –1 is

(A) 0

(B) 2

(C) –2

(D) 1

Number of integers lying between –1 and 1 is

(A) 1

(B) 2

(C) 3

(D) 0

Number of whole numbers lying between –5 and 5 is

(A) 10

(B) 3

(C) 4

(D) 5

The greatest integer lying between –10 and –15 is

(A) –10

(B) –11

(C) –15

(D) –14

The least integer lying between –10 and –15 is

(A) –10

(B) –11

(C) –15

(D) –14

On the number line, the integer 5 is located

(A) to the left of 0

(B) to the right of 0

(C) to the left of 1

(D) to the left of –2

In which of the following pairs of integers, the first integer is not on the left of the other integer on the number line?

(A) (–1, 10)

(B) (–3, –5)

(C) (–5, –3)

(D) (–6, 0)

The integer with negative sign (–) is always less than

(A) 0

(B) –3

(C) –1

(D) –2

An integer with positive sign (+) is always greater than

(A) 0

(B) 1

(C) 2

(D) 3

The successor of the predecessor of –50 is

(A) –48

(B) –49

(C) –50

(D) –51

The additive inverse of a negative integer

(A) is always negative

(B) is always positive

(C) is the same integer

(D) zero

Amulya and Amar visited two places A and B respectively in Kashmir and recorded the minimum temperatures on a particular day as –4°C at A and –1°C at B. Which of the following statement is true?

(A) A is cooler than B

(B) B is cooler than A

(C) There is a difference of 2°C in the temperature

(D) The temperature at A is 4°C higher than that at B.

When a negative integer is subtracted from another negative integer, the sign of the result

(A) is always negative

(B) is always positive

(C) is never negative

(D) depends on the numerical value of the integers

The statement “When an integer is added to itself, the sum is greater than the integer” is

(A) always true

(B) never true

(C) true only when the integer is positive

(D) true for non-negative integers

Which of the following shows the maximum rise in temperature?

(A) 0°C to 10°C

(B) –4°C to 8°C

(C) –15°C to –8°C

(D) –7°C to 0°C

In questions 18 to 39, state whether the given statements are true (T) or false (F) :

The smallest natural number is zero.

Zero is not an integer as it is neither positive nor negative.

The sum of all the integers between –5 and –1 is –6.

The successor of the integer 1 is 0.

Every positive integer is larger than every negative integer.

The sum of any two negative integers is always greater than both the integers.

The sum of any two negative integers is always smaller than both the integers.

The sum of any two positive integers is greater than both the integers.

All whole numbers are integers.

All integers are whole numbers.

Since 5 > 3, therefore –5 > –3

Zero is less than every positive integer.

Zero is larger than every negative integer.

On the number line, an integer on the right of a given integer is always larger than the integer.

–2 is to the left of –5 on the number line.

The smallest integer is 0.

6 and –6 are at the same distance from 0 on the number line.

The difference between an integer and its additive inverse is always even.

The sum of an integer and its additive inverse is always zero.

The sum of two negative integers is a positive integer.

The sum of three different integers can never be zero.

In questions 40 to 49, fill in the blanks to make the statements true:

On the number line, –15 is to the _______ of zero.

On the number line, 10 is to the _______ of zero.