Integers Class 7 MCQ Questions

Answer: (c) -79

Explanation: While adding two integers with the same sign, we add their values regardless of their signs, and give the sum, their common sign.

In present case,

First we add the values of the two integers, regardless of the negative sign:

35 + 44 = 79

Now we would assign the common sign to the answer,

In present case the common sign is ( – )

So, the sum of (-35) and (-44) is -79.

Answer: (a) 32

Explanation: When we have to add two integers with different signs ( one is positive and other is negative), we find their difference, regardless of their signs, and give the sign of the integer with the greater value to such difference.

In present case,

First we find the difference to the given integers i.e., 58 – 26 = 32

Now, we would assign the sign of the greater integer to the result.

In this case, 58 > 26

and the sign of 58 is ( + )

Hence, the sum of -26 and 58 is +32 or, 32.

Answer: (b) 55

Explanation: Given equation:

( _ ) + 28 ) + (-46) = 55 + ( 28 + (-46) )

Based on the Associative Property of Addition of Integers.

( a + b ) + c = a + ( b + c )

If we compare this with the given equation

( 55 + 28 ) + (-46) = 55 + ( 28 + (-46) )

Answer: (a) 122

Explanation: The additive inverse of any given integer (a) is (-a).

here, a = -122

(-a) = – ( -122 ) = 122

Hence, Additive inverse of -122 is 122.

Answer: (b) 6

Explanation: In order to subtract a smaller integer from a larger integer, where both the integers are positive, we subtract the smaller integer from the higher integer, and give the positive sign to the difference.

So, first we subtract the smaller integer from the higher integer.

80 – 74 = 6

Now, we assign positive sign to the result i.e., +6 or 6

Hence, 80 – 74 = 6.

Answer: (a) -24

Explanation: In order to subtract a smaller integer from a larger integer, where both the integers are negative, we subtract the smaller integer from the higher integer, and give the negative sign to the difference.

In the present case, both – 55 and – 31 are negative.

Difference of the two integers, ignoring their signs :

= 55 – 31

= 24

Now, we assign negative sign to the result i.e., (-24)

Hence, ( -55 ) – ( -31 ) = (-24).

Answer: (c) -84

Explanation: Let the other integer be x

we are given that

x + 46 = -38

x = -38 – 46

x = -84
Hence, the other integer is -84.

Answer: (c) -13

Explanation: Let the value of the integer be x

we are given that

x – ( -61 ) = 48

x + 61 = 48

x = 48 – 61

x = -13

Hence, the value of the integer is -13.

Answer: (b) -212

Explanation: When we subtract a positive integer from a negative integer, we add the two integers and and give the negative sign to it.

Since, – 86 is negative and 126 is positive

We simply Add the two integers, ignoring their signs:

= 126 + 86

= 212

and assign negative sign to the result i.e., -212

Hence, ( -126 ) – ( 86 ) = -212

Answer: (c) 46

Explanation: When we subtract a negative integer from a positive integer then, we add the two numbers.

Since, 17 is positive and 29 is negative

We simply Add the two integers, ignoring their signs:

= 29 + 17

= 46 or +46

Hence, ( 17 ) – ( -29 ) = +46 or 46.

Answer: (b) 325

Explanation: Multiplication of two negative integers is always a positive integer. In order to multiply two negative integers we simply multiply two numbers, and add a positive sign to it.

Since, both -13 and -25 are negative.

We simply multiply the two integers, ignoring their signs:

13 x 25 = 325

and add the positive sign to the product + 325

Hence, -13 x -25 = +325 or 325.

Answer: (c) -154

Explanation: Multiplication of one positive and one negative integer will always results in negative integer. In order to multiply a positive integer and a negative integer, we simply multiply the two numbers, and add a negative sign to it.

Since, 14 is positive and -11 is negative.

We simply multiply the two integers, ignoring their signs:

14 x 11 = 154

and assign a negative sign to the result – 154

Hence, 14 x -11 = -154.

Answer: (c) 1

Explanation: Given equation:

-15 x ( _ ) = -15

Based on the Identity Property of Multiplication of Integers.

a x 1 = a

a = -15

Hence the value of the missing box = 1

-15 x 1 = -15

Answer: (b) -1/29

Explanation: Multiplicative inverse of any non-zero integer (a) is (1/a).

here, a = -29

(1/a) = -(1/29)

Hence, Multiplicative inverse of -29 = -(1/29).

Answer: (a) -1

Explanation: To find the product of repeating non-zero negative integers, we first count the number of digits.

If number of negative integers in the given product is odd then, we find the product of the numbers and add a negative sign to it.

Number of negative integers = 15 i.e., ( Odd )

Hence the product of the given numbers would be negative.

( -1 ) x ( -1 ) x ( -1 ) ……. 15 times = (-1)¹⁵ = -1

Answer: (b) 8

Explanation: Division of two negative integers is always a positive integer. In order to divide two negative integers we simply divide the two numbers, and add a positive sign to it.

Since, both -120 and -15 are negative.

We simply divide the two integers, ignoring their signs:

120 ÷ 15 = 8

Add the positive sign to result i.e., + 8

Hence, ( -120 ) ÷ ( -15 ) = ( +8 ) or 8

Answer: (a) -8

Explanation: In order to divide a negative integer by a positive integer, we simply divide a negative integer by a positive integer and assign a negative sign to the result.

Since, ( -96 ) is negative and 12 is positive.

We simply divide the two integers, ignoring their signs:

( 96 ) ÷ 12 = 8

and assign the negative sign to result i.e., – 8

Hence, ( -96 ) ÷ ( 12 ) = ( -8 ).