Question 1

What is the result of adding -15 and 25?

Accepted Answer

To add -15 and 25, we find the difference between their absolute values because they have opposite signs. The absolute values are 15 and 25. The difference is 25 - 15 = 10. Since the number with the larger absolute value (25) is positive, the result is positive 10.

Question 2

What is the product of (-5) × (-4) × (-2)?

Accepted Answer

First, multiply (-5) and (-4) to get 20 (since negative times negative is positive). Then, multiply 20 by (-2) to get -40 (since positive times negative is negative). Thus, the product is -40.

Question 3

What is the additive inverse of -37?

Accepted Answer

The additive inverse of an integer is that number which, when added to the given integer, gives a sum of zero. For any integer 'a', its additive inverse is '-a'. Therefore, the additive inverse of -37 is -(-37) = 37.

Question 4

Evaluate: (-36) ÷ (-9)

Accepted Answer

When dividing a negative integer by another negative integer, the result is always a positive integer. Dividing 36 by 9 gives 4. Therefore, (-36) ÷ (-9) = 4.

Question 5

Which of the following properties is represented by a × (b + c) = (a × b) + (a × c)?

Accepted Answer

The property a × (b + c) = (a × b) + (a × c) is known as the distributive property of multiplication over addition for integers.

Integers — MP Board Class 7 Mathematics Important Questions & Revision Notes