Chapter 1 - Integers - R D Sharma Solutions for Class 7
Integers are a set of those numbers consisting of whole numbers and negative numbers. Integers can never be in the form of fraction or decimal. The examples of integers are 0. -1, 6, 3, -4...etc.
Integers include positive numbers, negative numbers and zero. Positive numbers are 1, 2, 3, 4…., Negative numbers are -1, -2, -3, -4….
Multiplication of Integers
While multiplying integers, we must keep in mind two rules which are as follows:
Rule1: The product of two integers carrying opposite signs is equal to the additive inverse of the product of their absolute values. For example: 5×-4=-20
In the above example, 5 is positive integer and -4 is negative integer, the product of these two is equal to the additive inverse of5×4=20, that is -20
Rule 2: The product of two integers carrying like signs is equal to the product of their absolute values. For example: 6×3=18 and -4×-3=12
In the above examples, both 6 and 3 carry positive sign thus the multiplication of these two is the product of their absolute values, that is 18. Also, in another example both 4 and 3 carry negative signs, thus their product will be 12.