Question

Suppose a and b give the populations of two states where a>b. Compare the expressions and tell which of given pair is greater or if the expressions are equal. Justify your answer.5(a+b)and (a+b)5

Answer 1

Given:

The population of two states are a and b.

The expression for the population is given as 5(a+b) and (a+b)5

The objective is to find which of the pair of expressions is greater or equal.

Step-by-step explanation:

The condition for the population of two states is given as a a>b.

By the commutative property of multiplication, the product of interchage of two numbers will always equal

`m* n=n* m`

Similarly, in the given expression the two terms are 5 and (a+b).

By applying the property:

By applying the commutative property of multiplication the product of interchange of the given two terms will also be equal.

`5(a+b)=(a+b)5`

Hence, the given pair of expressions are equal.