Question

Two expressions are shown below: A. 5(4 + 9) B. 29 + 36 Explain why Expression A is equivalent to Expression B. Use a property of operation in your answer.

Answer 1

The two expressions A and B are equivalent because the value of both expressions is same.

Explanation:

Given: Expression A is 5(4+9) and expression B is 29+36.

To find: The reason why expressions A and B are equivalent.

First we solve expression A.

`5(4+9)=5*4+5*9` (using
`a(b+c)=a*b+a*c`)

⇒
`5(4+9)=20+45`

⇒
`5(4+9)=65`

Now we solve expression B.

`29+36=45`

Clearly, the value of both the expressions is same.

Hence, the expression A is equivalent to expression B.