Question

Use the Associative Property to write and expression equivalent to (w+9)+3.

Please use your explanation.

Answer 1

Associative property:-

`\boxed{\sf (a+b)+c=a+(b+c)}`

Now

`\\ \sf\longmapsto (w+9)+3`

`\\ \sf\longmapsto 3+(w+9)`

Answer 2

The equivalent expression for the given expression (w+9)+3 using associative property is w + 12

Solution:

Given that, expression is ( w + 9 ) + 3

We have to find how do we can use the associative property to write an expression equivalent to ( w + 9 ) + 3

The associative property states that you can add or multiply regardless of how the numbers are grouped

By above definition, we get

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

So, now let us apply the above property to the given expression,

Then, ( w + 9 ) + 3 = w + ( 9 + 3 ) = w + 12

Hence, the equivalent expression for the given expression is w + 12