Question

create equivalent addition sentence that illustrates the associative property in addition (3+9)+10=22

Answer 1

We are given the following sum

`(3+9)+10=22`

We are asked to create an equivalent addition sentence that illustrates the associative property in addition.

Recall that the associative property of addition is given by

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

This property states that changing the grouping of numbers yields the same sum.

This means that you can re-group the numbers as you like.

Let us apply this property to re-write the given sum as

`3+\mleft(9+10\mright)=22`

Therefore, the above sum shows an equivalent addition sentence that illustrates the associative property in addition.