Which answer choice shows a statement that is equivalent to \16+24/+10

using the associative property of addition?

1 answer

To show a statement equivalent to \( 16 + 24 + 10 \) using the associative property of addition, we first recall that the associative property states that the way in which numbers are grouped in addition does not change their sum.

Using the associative property, we can regroup the numbers. For example, we can group \( 16 \) and \( 24 \) and then add \( 10 \):

\[ (16 + 24) + 10 \]

This is equivalent to the original expression \( 16 + 24 + 10 \).

Alternatively, we could group \( 24 \) and \( 10 \):

\[ 16 + (24 + 10) \]

Both of these statements are equivalent and utilize the associative property of addition.

If you have multiple choice options, look for one that resembles either \( (16 + 24) + 10 \) or \( 16 + (24 + 10) \).