Which choice shows (50+30) +40 correctly rewritten using the associative property and then correctly simplified?

1 answer

The associative property allows you to group numbers differently when performing addition.

Starting with the expression \((50 + 30) + 40\), we can use the associative property to regroup the numbers. One possible way to rewrite this using the associative property is:

\[ 50 + (30 + 40) \]

Now, we can simplify the expression:

  1. Calculate \(30 + 40\): \[ 30 + 40 = 70 \]

  2. Now substitute this back into the expression: \[ 50 + 70 \]

  3. Finally, add \(50 + 70\): \[ 50 + 70 = 120 \]

So, the expression \((50 + 30) + 40\) rewritten using the associative property and correctly simplified results in \(120\).