### Home > MC2 > Chapter 5 > Lesson 5.3.4 > Problem5-128

5-128.

One student rewrote the expression $17 · 102$ as $17(100 + 2)$, and then simplified to get the expression $1700 + 34$.

1. Are the three expressions equal? Justify your answer.

Do you get the same answer when you evaluate all three equations?

$17 (102) = 17 (100 + 2) = 1700 + 34$
Is this true?

2. What property of numbers does this demonstrate?

Do you recall what property allows you to distribute a multiplier of each term in a sum?