### Home > MC1 > Chapter 3 > Lesson 3.4.5 > Problem 3-151

3-151.

. Hilda was simplifying some numerical expressions and made each of the following sequences of calculations. Name the mathematical property, operation, or idea that justifies how Hilda went from each step to the next step. Homework Help ✎

5 · 412

= 5(400 + 10 + 2)

= 5 · 400 + 5 · 10 + 5 · 2

= 2000 + 50 + 10

= 206017 + 29 + 3 + 1

= 17 + 3 + 29 + 1

= (17 + 3) + (29 + 1)

= 20 + 30

= 50

Decomposed 412

Distributive Property

Multiplied each term

Added the terms together

If you are having trouble, go back through Chapter 3 and review the mathematical properties before checking the answers.

For each step, think about what Hilda did to the expression.

Was she grouping terms differently?

Did she move any terms?