G8

Challenge Problems

Directions: Simplify the expression.

(1.2 × 10^3 )^2

Solution: Distribute the outside exponent to both terms. (1.2)^2 × (10^3 )^2 1.44 × (103 × 2) Answer: 1.44 × 10^6

�1. 2 × 102 �

3

2 × 103

Solution: Distribute the outside exponent to both terms. ( 1.728 ÷ 1.2) × (106 - 3) Answer: 1.44 × 10^3

Extension Activity * MP1: Make sense of the problem and persevere in solving it. * MP4: Apply mathematics in everyday life.

Using only the digits 1-9, create as many true equations as possible. For each equation, the digits are only to be used once.

▭.▭ × 10³ × ▭ × 10³ = ▭.▭ × 10³

Challenge Problems