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## Pre-algebra

### Unit 11: Lesson 5

Working with powers of 10

# Multiplication and division with powers of ten

## Problem

Quinn tried to evaluate an expression step by step.
\qquad\begin{aligned} &(3 \cdot 10^4) \cdot 0.002 \\\\ \\ =&(3 \cdot 10^4) \cdot (2\cdot10^{-3})&\green{\text{Step } 1}\\\\ \\ =&(3\cdot2)\cdot(10^4\cdot10^{-3})&\blue{\text{Step } 2}\\\\ \\ =&6 \cdot10^1&\purple{\text{Step } 3} \\\\ \end{aligned}
Find Quinn's mistake.