# Lesson 16

Methods for Multiplying Decimals

Let’s look at some ways we can represent multiplication of decimals.

### Problem 1

Write three numerical expressions that are equivalent to \((0.0004) \boldcdot (0.005)\).

### Problem 2

Find each product. Show your reasoning.

- \((1.2) \boldcdot (0.11)\)
- \((0.34) \boldcdot (0.02)\)
- \(120 \boldcdot (0.002)\)

### Problem 3

You can use a rectangle to represent \((0.3) \boldcdot (0.5)\).

- What must the side length of each square represent for the rectangle to correctly represent \((0.3) \boldcdot (0.5)\)?
- What area is represented by each square?
- What is \((0.3) \boldcdot (0.5)\)? Show your reasoning.

### Problem 4

Here is a rectangle that has been partitioned into four smaller rectangles.

For each expression, choose the sub-rectangle whose area, in square units, matches the expression.

- \(3 \boldcdot (0.6)\)
- \((0.4) \boldcdot 2\)
- \((0.4) \boldcdot (0.6)\)
- \(3 \boldcdot 2\)

### Problem 5

Find the value of \(\frac{49}{50}\div\frac{7}{6}\) using any method.

### Problem 6

Calculate each difference. Show your reasoning.

- \(13.2 - 1.78\)

- \(23.11 - 0.376\)

- \(0.9 - 0.245\)