# 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. $$(1.2) \boldcdot (0.11)$$
2. $$(0.34) \boldcdot (0.02)$$
3. $$120 \boldcdot (0.002)$$

### Problem 3

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

1. What must the side length of each square represent for the rectangle to correctly represent $$(0.3) \boldcdot (0.5)$$?
2. What area is represented by each square?
3. 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.

1. $$3 \boldcdot (0.6)$$
2. $$(0.4) \boldcdot 2$$
3. $$(0.4) \boldcdot (0.6)$$
4. $$3 \boldcdot 2$$
(From Unit 3, Lesson 17.)

### Problem 5

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

(From Unit 3, Lesson 7.)

### Problem 6

Calculate each difference. Show your reasoning.

1. $$13.2 - 1.78$$
1. $$23.11 - 0.376$$
1. $$0.9 - 0.245$$
(From Unit 3, Lesson 15.)