# Lesson 5

Decimal Points in Products

The practice problem answers are available at one of our IM Certified Partners

### Problem 1

1. Find the product of each number and $$\frac{1}{100}$$.

122.1

11.8

1350.1

1.704

2. What happens to the decimal point of the original number when you multiply it by $$\frac{1}{100}$$? Why do you think that is? Explain your reasoning.

### Problem 2

Which expression has the same value as $$(0.06) \boldcdot (0.154)$$? Select all that apply.

A:

$6 \boldcdot \frac{1}{100} \boldcdot 154 \boldcdot \frac{1}{1,000}$

B:

$6 \boldsymbol \boldcdot 154 \boldcdot \frac{1}{100,000}$

C:

$6 \boldcdot (0.1) \boldcdot 154 \boldcdot (0.01)$

D:

$6 \boldsymbol \boldcdot 154 \boldcdot (0.00001)$

E:

0.00924

### Problem 3

Calculate the value of each expression by writing the decimal factors as fractions, then writing their product as a decimal. Show your reasoning.

1. $$(0.01)\boldcdot (0.02)$$
2. $$(0.3) \boldcdot (0.2)$$
3. $$(1.2) \boldcdot 5$$
4. $$(0.9) \boldcdot (1.1)$$
5. $$(1.5)\boldcdot 2$$

### Problem 4

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

### Problem 5

Calculate each sum.

1. $$33.1+ 1.95$$
1. $$1.075 + 27.105$$
1. $$0.401+9.28$$
(From Grade6, Unit 5, Lesson 3.)

### Problem 6

Calculate each difference. Show your reasoning.

1. $$13.2 - 1.78$$
1. $$23.11 - 0.376$$
1. $$0.9 - 0.245$$
(From Grade6, Unit 5, Lesson 4.)

### Problem 7

On the grid, draw a quadrilateral that is not a rectangle that has an area of 18 square units. Show how you know the area is 18 square units.

(From Grade6, Unit 1, Lesson 3.)