Lesson 5: Practice Problems

Problem 1

Find the product of each number and $\frac{1}{100}$ .
122.1
11.8
1350.1
1.704
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 $(0.06) \cdot (0.154)$ ? Select all that apply.

$6 \cdot \frac{1}{100} \cdot 154 \cdot \frac{1}{1, 000}$
$6 \cdot 154 \cdot \frac{1}{100, 000}$
$6 \cdot (0.1) \cdot 154 \cdot (0.01)$
$6 \cdot 154 \cdot (0.00001)$
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.

$(0.01) \cdot (0.02)$
$(0.3) \cdot (0.2)$
$(1.2) \cdot 5$
$(0.9) \cdot (1.1)$
$(1.5) \cdot 2$

Problem 4

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

Problem 5 From Unit 5 Lesson 3

Calculate each sum.

$33.1 + 1.95$
$1.075 + 27.105$
$0.401 + 9.28$

Problem 6 From Unit 5 Lesson 4

Calculate each difference. Show your reasoning.

$13.2 - 1.78$
$23.11 - 0.376$
$0.9 - 0.245$

Problem 7 From Unit 1 Lesson 3

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.

A blank coordinate plane with 16 evenly spaced horizontal units and 12 evenly spaced vertical units.