Grade 6 | Unit 5 | Lesson 6: Methods for Multiplying Decimals | Practice Problems

Find each product of the given expressions.

• 0.132

• 0.0068

• 0.24

You can use a rectangle to represent ($0.3 \cdot 0.5$). What must the side length of each square represent? What area is represented by each square? What is ($0.3 \cdot 0.5$)? Show your reasoning.

• 0.1

• 0.01 square units

• 0.15

One gallon of gasoline in Buffalo, New York costs $2.29. In Toronto, Canada, one liter of gasoline costs $0.91. There are 3.8 liters in one gallon. How much does one gallon of gas cost in Toronto? Round your answer to the nearest cent.

Is the cost of gas greater in Buffalo or in Toronto? How much greater?

Calculate each sum or difference: 1. 10.3 + 3.7 2. 20.99 - 4.97 3. 15.99 + 23.51 4. 1.893 - 0.353

• 14

• 16.02

• 39.5

• 1.54

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

Find the area of the shaded region. All angles are right angles. Description: A multi-sided figure. The sides on top measure 10 units, 35 units, and 15 units. Two of the three sides on the left measure 10 units. One of the two sides on the right measures 10 units. One of the two sides on the bottom measure 15 units. The total width of the figure is 60 units, and the total height is 30 units. All angles are right angles.

Priya finds ($1.05 \cdot 2.8$) by calculating (105 \cdot 28), then moving the decimal point three places to the left. Why does Priya’s method make sense? Use Priya’s method to calculate ($1.05 \cdot 2.8$). You can use the fact that (105 \cdot 28 = 2,940).

Use Priya’s method to calculate ($0.0015 \cdot 0.024$).