Lesson 06: Methods for Multiplying Decimals | Unit 5: Arithmetic in Base Ten

Open Ended

Find the product of $$(1.2)\cdot(0.11)$$ . Show your reasoning.

Open Ended

Find the product of $$(0.34)\cdot(0.02)$$ . Show your reasoning.

Open Ended

Find the product of $$120\cdot(0.002)$$ . Show your reasoning.

Multiple Choice

You can use a rectangle to represent $$(0.3)\cdot(0.5)$$
What must the side length of each square represent for the rectangle to correctly represent $$(0.3)\cdot(0.5)$$ ?

• 0.2 and 0.4
• 0.1 and 0.6
• 0.3 and 0.5
• 0.5 and 0.5

Multiple Choice

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

What area is represented by each square?

• 0.15
• 0.5
• 0.1
• 0.025

Open Ended

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

What is $$(0.3)\cdot(0.5)$$ ? Show your reasoning.

Multiple Choice

Suppose gasoline costs $2.29 per gallon in Buffalo, New York, and $0.91 per liter in Toronto, Canada. 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.

• 4.12
• 3.00
• 2.29
• 3.46

Multiple Choice

Suppose gasoline costs $2.29 per gallon in Buffalo, New York and $0.91 per liter in Toronto, Canada. There are 3.8 liters in one gallon.

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

• Gasoline is greater in Toronto by $1.168 per gallon.
• Gasoline costs the same in both cities.
• Gasoline is greater in Toronto by $0.75 per gallon.
• Gasoline is greater in Buffalo by $0.50 per gallon.

Open Ended

Find the area of the shaded region. All angles are right angles. Show your reasoning.

Multiple Choice

Why does Priya’s method of calculating $$\left(1.05\right)\cdot\left(2.8\right)$$ by calculating $$105\cdot28$$ , then moving the digits three places to the right, make sense?

• It simplifies the calculation by rounding both numbers.
• The method makes sense because it correctly accounts for the decimal places in the final result.
• The method ignores the decimal places entirely.
• The method is only applicable for whole numbers.