IM 6.5.6 Practice: Methods for Multiplying Decimals

Find each product. Show your reasoning.
You can use a rectangle to represent (0.3)·(0.5).
What must the side length of each square represent for the rectangle to correctly represent ?
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What area is represented by each square?
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What is ? Show your reasoning.
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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.
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Is the cost of gas greater in Buffalo or in Toronto? How much greater?
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Calculate each sum or difference:
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Find the value of  using any method.
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Find the area of the shaded region. All angles are right angles. Show your reasoning.
Priya finds  by calculating , then moving the decimal point three places to the left. Why does Priya’s method make sense?
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Use Priya’s method to calculate . You can use the fact that .
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Use Priya’s method to calculate .
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Information: IM 6.5.6 Practice: Methods for Multiplying Decimals