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 [math]\left(0.3\right)\cdot\left(0.5\right)[/math]?
What area is represented by each square?
What is [math](0.3)\cdot(0.5)[/math]? Show your reasoning.[br]
[size=150]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. [br][br][size=100]How much does one gallon of gas cost in Toronto? Round your answer to the nearest cent.[/size][br][/size]
Is the cost of gas greater in Buffalo or in Toronto? How much greater?
Calculate each sum or difference:
[math]10.3+3.7[/math][br]
[math]20.99-4.97[/math][br]
[math]15.99+23.51[/math][br]
[math]1.893-0.353[/math][br]
Find the value of [math]\frac{49}{50}\div\frac{7}{6}[/math] using any method.
Find the area of the shaded region. All angles are right angles. Show your reasoning.
Priya finds [math]\left(1.05\right)\cdot\left(2.8\right)[/math] by calculating [math]105\cdot28[/math], then moving the decimal point three places to the left. Why does Priya’s method make sense?
Use Priya’s method to calculate [math]\left(1.05\right)\cdot\left(2.8\right)[/math]. You can use the fact that [math]105\cdot28=2,940[/math].
Use Priya’s method to calculate [math]\left(0.0015\right)\cdot\left(0.024\right)[/math].
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Information: IM 6.5.6 Practice: Methods for Multiplying Decimals