Dimensional Analysis

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What is dimensional analysis?

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Dimensional analysis is a mathematical technique used to convert units from one system to another, ensuring that equations are dimensionally consistent.

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CCSS.6.RP.A.3D

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How many inches are in a foot?

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There are 12 inches in a foot.

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CCSS.4.MD.A.1

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Convert 40 feet to inches.

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40 feet = 480 inches.

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CCSS.2.MD.A.2

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What is the conversion factor from yards to feet?

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1 yard = 3 feet.

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CCSS.4.MD.A.1

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Convert 2.6 yards to feet.

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2.6 yards = 7.8 feet.

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CCSS.2.MD.A.2

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How many ounces are in a pound?

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There are 16 ounces in a pound.

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CCSS.4.MD.A.1

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Convert 40 ounces to pounds.

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40 ounces = 2.5 pounds.

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CCSS.4.MD.A.1

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What is the purpose of using conversion factors in dimensional analysis?

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Conversion factors are used to change units from one measurement system to another while maintaining the same quantity.

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CCSS.6.RP.A.3D

Front

If 1 inch = 2.54 cm, how many centimeters are in 10 inches?

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10 inches = 25.4 cm.

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CCSS.2.MD.A.2

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What is the formula for converting Celsius to Fahrenheit?

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F = (C × 9/5) + 32.

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CCSS.4.MD.A.1

CCSS.5.MD.A.1