Dimensional Analysis

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What is dimensional analysis?

Back

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

Tags

CCSS.6.RP.A.3D

Front

What is a conversion factor?

Back

A conversion factor is a numerical factor used to multiply or divide a quantity when converting from one unit to another.

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CCSS.5.MD.A.1

Front

How many grams are in 1 kilogram?

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1 kilogram = 1000 grams.

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CCSS.4.MD.A.1

Front

How many pounds are in 1 kilogram?

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1 kilogram ≈ 2.20462 pounds.

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CCSS.2.MD.A.2

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Convert 60 inches to feet using the conversion factor 12 inches = 1 foot.

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60 inches = 5 feet.

Tags

CCSS.5.MD.A.1

Front

Convert 2.5 grams to milligrams using the conversion factor 1000 mg = 1 g.

Back

2.5 grams = 2500 mg.

Tags

CCSS.6.RP.A.3D

Front

If 1 pound = 454 grams, how many kilograms are in 173 pounds?

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173 pounds = 78.5 kg.

Tags

CCSS.5.MD.A.1

Front

What is the purpose of dimensional analysis in problem-solving?

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Dimensional analysis helps verify the correctness of equations and ensures that the units are consistent throughout calculations.

Front

How do you set up a dimensional analysis problem?

Back

Identify the given quantity, determine the desired unit, and use conversion factors to create a chain of equalities.

Tags

CCSS.7.EE.B.3

Front

What is the relationship between inches and feet?

Back

12 inches = 1 foot.

Tags

CCSS.4.MD.A.1