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Dimensional Analysis

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**A method to convert from one unit of measure to another, using conversion factors.**

Example Problem: How many centimeters are in 4.6 kilometers? Add anything in BLUE writing on the back of the foldable flap Dimensional Analysis

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**STEP 1 Write down what you know, with units! What I know:**

4.6km What I am looking for: cm FRONT of Flap: Write down what you know, with units. STEP 1 BACK of Flap: What I know: 4.6 km What I am looking for: cm STEP 1

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Set up a T-chart 4.6km STEP 2

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**Fill in the units first, making sure that the given units cancel out.**

4.6km m km STEP 3

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**STEP 4 100 cm 1 m = Add your key conversion factor into your T- chart.**

Multiply across the top, divide by the bottom **If necessary, continue steps 3 and 4 until you reach your desired answer. 4.6km 1000 m 1 km 100 cm 1 m (4.6*1000*100) (1*1) = = 460,000cm But I’m looking for centimeters! STEP 4

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**Key Conversion Factors**

1cm = 10mm 1m = 100cm 1m = 1000mm 1 km = 1000m *The base units (meters) can be changed to other units (grams, liters, etc). Key Conversion Factors

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**Try These Convert 13 cm to m. Convert 1.7m to mm. Convert 16 cm to mm.**

Convert 1987 km to m. Convert 98 m to cm Convert mm to m. Convert 189 mm to cm. Try These

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Notes Over 2.6 Metric Measurements The following chart can be used to convert from one metric unit to another. Example kilohectodekaBASEdecicentimilli.

Notes Over 2.6 Metric Measurements The following chart can be used to convert from one metric unit to another. Example kilohectodekaBASEdecicentimilli.

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