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METRIC Conversions

METRIC Conversions . CONVERSIONS. Changing your measure from one unit to another. Let’s first think about our Base 10 number system. Now let’s make a connection to our metric system of measurement.

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METRIC Conversions

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  1. METRIC Conversions

  2. CONVERSIONS • Changing your measure from one unit to another

  3. Let’s first think about our Base 10 number system

  4. Now let’s make a connection to our metric system of measurement

  5. We can see that the POWERS are IN the PREFIXES,so the values will remain the same whether the prefix is attached to meter, gram or liter

  6. Method 1Using your “measure sense” and Powers of 10 3 questions to ask: Am I converting to a ‘bigger’ or a ‘smaller’ unit of measure? Does that mean my number will have to increase or decrease? (more of a smaller unit vs less of a larger unit) By how many powers of 10 will I increase or decrease?

  7. Example- Complete the conversion:13 m = ____ cm 3 questions to ask: Am I converting to a ‘bigger’ or a ‘smaller’ unit of measure? SMALLER Does that mean my number will have to increase or decrease? (more of a smaller unit vs less of a larger unit) INCREASE By how many powers of 10 will I increase or decrease? m = 100 to cm = 10-2 2 powers of 10

  8. Example: Convert 13 m to ___ cm 13 increased by 2 powers of 10 13 X 100 = 1300 13 m = 1300 cm

  9. Let’s try another (Watch the decimal point): 7.4 mm = ____ m 3 questions to ask: Am I converting to a ‘bigger’ or a ‘smaller’ unit of measure? BIGGER Does that mean my number will have to increase or decrease? (more of a smaller unit vs less of a larger unit) DECREASE By how many powers of 10 will I increase or decrease? mm = 10-3 to m = 100 3 powers of 10

  10. Ex: Convert 7.4 mm to ___m 7.4 decreased by 3 powers of 10 7.4 ÷ 1000 = 0.0074 7.4 mm = 0.0074 m

  11. Now for some practicedon’t forget to think about the 3 questions: Am I converting to a ‘bigger’ or ‘smaller’ unit of measure? Will that mean my number will have to ‘increase’ or ‘decrease’? By how many powers of 10 will I increase or decrease? ­­_____ 4.5 mm = ? cm 4.5 mm = 0.45 cm ? m = 3,200 cm 32 m = 3,200 cm 9.1 km = ? m 9.1 km = 9100 m ? km = 500,000 cm 5 km = 500,000 cm

  12. Method 2Using your “unit conversions” You must be sure to know the following ‘standard conversions’ by memory: 1 m = 100 cm 1 m = 1000 mm 1 cm = 10 mm 1 km = 1000 m

  13. It would work like this: Example- Complete the conversion:13 m = ____ cm 13 m = ____ cm 1 m = 100 cm

  14. 13 m (x 100)= ____ cm 1 m (x 100) = 100 cm If I multiply 1 m x 100 to get 100 cm, Then I have to multiply 13 m x 100 to get my conversion. 13 m = 1300 cm

  15. Now go back and use this method on some of our earlier examples: 4.5 mm = ? cm 4.5 mm = 0.45 cm ? m = 3,200 cm 32 m = 3,200 cm 9.1 km = ? m 9.1 km = 9100 m ? km = 500,000 cm 5 km = 500,000 cm

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