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Learning Goal

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Express a fraction with denominator 10 as an equivalent fraction with denominator 100

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4.NF.C.5

**4.NF.C.5**: Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. *For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.*

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4.NF.C.5: Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.

What you'll learn

  1. Express a fraction with denominator 10 as an equivalent fraction with denominator 100 by multiplying both the numerator and the denominator by 10
  2. Explain why multiplying the numerator and denominator by 10 produces an equivalent fraction, using a 10x10 grid model as justification
  3. Add two fractions where one has denominator 10 and the other has denominator 100 by first converting the tenths fraction to hundredths, then adding like denominators
  4. Represent tenths and hundredths on a 10x10 grid and use the grid to verify addition results
  5. Apply the tenths-to-hundredths conversion in money and measurement contexts (dimes/pennies, meters/centimeters)

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1

Tenths hundredths

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