# Converting Fractions to Decimals Using Long Division

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Exploration

GR. 6-8

Skill:

Convert fractions and terminating decimals to the thousandths place to equivalent forms without models; explain the equivalence.

# Converting Fractions to Decimals Using Long Division

Convert fractions to decimals using long division in this activity.

### Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

### Open-ended question 1

How does the number of boxes clicked inside the long division sign relate to the place values of the converted decimal?

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### Open-ended question 2

Think about how a number with one digit to the right of the decimal (like 0.3) converts back to a fraction. How many zeros would appear in the denominator of that fraction?

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### Open-ended question 3

Think about how a number with two digits to the right of the decimal (like 0.31) converts back into a fraction. How many zeros would appear in the denominator of that fraction?

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### Open-ended question 4

Think about how a number with three digits to the right of the decimal (like 0.317) converts back into a fraction. How many zeros would appear in the denominator of that fraction?

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