Converting Fractions to Decimals Using Long Division


Exploration

GR. 6-8

Skill:

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

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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.

Question ouverte 1

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

Entrée de texte et de données mathématiques

Question ouverte 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?

Entrée de texte et de données mathématiques

Question ouverte 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?

Entrée de texte et de données mathématiques

Question ouverte 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?

Entrée de texte et de données mathématiques