Exploring Terminating and Repeating Decimals

This video tutorial covers the concepts of terminating and repeating decimals. It explains how to convert fractions into decimals and vice versa, using division and multiplication to adjust denominators. The tutorial also discusses how to identify repeating decimals and provides examples of both terminating and repeating decimals. Additionally, it demonstrates how to reduce fractions and convert decimals back into fractions.

What does it mean if a decimal is terminating?

• The decimal goes on forever.

• The decimal ends.

• The decimal repeats a pattern.

• The decimal is irrational.

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Which of the following is a repeating decimal?

• 0.333...

• 0.75

• 0.5

• 0.25

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

How can you convert a fraction to a decimal if the denominator is not a power of 10?

• Multiply the numerator and denominator by 10.

• Add zeros to the numerator.

• Divide the numerator by the denominator.

• Subtract the numerator from the denominator.

What is the decimal representation of 3/4?

• 0.75

• 0.5

• 0.25

• 0.33

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What is the decimal representation of 7/9?

• 0.777...

• 0.7

• 0.75

• 0.8

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How do you write 0.23 as a fraction?

• 23/10

• 23/100

• 23/1000

• 2/3

What is the reduced form of the fraction 55/100?

• 5/10

• 11/20

• 1/2

• 11/10

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CCSS.4.NF.C.6

What is the fraction representation of 0.15?

• 3/20

• 15/100

• 15/10

• 1/5

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CCSS.3.NF.A.3B

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If a guppy fish represents 25/100 of the total, what is its reduced fraction?

• 1/5

• 1/4

• 1/10

• 1/2

What is the reduced fraction for an angelfish if it represents 4/10 of the total?

• 1/5

• 1/4

• 1/2

• 2/5