Exploring Terminating and Repeating Decimals

This video tutorial covers the concept of rational numbers, explaining how they can be expressed as fractions, decimals, and integers. It introduces bar notation for repeating decimals and distinguishes between terminating and repeating decimals. The tutorial provides step-by-step instructions for converting both positive and negative fractions into decimals, with practical examples and exercises to reinforce learning.

Which of the following is NOT a rational number?

• 0.5

• 1/3

• √2

• 4

What is the purpose of bar notation in repeating decimals?

• To show which digits repeat indefinitely

• To indicate the start of a decimal

• To separate whole numbers from decimals

• To round off decimals

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How would you write 0.454545... using bar notation?

• 0.45̅

• 0.45

• 0.454̅

• 0.4̅5̅

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CCSS.7.NS.A.2D

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Which of the following is a terminating decimal?

• 0.333...

• 0.888...

• 0.75

• 0.666...

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What is the decimal representation of 4/5?

• 0.75

• 0.8

• 0.833...

• 0.85

Convert 5/12 to a decimal. Is it terminating or repeating?

• 0.42, Terminating

• 0.416, Repeating

• 0.416, Terminating

• 0.42, Repeating

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CCSS.7.NS.A.2D

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What is the decimal representation of 1/8?

• 0.13

• 0.12

• 0.1

• 0.125

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How would you write -2/3 as a decimal?

• -0.6

• -0.66

• -0.666...

• -0.67

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CCSS.7.NS.A.2D

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Convert -5/8 to a decimal. Is it terminating or repeating?

• -0.62, Repeating

• -0.62, Terminating

• -0.625, Terminating

• -0.625, Repeating

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CCSS.7.NS.A.2D

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Franki made 24 out of 44 free-throws this season. What is his free-throw average rounded to the nearest thousandth?

• 0.544

• 0.546

• 0.547

• 0.545