Terminating and Repeating Decimals Explained

The video tutorial covers the concepts of terminating and repeating decimals, explaining how they relate to rational numbers. It distinguishes between rational and irrational numbers, using pi as an example of the latter. The tutorial demonstrates converting fractions to decimals, including negative fractions and mixed numbers, and explains how to represent repeating decimals using bar notation. It concludes with a practical example of calculating a free throw average and rounding it to the nearest thousandth.

What is a rational number?

• A number that cannot be written as a fraction

• A number that can be written or rewritten as a fraction

• A number that always ends

• A number that always repeats

Which of the following is an example of a terminating decimal?

• 0.777...

• 3.141...

• 0.125

• 0.666...

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CCSS.7.NS.A.2D

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What is the bar notation used for?

• To indicate a whole number

• To indicate an irrational number

• To indicate a terminating decimal

• To indicate a repeating decimal

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CCSS.7.NS.A.2D

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Why is pi considered an irrational number?

• Because it goes on forever without repeating

• Because it repeats in a pattern

• Because it can be written as a fraction

• Because it ends after a few digits

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CCSS.8.NS.A.1

How would you write 5/12 as a decimal?

• 0.417

• 0.42

• 0.4166...

• 0.416

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CCSS.7.NS.A.2D

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What is the repeating decimal for 2/9?

• 0.2222...

• 0.22

• 0.222...

• 0.2

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CCSS.7.NS.A.2D

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

• -2.666...

• -2.66...

• -2.6

• -2.3

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CCSS.7.NS.A.2D

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What is the first step in converting a mixed number to a decimal?

• Multiply the whole number by the fraction

• Add the whole number to the fraction

• Convert the fraction part to a decimal

• Divide the whole number by the fraction

How do you round 0.7727 to the nearest thousandth?

• 0.774

• 0.772

• 0.773

• 0.771

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CCSS.5.NBT.A.4

What is Frankie’s free throw average rounded to the nearest thousandth?

• 0.773

• 0.775

• 0.774

• 0.772

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CCSS.5.NBT.A.4