Exploring Terminating and Repeating Decimals

The video tutorial explains how to determine if the decimal version of a fraction terminates or repeats. It covers the process of converting fractions to decimals using division, either manually or with a calculator. The tutorial defines terminating and repeating decimals, provides examples, and offers practice exercises. It also explores patterns in decimals and encourages students to identify similarities between fractions that result in terminating or repeating decimals.

What is the first step in converting a fraction to a decimal?

• Divide the numerator by the denominator

• Multiply the numerator by the denominator

• Subtract the denominator from the numerator

• Add the numerator and the denominator

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What does it mean for a decimal to be terminating?

• It is an irrational number

• It repeats a pattern forever

• It ends after a finite number of digits

• It has a non-repeating pattern

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

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

• 0.75

• 0.333...

• 0.5

• 0.25

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What is the decimal value of 1/4?

• 0.333...

• 0.75

• 0.5

• 0.25

When performing long division to convert 1/8 to a decimal, what is the first digit after the decimal point?

• 4

• 1

• 2

• 3

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What is the decimal value of 3/8?

• 0.125

• 0.5

• 0.25

• 0.375

Using a calculator, what is the repeating decimal for 1/6?

• 0.16

• 0.166...

• 0.17

• 0.167

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What is the decimal value of 2/6?

• 0.4

• 0.2

• 0.3

• 0.333...

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Which of the following fractions has a terminating decimal?

• 1/3

• 1/4

• 1/6

• 1/7

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What is the decimal value of 3/6 in simplest form?

• 0.6

• 0.5

• 0.333...

• 0.3