Understanding Repeating Decimals

In this video, Mr. J explains how to convert the fraction 1/6 into a decimal. The process involves dividing the numerator by the denominator, resulting in a repeating decimal. Mr. J demonstrates the division step-by-step, showing how to handle repeating decimals by placing a bar over the repeating digit. He also discusses rounding the decimal to different places for approximation. The video concludes with a summary of the methods for converting fractions to decimals.

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

• Subtract the denominator from the numerator

• Divide the numerator by the denominator

• Multiply the numerator by the denominator

• Add the numerator and the denominator

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CCSS.5.NBT.B.6

CCSS.6.NS.B.2

When dividing 1 by 6, what do you do when you can't divide the numerator by the denominator?

• Add a zero to the numerator

• Multiply the numerator by 10

• Add a decimal and a zero

• Subtract the denominator from the numerator

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What is the result of dividing 1 by 6 in terms of repeating decimals?

• 0.166 with a repeating 1

• 0.16 with a repeating 1

• 0.166 with a repeating 6

• 0.16 with a repeating 6

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

How do you denote a repeating decimal?

• With a star above the repeating digit

• With a bar above the repeating digit

• With a dot above the repeating digit

• With a slash above the repeating digit

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What is the repeating digit in the decimal representation of 1/6?

• 1

• 6

• 0

• None

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CCSS.5.NBT.A.4

What is the approximate value of 1/6 when rounded to the tenths place?

• 0.2

• 0.1

• 0.16

• 0.17

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CCSS.5.NBT.A.4

What is the approximate value of 1/6 when rounded to the hundredths place?

• 0.17

• 0.16

• 0.18

• 0.19

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Which of the following is a method to express repeating decimals?

• Using a star above the repeating digit

• Using a dot above the repeating digit

• Using a bar above the repeating digit

• Using a slash above the repeating digit

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What is another option besides using a bar to express repeating decimals?

• Using a slash notation

• Using a star notation

• Using a dot notation

• Rounding to a specific place

What is the purpose of rounding a repeating decimal?

• To make it exact

• To change its value

• To simplify calculations

• To make it longer