Converting Repeating Decimals to Fractions

Converting Repeating Decimals to Fractions

Assessment

Interactive Video

Mathematics

6th - 7th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains rational numbers and their representation as decimals, focusing on repeating decimals. It covers how to convert repeating decimals into fractions using bar notation and provides several examples to illustrate the process. The tutorial also discusses patterns in repeating decimals and how to handle mixed numbers.

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13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a rational number?

A number that can be written as a fraction

A number that is always a decimal

A number that cannot be written as a fraction

A number that is always an integer

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is a repeating decimal typically represented?

With a circle over the repeating digit

With a dot over the repeating digit

With a bar over the repeating digit

With a star over the repeating digit

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in converting 0.1 repeating to a fraction?

Subtract 1 from the decimal

Multiply by 100

Add 1 to the decimal

Multiply by 10

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What fraction does 0.1 repeating convert to?

1/10

1/8

1/9

1/11

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When converting 0.02 repeating to a fraction, what do you multiply by?

10

100

1

1000

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What fraction does 0.02 repeating convert to?

2/9

2/11

2/10

2/8

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the pattern observed when converting 0.3 repeating to a fraction?

The repeating digit is the numerator over 8

The repeating digit is the numerator over 9

The repeating digit is the numerator over 10

The repeating digit is the numerator over 11

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