Converting Repeating Decimals to Fractions

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.

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

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

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

What fraction does 0.1 repeating convert to?

• 1/10

• 1/8

• 1/9

• 1/11

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

• 10

• 100

• 1

• 1000

What fraction does 0.02 repeating convert to?

• 2/9

• 2/11

• 2/10

• 2/8

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

What fraction does 0.3 repeating convert to?

• 3/8

• 3/11

• 3/9

• 3/10

What is the general pattern for converting repeating decimals to fractions?

• The repeating digit is the numerator over 10

• The repeating digit is the numerator over 9

• The repeating digit is the numerator over 11

• The repeating digit is the numerator over 8

How do you convert 0.21 repeating to a fraction?

• Multiply by 10

• Multiply by 100

• Multiply by 1000

• Multiply by 1