Converting Unit Fractions to Repeating Decimals

This lesson teaches how to convert unit fractions into repeating decimals using the standard division algorithm. It covers the concept of rational numbers, explains the difference between terminating and repeating decimals, and provides step-by-step examples of converting 1/3 and 1/6 into decimals. The lesson also discusses the notation for repeating decimals, using a bar to indicate the repeating part.

What is a rational number?

• A number that cannot be written as a fraction

• A number that can be written as a fraction with a non-zero denominator

• A number that is always an integer

• A number that is always a decimal

Which of the following is a unit fraction?

• 2/3

• 3/4

• 5/6

• 1/5

What is a terminating decimal?

• A decimal that is always greater than 1

• A decimal that cannot be converted to a fraction

• A decimal that has a finite number of digits

• A decimal that repeats indefinitely

How do you convert 1/3 to a decimal?

• By multiplying by 3

• By using the standard division algorithm

• By adding 0.3 repeatedly

• By subtracting 0.1 from 1

What is the decimal form of 1/6?

• 0.5

• 0.16

• 0.6

• 0.16666...

How is a repeating decimal indicated?

• By putting a bar over the repeating part

• By underlining the repeating part

• By using parentheses

• By writing it in bold

Which of the following fractions has a repeating decimal with six different digits?

• 1/3

• 1/6

• 1/7

• 1/9