Converting Fractions to Repeating Decimals

This video tutorial explains how to convert fractions into repeating decimals and how to represent them using visual aids. It addresses common misunderstandings about the repetend bar and uses a practical investment problem to illustrate the concept of repeating decimals. The tutorial also covers the mathematical notation for repeating decimals and explains why certain fractions result in repeating decimals. The lesson concludes with a summary of the key points covered.

What is the decimal representation of 1/5?

• 0.2

• 0.5

• 0.25

• 0.1

Which digit repeats in the decimal representation of 1/6?

• 6

• 1

• None

• Both 1 and 6

How much does each investor earn for every dollar made in the example?

• $0.36

• $0.35

• $0.33

• $0.30

What is the repeating decimal representation of 1/3?

• 0.3

• 0.33

• 0.333

• 0.3333

What is the term for the bar placed over repeating digits in a decimal?

• Repeater

• Decimal Bar

• Repetend

• Fraction Bar

What is the decimal representation of 1/6?

• 0.16666

• 0.1666

• 0.166

• 0.16

Why are fractions with denominators not factors of 10 repeating decimals?

• Because they are whole numbers

• Because they have a remainder

• Because they can be divided evenly

• Because they are terminating