Exploring Terminating and Repeating Decimals

Mr. Richards explains how to convert fractions into decimals, focusing on terminating and repeating decimals. He introduces bar notation for repeating decimals and discusses the decimal system based on powers of 10. The video includes examples of converting fractions and mixed numbers to decimals using division and place value. It also covers converting decimals back to fractions, emphasizing the importance of understanding place value and bar notation.

What is the bar notation for the repeating decimal 0.333...?

• 0.3

• 0.33

• 0.3̅

• 0.33̅

If a decimal has a repeating digit of zero, what type of decimal is it?

• Non-repeating decimal

• Non-terminating decimal

• Terminating decimal

• Repeating decimal

How would you write 19/100 as a decimal?

• 0.019

• 19.0

• 0.19

• 1.9

What is 105/1000 as a decimal?

• 1.05

• 0.105

• 10.5

• 0.0105

How do you convert 3/25 to a decimal?

• 0.125

• 0.75

• 0.3

• 0.12

What is the decimal representation of -6 1/2?

• -6.5

• -6.2

• -6.75

• -6.25

What is the decimal form of 7/8?

• 0.875

• 0.88

• 0.87

• 0.78

Convert 2 1/8 to a decimal.

• 2.012

• 2.1

• 2.0125

• 2.125

What is the fraction form of 0.25?

• 1/2

• 1/4

• 1/5

• 1/10

Simplify the fraction 4/10.

• 4/5

• 1/4

• 1/2

• 2/5