Converting Repeating Decimals to Fractions

Miss Etheridge introduces repeating decimals, explaining their nature and how to convert them into fractions. She provides a detailed mathematical explanation and a shortcut method for conversion. The lesson also covers handling decimals with non-repeating digits. Students are encouraged to take notes and refer to their textbooks for additional examples.

What is the date mentioned for the journal entry on repeating decimals?

• September 29th, 2020

• October 2nd, 2020

• September 28th, 2020

• October 1st, 2020

What is the first step in converting 0.7 repeating to a fraction?

• Subtracting 0.7 from both sides

• Multiplying both sides by 10

• Dividing both sides by 7

• Adding 0.7 to both sides

After multiplying both sides by 10, what equation do we get for 0.7 repeating?

• 10x = 0.7

• 10x = 0.77

• 10x = 7.0

• 10x = 7.7

What is the fraction form of 0.7 repeating?

• 7/11

• 7/9

• 7/10

• 7/8

In the shortcut method, what is the denominator for 0.4 repeating?

• 10

• 9

• 1

• 4

How do you write 0.37 repeating as a fraction using the shortcut method?

• 37/9

• 37/100

• 37/99

• 37/10

What is the fraction form of 2.3 repeating?

• 2 and 3/9

• 2 and 1/3

• 2 and 3/10

• 2 and 1/9

When converting 0.32 repeating (only 2 repeats), what is the numerator?

• 32

• 31

• 29

• 30

For 0.475 repeating (only 5 repeats), what is the denominator?

• 900

• 990

• 1000

• 999

What is the fraction form of 0.416 repeating (only 6 repeats)?

• 375/990

• 375/1000

• 375/999

• 375/900