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Learning Target: Students will learn how to write decimals as fractions.

Sec. 5.7

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Page 1: Sec. 5.7

Learning Target:Students will learn how to write

decimals as fractions.

Page 2: Sec. 5.7

How do you read the following decimals.

0.10.01

0.001

Page 3: Sec. 5.7

How do you read the following decimals.

0.1 – one tenth0.01 – one hundredth

0.001 – one thousandths

Page 4: Sec. 5.7

Why is this important when it comes to writing decimals as fractions?

Page 5: Sec. 5.7

Why is this important when it comes to writing decimals as fractions?

A: The place value tells you the denominator of your fraction.

Page 6: Sec. 5.7

This shows how a decimal place value can help you write the decimal as a

fraction.

0.1 – one tenth = 1/100.01 – one hundredth = 1/100

0.001 – one thousandths = 1/1,000

Page 7: Sec. 5.7

Write the decimal as a fraction in simplest form.

0.40.18

0.125

Page 8: Sec. 5.7

Write the decimal as a fraction in simplest form.

0.4 = 4/10 = 2/50.18 = 18/100 = 9/50

0.125 = 125/1,000 = 1/8

Page 9: Sec. 5.7

How do you read 10.5?

What are the different parts of the number?

Page 10: Sec. 5.7

How do you read 10.5?Ten and five tenths.

What are the different parts of the number?

10 wholes and five tenths

Page 11: Sec. 5.7

Write the decimal as a mixed number.

2.73.821.75

Page 12: Sec. 5.7

Write the decimal as a mixed number.

2.7 = 2 7/103.82 = 3 82/100 = 3 41/50

1.75 = 1 75/100 = 1 3/4

Page 13: Sec. 5.7

How do you read 0.03?

How do you read 0.405?

Page 14: Sec. 5.7

How do you read 0.03?Three hundredths

How do you read 0.405?Four hundred five thousandths

Page 15: Sec. 5.7

How do zeros effect the problem?

A: Don’t worry about the zeros. Just read the number like normal and put

the number over the place value of the decimal.

Page 16: Sec. 5.7

Write a decimal with zeros.

0.032.0051.025

Page 17: Sec. 5.7

Write a decimal with zeros.

0.03 = 3/1002.005 = 2 5/1000 = 2 1/2001.025 = 1 25/1000 = 1 1/40

Page 18: Sec. 5.7

Can you write decimals as fractions?