1.51.5Name Place ValuePlace Value

with Decimalswith DecimalsLearning Target:Learning Target: Write decimals in different Write decimals in different forms and compare the values of digits.forms and compare the values of digits.Success Criteria:Success Criteria: • I can identify the value of a digit in a decimal.• I can identify the value of a digit in a decimal.• I can write decimals in different forms.• I can write decimals in different forms.• I can compare the values of two identical digits in• I can compare the values of two identical digits in

a decimal.a decimal.

Explore and Grow

Chapter 1 ⎜ Lesson 5 27

Model the number. Draw your model.Then write the value of each digit.

Repeated Reasoning Compare the value of the ones digit to the value of the tenths digit. Then do the same with the tenths and the hundredths digits. Explain why you can use base ten blocks to model ones, tenths, and hundredths.

3.33

Ones . Tenths Hundredths

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Think and Grow: Understand Multiplicative ComparisonThink and Grow: Place Value with Decimals

28

The number 5.469 is read as “five and four hundred sixty-nine thousandths.”

Ones Period Decimals

Hundreds Tens Ones . Tenths Hundredths Thousandths

55 .. 44 66 99

5 ones5 ones 4 tenths4 tenths 6 hundredths6 hundredths 9 thousandths9 thousandths

55 0.40.4 0.060.06 0.0090.009

Ones Period Decimals

Hundreds Tens Ones . Tenths Hundredths Thousandths

22 .. 55 55 77

Write the number in two other forms.

3. 3. Compare the values of the 5s in the number 2.557.

Show and GrowShow and GrowSShhhhhhhoowwwwwwww aannnddddddd GGGGGrrrrrroowwwwwwSSSSSSSShhhhhhhhoooooooowwwwwwww aaaaaaannnnnnnndddddddd GGGGGGGGrrrrrrrroooooooowwwwwwwwShow and GrowShow and Grow

1. 1. Standard form: 0.398

Word form:

Expanded form:

2. 2. Standard form:

Word form: eight and forty-six thousandths

Expanded form:

hs.””

Use the place value of the last digit in a decimal

to help you read it.

Key Idea In a place value chart, whole numbers are to the left of thedecimal point. Decimals are to the right of the decimal point.

Example Write the number in standard form, word form, and expanded form.

Standard form:

Word form:

Expanded form: 2 × 1 + × + 5 × 1 —

100 + ×

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29Chapter 1 ⎜ Lesson 5

Name

Apply and Grow: Practice

Write the value of the underlined digit.

Write the number in two other forms.

8. 8. Standard form:

Word form:

Expanded form: 4 × 1 + 9 × 1

— 10

+ 8 × 1 —

1,000

4. 4. 0.418 5. 5. 5.296 6. 6. 3.806 7. 7. 0.547

10. 10. Compare the values of the 4s in the number 0.844.

12. 12. A pygmy jerboa weighs one hundred thirty-two thousandthspound. Write this number in standard form.

13. 13. Reasoning Is 9.540 equivalent to9.54? Explain.

11. 11. Compare the values of the 3s in the number 3.367.

14. 14. DIG DEEPER Write three decimals

that are equivalent to 6 × 1 + 4 × 1

— 10

.

9. 9. Standard form: 0.125

Word form:

Expanded form:

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Think and Grow: Modeling Real Life

30

Show and GrowShow and GrowSSShhhhhhhoowwwwwww aannnndddddddd GGGGrrrrrrroowwwwwwwSSSSSSSShhhhhhhhoooooooowwwwwwww aaaaaaaannnnnnnndddddddd GGGGGGGGrrrrrrrroooooooowwwwwwwwShow and GrowShow and Grow15. 15. Two baseball players have batting

averages of 0.358 and 0.345. How do the values of the 5s in the batting averages compare?

16. 16. The stopwatch shows a runner’s 100-meter dash time. Write the time in words.

17. 17. DIG DEEPER You exchange 1 U.S. dollarfor Australian dollars and 1 U.S. dollar for Kuwaiti dinars. Do you have 10 times as many Australian dollars as Kuwaiti dinars? Explain.

Heaviest Fruit Records

Fruit Mass (kg)

Tomato 3.906

Chili pepper 0.348

Ones Period Decimals

Hundreds Tens Ones . Tenths Hundredths Thousandths

33 .. 99 00 66

00 .. 33 44 88

33 .. 0.90.9 0.000.00 0.0060.006

00 .. 0.30.3 0.040.04 0.0080.008

The value of the 3 in the mass of the tomato is .

The value of the 3 in the mass of the chili pepper is .

So, the value of the 3 in the mass of the tomato is times the value of the3 in the mass of the chili pepper. Also, the value of the 3 in the mass of the chili

pepper is the value of the 3 in the mass of the tomato.

Recent Foreign Exchange Rates

1 U.S. dollar 1.302 Australian dollars

1 U.S. dollar 0.302 Kuwaiti dinars

Example How do the values of the 3s in the masses ofthe fruits compare?

Use a place value chart to help you find the value of each 3.

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Name 1.51.5Homework

& PracticeLearning Target:Learning Target: Write decimals in Write decimals in different forms and compare the values of digits.different forms and compare the values of digits.

31Chapter 1 ⎜ Lesson 5

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Write the value of the underlined digit.

Write the number in two other forms.

5. 5. Standard form: 9.267

Word form:

Expanded form:

6. 6. Standard form:

Word form: two and forty-three thousandths

Expanded form:

7. 7. Compare the values of the 6s in thenumber 1.668.

8. 8. Compare the values of the 7s in the number 7.704.

1. 1. 5.437 2. 2. 0.852 3. 3. 0.962 4. 4. 4.165

Ones Period Decimals

Hundreds Tens Ones . Tenths Hundredths Thousandths

66 .. 99 22 88

6.928

six and nine hundred twenty-eight thousandths

9 2 8 1

— 10

1 —

100

1 —

1,000

Example Write the number in standard form, word form, andexpanded form.

Standard form:

Word form:

Expanded form: 6 × 1 + × + × + ×

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32

9. 9. A pygmy possum weighs 0.097 pound. Write this numberin word form.

12. 12. Modeling Real Life How do the values of the 5s in the heights of the plants compare?

13. 13. Modeling Real Life The world’s largest gold nugget is located in Las Vegas, Nevada. It has a mass of about 27.247 kilograms. Write how to say the nugget’s mass in words.

10. 10. Which One Doesn’t Belong? Which one does not belong with the other three?

11. 11. Reasoning Which number cards are equal to the value of the underlined digit?

0.732

5 × 1

— 10

+ 1 × 1 —

100 + 4 ×

1 —

1,000 0.514

five and fourteen tenthsOnes . Tenths Hundredths Thousandths

0 . 55 11 44

Classroom Plant Heights

Plant Height (in.)

Peace lily 1.125

Venus flytrap 1.250

Review & RefreshCompare.

14. 14. 8

— 10

80

— 100

15. 15. 5

— 8

3

— 6

16. 16. 7

— 2

10

— 8

2 × 1 —

1,000 2 ×

1 —

100 2 thousand 2.000

2 two thousandths 0.002 2,000

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