Practice 1 Understanding Tenths Decimals

(1)

1 © M arshal l Ca vendish In terna tional (Singapor e) Priv at e Limit ed. Lesson 7.1 Understanding Tenths

Practice 1 Understanding Tenths

Shade the squares to represent each decimal. Each square represents 1 whole.

Decimals

Example

Write a decimal for each place-value chart.

4. _Ones _Tenths 5. _Ones _Tenths

6. _Ones _Tenths 7. Ones Tenths C

h

ap

t

er 2. 0.6 0.3 1. 3. 1.8 1.5

(2)

Write the correct decimal in each box. 8.

1.0

0 2.0 3.0

Mark ✘ to show where each decimal is located on the number line. Label its value.

9. 1.6 10. 1.8 11. 2.4

1.0

0 2.0 3.0

Write each of these as a decimal.

12. 9 tenths 5 13. 13 tenths 5

14. 26 tenths 5 15. 9 ones and 3 tenths 5

Write each fraction or mixed number as a decimal.

16. ₁₀7 5 17. 2₁₀3 5

18. 41₁₀ 5 19. 109₁₀ 5

Write each decimal in tenths.

20. 0.3 5 tenths 21. 5.7 5 tenths

22. 26.1 5 tenths 23. 48.9 5 tenths

0.4

0.9

(3)

3 © M arshal l Ca vendish In terna tional (Singapor e) Priv at e Limit ed. Lesson 7.1 Understanding Tenths

Write a fraction and decimal for each measure.

24.

Length of screw 5 cm Amount of water 5 L

5 cm 5 L

Write a mixed number and decimal for each measure.

25. 26. Length of nail 5 cm 5 cm Amount of water 5 L 5 L Example

0.7

7 10

(4)

Fill in the blanks.

27. 3.4 5 3 ones and tenths

28. 5.8 5 ones and 8 tenths

29. 22.1 5 2 tens 2 ones and tenth

30. 36.7 5 tens 6 ones and 7 tenths

You can write 15.2 in expanded form as 10 + 5 + ₁₀2. Complete in the same way.

31. 4.5 5 1 32. 23.7 5 1 1

You can write 14.3 in expanded form as 10 + 4 + 0.3. Complete in the same way.

33. 6.9 5 1

34. 35.4 5 1 1

35. _Tens _Ones _Tenths

3 4 6

The digit 6 is in the place. Its value is .

36. _Tens _Ones _Tenths

(5)

5 © M arshal l Ca vendish In terna tional (Singapor e) Priv at e Limit ed.

Practice 2 Understanding Hundredths

Shade the squares to represent each decimal. Each large square represents 1 whole.

Example

Write a decimal for each place-value chart.

4. _Ones _{Tenths Hundredths} 5.

Ones Tenths Hundredths

6. _{Ones Tenths Hundredths} 7.

1.

3.

Lesson7.2 Understanding Hundredths

0.06 0.55

2.

(6)

Write the correct decimal in each box. 8.

0.1

0 0.2 0.3

9. 0.14 10. 0.22 11. 0.27

0.1

0 0.2 0.3

Write each of these as a decimal.

12. 9 hundredths 5

13. 23 hundredths 5

14. 6 tenths 1 hundredth 5

15. 7 ones and 90 hundredths 5

Write each fraction as a decimal.

16. ₁₀₀5 5 17. ₁₀₀19 5

18. ₁₀₀83 5 19. ₁₀₀70 5

20. 3₁₀₀17 5 21. 18₁₀₀9 5

0.02

(7)

22. 233₁₀₀ 5 23. 104₁₀₀ 5

Write each decimal in hundredths.

24. 0.07 5 hundredths 25. 2.31 5 hundredths

26. 1.83 5 hundredths 27. 5.09 5 hundredths

28. 0.38 5 tenths 8 hundredths

29. 2.71 5 2 ones and 7 tenths hundredth

30. 5.09 5 5 ones and hundredths

31. 8.86 5 8 ones and 8 tenths hundredths

You can write 6.13 in expanded form as 6 + ₁₀1 + ₁₀₀3 . Complete in the same way.

32. 5.24 5 1 1

33. 8.96 5 1 1

(8)

You can write 7.45 in expanded form as 7 + 0.4 + 0.05. Complete in the same way.

34. 4.31 5 1 1

35. 9.57 5 1 1

36. In 0.38, the digit 8 is in the place.

37. In 12.67, the digit in the tenths place is .

38. In 3.45, the value of the digit 5 is .

39. In 5.02, the value of the digit 2 is hundredths.

Write each amount in decimal form.

40. 75 cents 5 $

41. 40 cents 5 $

42. 5 cents 5 $

43. 130 cents 5 $

44. 10 dollars and 25 cents 5 $

45. 28 dollars 5 $

(9)

9 © M arshal l Ca vendish In terna tional (Singapor e) Priv at e Limit ed. Lesson 7.3 Comparing Decimals

Practice 3 Comparing Decimals

Use the number line. Find the number that is described.

0.1

0 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

1. 0.1 more than 0.2. 2. 0.3 more than 0.5.

3. 0.1 less than 0.6. 4. 0.2 less than 0.9.

Use the number line. Find the number that is described.

0.11

0.1 0.12 0.13 0.14 0.15 0.16 0.17 0.18 0.19 0.2

5. 0.01 more than 0.13. 6. 0.04 more than 0.16.

7. 0.01 less than 0.18. 8. 0.05 less than 0.17.

Fill in the missing numbers.

9. 10.

Number 0.1 More Than the Number 0.1 Less Than the Number 4.7

2.05

11. 12.

Number 0.01 More Than the Number 0.01 Less Than the Number 0.94

(10)

Complete the number patterns. Use the number line to help you.

0.5 0 1.0 1.5 2.0 13. 0.2 0.4 0.6 14. 1.1 0.9 0.7 15. 0.1 0.4 1.0 16. 2.0 0.8 0.4

Continue the number patterns. 17. 0.03 0.06 0.09 0.03 0.06 0.09 18. 0.24 0.16 0.20 0.24 0.20 0.16

(11)

11 © M arshal l Ca vendish In terna tional (Singapor e) Priv at e Limit ed. Lesson 7.3 Comparing Decimals

Practice 4 Comparing Decimals

Compare the two decimals in each table. Then fill in the blanks.

1. _Ones _{Tenths Hundredths}

0 8 2

0 8

is greater than .

0 3

0 2 5

is less than .

3 0 9 3 1 is less than . Example is greater than .

0.4

0.38

0 4

(12)

Fill in the blanks with greater than, less than, or equal to.

8. 3.7 is 0.37.

9. 0.15 is 0.51.

10. 0.20 is 2.05.

11. 2.3 is 2.30.

Circle the greatest decimal and underline the least.

12. 0.5 0.53 0.03 13. 8.7 8.07 8.71

14. 1.03 1.3 0.13 15. 2.35 2.05 3.25

Write the decimals in order from least to greatest.

16. 3.33 3.03 3.30

17. 5.51 5.05 5.15

18. 1.04 0.41 4.10

(13)

Lesson 7.4 Rounding Decimals

Practice 5 Rounding Decimals

Fill in the missing number in each box.

Then round each decimal to the nearest whole number.

1.

36 35.3

35.3 rounded to the nearest whole number is .

2.

26 25.45

3.

46

46.56

Example

12

12.6

₁₃

(14)

Round each measure. 4.

80.5 cm

Round the height of the table to the nearest centimeter.

centimeters is about centimeters.

5.

Round the price of the shampoo to the nearest dollar.

$ is about $ .

6.

Round the amount of detergent to the nearest liter.

liters is about liters.

7.

10.3 m

Round the length of the rope to the nearest meter.

(15)

Lesson 7.4 Rounding Decimals

Practice 6 Rounding Decimals

Fill in the missing number in each box.

Then round each decimal to the nearest tenth.

1.

11.1

11.15

11.15 rounded to the nearest tenth is .

2.

0.9

0.96

3.

7.53

Example

8.2 8.14

8.1

(16)

Round each measure.

4. Ryan’s mass is 44.69 kilograms.

Round his mass to the nearest tenth of a kilogram.

kilograms is about kilograms.

5. Susan’s height is 1.72 meters.

Round her height to the nearest tenth of a meter.

meters is about meters.

6. The distance between Chong’s home and his school is 5.95 miles.

Round the distance to the nearest tenth of a mile.

miles is about miles.

7. 1 inch is equal to 2.54 centimeters.

Round 2.54 to the nearest tenth of a centimeter.

centimeters is about centimeters.

8. 1 pound is approximately equal to 0.45 kilogram.

Round 0.45 to the nearest tenth of a kilogram.

kilogram is about kilogram.

Round each decimal to the nearest whole number and the nearest tenth.

9. 10. 11.

Decimal _{Whole Number}Rounded to the Nearest_Tenth

3.49 5.65 4.13

(17)

Lesson 7.5 Fractions and Decimals

Practice 7 Fractions and Decimals

Write each fraction as a decimal.

Example 2. ₁₀₀3 5 3. ₁₀₀51 5 9 10 5 1. 107 5 5. 5₂ 6. 5₄ 7. ₂₀7 8. ₂₅2

Express each fraction as a decimal. Hint: Make the denominator 10 or 100.

Example 2 5

=

4. 1₂ 4 10

0.4

0.9

(18)

Write each mixed number as a decimal.

9. 3₁₀5 10. 6₁₀₀43

11. 83₅ 12. 10₂₀3

Write each decimal as a fraction or mixed number in simplest form.

13. 0.3 14. 0.5

15. 5.2 16. 0.25

(19)

1. 1.2

0 0.4 0.8

2. 0.12

0 0.03 0.06

Write any decimal that is

3. greater than 2 but less than 2.1.

4. greater than 1.1 but less than 1.2.

Round 9.95 to

5. the nearest whole number.

6. the nearest tenth.

(20)

The decimals in each exercise follow a pattern. Write the two missing decimals in each pattern.

1. 0.01 0.14 0.4 0.66 2. 1.21 1.42 1.84 2.05 3. 0.48 0.39 0.21 0.12 4. 2.76 2.62 2.34 2.06 5. 0.01 0.02 0.04 0.07 0.11 6. 2.95 2.85 2.65 2.35 1.95 7. 0.38 0.4 0.36 0.38 0.34 8. 3.14 2.84 2.54 2.94 3.34 3.04

Practice 1 Understanding Tenths Decimals