Homework - isd622.org · Unit 6 • Lesson 1 397 Lesson 1 Activity 1 Solve the addition and subtraction problems. Use lined paper turned sideways to help you line up the decimal points

Unit 6 • Lesson 1 397

Lesson 1

Activity 1

Solve the addition and subtraction problems. Use lined paper turned sideways to help you line up the decimal points and the place values.

1. 13.5 + 5.08 2. 16.9 + 12.2

3. 145.03 + 81.9 4. 65.2 − 41.09

5. 78.3 − 21.1 6. 57.89 − 36.71

Activity 2

Write the decimal numbers and fractions in order from least to greatest.

1. 0.005 0.3 12 0.8 3

4

2. 0.95 13 0.29 2

3 0.68

3. 0.1 0.02 89 0.003 1

4

Activity 3

Calculate the areas of the following rectangles and triangles.

1.

8 cm

2 cm

2. 2 cm12 cm

3.5 cm

3 cm

4.4 cm

7 cm

Activity 4 • Distributed Practice

Solve.

1. 38 + 29 2. 17

5 − 125 3. 6

8 · 23

4. 1118 − 21

4 5. 64 ÷ 24 6. 8

9 ÷ 13

Model

345.25

+ 67.40

412.65

Homework

402 Unit 6 • Lesson 2

Lesson 2

Activity 1

Solve the addition and subtraction problems. Use lined paper turned sideways to help line up the decimal points and the place values.

1. 16.25 + 3.47 2. 25.8 + 15.27

3. 146.37 + 248.9 4. 97.8 − 42.09

5. 63.5 − 27.89 6. 79.05 − 38.99

Activity 2

Use the number line to find the closest benchmark for each decimal number. Write the benchmark as a decimal number and a fraction.

1. 0.6 2. 0.79 3. 0.19

4. 0.55 5. 0.3 6. 0.84

Activity 3

Calculate the area of the triangles. Remember, the formula for the area of a triangle is Area = 12 · base · height.

1. height = 2 cm

base = 5 cm

2.

height = 3 cm

base = 10 cm3. height = 1 cm

base = 8 cm


Solve.

1. 47 + 23 2. 9

10 − 720

3. 45 · 34 4. 6

9 ÷ 36

Model 345.25+ 67.40

412.65

0 0.25 0.3 0.50 0.6 0.75 1

0 14

13

12

23

34

1

Homework


Lesson 3

Activity 1

Round to (a) the nearest whole number and (b) the nearest ten.

1. 37.8 2. 69.75 3. 52.36

4. 11.19 5. 45.05 6. 8.26

Activity 2

Round each set of numbers to the nearest whole number and then to the nearest ten. Compute the exact sum. Then compute the sum of each set of rounded numbers.

1. 37.95 + 22.99 + 18.1 2. 36.47 + 38.5 + 22.9

3. 42.87 + 16.05 + 14.1 4. 19.5 + 22.6 + 37.89

Activity 3

Find the area of the triangles. The formula is Area = 12 · base · height. Remember, the altitude is the height.

1.

8 cm

6 cm

2.

2 cm

4 cm

3.

12 cm

5 cm


Solve.

1. 45 · 89 2. 6

7 + 23

3. 89 − 36 4. 8

12 ÷ 16

5. 57 ÷ 17 6. 151

2 + 1734

Model 27.6 (a) 28 (b) 30

Model 37.2 + 41.95 + 50.11 = ?

Rounding to Rounding to Exact Numbers Nearest Whole Nearest Ten

37.2 41.95 + 50.11 129.26

3742

+ 50129

4040

+ 50130

Homework


Lesson 4

Homework

Activity 1

Add and subtract the decimal numbers.

1. 55.19 + 22.9 2. 19.23 + 14.5 + 22.8

3. 227.05 − 99.8 4. 12.33 + 14.9 + 16.8 + 23.09

5. 447.8 − 250.07 6. 33.4 + 22.3 + 44.5 + 99.89

Activity 2

Round each decimal number to the nearest whole number and then to the nearest ten. Compute the sum of each set of numbers.

22.5 17.06 32.25 + 14.9

Activity 3

Find the area of the following parallelograms. Remember the formula is Area = base · height.


Solve.

1. 1725 + 15 2. 10

12 − 23 3. 48 · 56

4. 79 − 13 5. 223

4 − 1515 6. 213

4 ÷ 314

Lesson 4


Lesson 5

Activity 1

Add and subtract the decimal numbers.

1. 5.76 + 8.29 2. 17.3 + 2.78 + 5.7

3. 29.85 + 3.04 + 59.8 4. 17.6 − 9.85

5. 79.02 − 3.2 6. 127.3 − 49.87

Activity 2

Order the decimal numbers from least to greatest.

1. 0.2 0.02 0.22 0.022 0.202

2. 0.5 0.55 0.055 5.5 0.555

3. 0.12 0.02 0.01 0.099 0.012

4. 3.7 0.37 0.307 0.037 0.07

Activity 3

Find the areas of the trapezoids. Remember, the formula is Area = 12 · (base 1 + base 2) · height.

1. 2.


Solve.

1. 376 + 228 2. 479 − 298 3. 576 · 4 4. 20q800

Homework


Lesson 6

Activity 1

Look at the area models for each of the decimal number multiplication problems and tell the answer.

1. 0.50 · 0.40 2. 0.20 · 0.10 3. 0.90 · 0.30

Activity 2

Add or subtract the decimal numbers.

1. 4.25 + 3.22 + 5.78 2. 22.79 − 14.8

3. 17.9 + 22.0 + 32.12 + 44.78 4. 137.09 − 99.8

5. 42.8 + 37.9 + 18.7 + 22.05 + 50.1 + 60.87

Activity 3

Tell the area of each of the following shapes. They have been divided into congruent triangles. The length of the base of each triangle is 4 units and the height is 3 units. Remember, the area formula for a triangle is Area = 12 · base · height.

1. 2. 3. 4.


Solve.

1. 34 + 25 2. 7

8 − 14 3. 134 · 21

3 4. 1710 − 85

Homework


Lesson 7

Activity 1

Round the decimal numbers to the nearest whole number.

1. 65.5 2. 82.4 3. 99.9

4. 126.56 5. 199.99 6. 227.04

Activity 2

Solve the problems using the traditional method for multiplying decimal numbers. Then check the answers with a calculator.

1. 35.8 · 0.6 2. 44.9 · 0.7 3. 63.8 · 0.5

4. 78.2 · 0.3 5. 112.7 · 0.2

Activity 3

Choose the correct answer for the area problems.

1. If a triangle has a base that is 10 units long and an altitude of 4 units, the area is:(a) 40 square units(b) 14 square units(c) 20 square units

2. A parallelogram with a base that is 5 units long and a height of 4 units has an area of:(a) 20 square units (b) 10 square units(c) 9 square units

3. What is the area of the trapezoid?

height = 4 units

8 units

10 units

The formula for the area of a trapezoid is

Area = 12 · (base 1 + base 2) · height

(a) 22 square units(b) 36 square units (c) 320 square units


Solve.

1. 14 · 38 2. 8

9 + 46 3. 18 ÷ 2

16

4. 59 + 36 5. 10

8 − 14 6. 213 · 31

4

Homework


Lesson 8

Activity 1

Select the correct answer to the multiplication problems.

1. 2.3 · 4(a) 0.92(b) 9.2 (c) 0.092

2. 4.7 · 2.0(a) 94.0(b) 9.40 (c) 0.940

3. 5 · 0.23(a) 1.15 (b) 11.5(c) 0.115

4. 0.4 · 12(a) 4.8 (b) 0.48(c) 48.0

Activity 2

Multiply.

1. 30.9 · 3 2. 7.1 · 0.9 3. 4.7 · 8

4. 101.8 · 2 5. 2.9 · 2.1

Activity 3

Add or subtract.

1. 5.3 + 8.9 2. 6.17 + 2.5 + 3 3. 8.9 + 17.8 + 2

4. 17.9 − 2.86 5. 27.52 − 11.9 6. 28.4 − 18.9


Solve.

1. 34 · 89 2. 1

14 ÷ 117 3. 2

9 + 36

4. 89 − 23 5. 123

4 − 514 6. 1

2 · 810

Homework


Lesson 9

Activity 1

Add, subtract, or multiply.

1. 2.5 · 8 2. 2.36 + 4.86

3. 21.37 − 18.9 4. 6.2 · 3

5. 596.3 − 225.11 6. 427.9 + 45.12

7. 22.7 · 5 8. 987.32 − 898.24

Activity 2

Match the names of the parts of a circle with the corresponding letter in the drawing.

1. circumference

2. radius

3. diameter

4. center

Activity 3

Tell the area of each of the shapes. You should know the formulas for the parallelogram, rectangle, and triangle. Here is the formula for the area of a trapezoid: Area = 12 · (base 1 + base 2) · height.

1 2 3 4


Solve.

1. 58 · 39 2. 7

8 + 23 3. 1112 − 14 4. 2

8 ÷ 13

CD

AB

Homework


Lesson 10

Activity 1

Solve the decimal number problems.

1. 225.78 − 43.9 2. 55.8 + 27.9 + 18.23 + 40.7

3. 2.11 · 0.8 4. 7.01 · 0.2

5. 876.34 + 223.05 + 579.7 6. 429.11 − 357.09

Activity 2

Answer each question about circles.

1. If the radius is 2 inches, what is the diameter?

2. If the diameter is 10 inches, what is the radius?

3. If the radius is 5 inches, what is the circumference? Remember the formula for circumference is Circumference = 2 · π · r. (π ≈ 3.14)

4. If the diameter is 10 inches, what is the area? Remember the formula for area is Area = π · r2. (π ≈ 3.14)

Activity 3

Write the names of the parts of a circle. Use the letters to identify the parts.


Solve.

1. 45

+ 23

2. 78

− 34

3. 2734

− 1512

4. 29

· 18 5. 7

9 ÷ 1

3 6. 1

3 ÷ 1

9

B D

AC

Homework


Lesson 11

Activity 1

Solve each decimal number problem.

1. 332.7 − 123.88 2. 23.85 + 78.93 + 56.1 + 19.79

3. 2.64 · 0.5 4. 30.01 · 0.4

5. 332.9 + 128.33 + 786.29 6. 889.4 − 567.99

Activity 2

Divide.

1. 27 ÷ 3 2. 810 ÷ 9

3. 32 ÷ 8 4. 42 ÷ 7

5. 640 ÷ 80 6. 300 ÷ 6

7. 28 ÷ 4 8. 350 ÷ 50

Activity 3

Answer each question about circles.

1. If the radius is 3.5 inches, what is the diameter?

2. If the diameter is 12 inches, what is the radius?

3. If the radius is 2.3 inches, what is the circumference? Remember the formula for circumference is Circumference = 2 · π · r. (π ≈ 3.14)

4. If the diameter is 5.5 inches, what is the area? Remember the formula for area is Area = π · r2. (π ≈ 3.14)


Solve.

1. 48

+ 13

2. 79

− 16

3. 34

− 12

4. 123

· 512

5. 89

÷ 12

6. 48

· 37

Homework


Lesson 12

Activity 1

Solve the division problems using paper and pencil. Be careful to write the decimal point in the correct place. Use estimation and a calculator to check your answers.

1. 15.21 ÷ 0.3 2. 28.14 ÷ 0.7 3. 4.816 ÷ 0.4

4. 36.27 ÷ 9 5. 144.36 ÷ 1.2 6. 636.18 ÷ 0.6

Activity 2


1. 0.85 · 0.2 2. 17.9 − 12.05

3. 6.95 + 2.8 + 3.72 4. 187.6 − 167.09

5. 12.95 + 2.87 + 3.5 6. 0.71 · 0.01

Activity 3

Write the names of the parts of the circle indicated by the letters in these drawing. Use the letters to label the answers.

CD

A

B

E


Solve.

1. 38

+ 25

2. 179

− 109

3. 45

· 89

4. 1234

÷ 414

5. 12

· 810

6. 47

+ 38

Homework


Lesson 13

Activity 1

Solve with or without a calculator. Be sure to check the answers using rounding.

1. 42.18 ÷ 0.6 2. 48.8 ÷ 8 3. 304.5 ÷ 1.5

Activity 2

Choose the correct answer.

1. 42.3 ÷ 0.1 (a) 423 (b) 4.23 (c) 42.3

2. 6.48 ÷ 0.2 (a) 0.324 (b) 3.24 (c) 32.4

3. 0.86 ÷ 0.2 (a) 0.43 (b) 0.043 (c) 4.3

4. 0.75 ÷ 0.25 (a) 0.03 (b) 0.3 (c) 3

Activity 3

Solve.

1. 12.77 + 2.3 + 18.89 2. 149.08 − 59.9

3. 127.89 + 223.9 4. 5.1 · 0.1

5. 4.2 · 0.2 6. 99.09 − 9.09

Activity 4

Find the circumference and area of each of the circles. The formula for circumference is Circumference = 2 · π · r. The formula for area is Area = π · r2. π ≈ 3.14

1.

5 cm

2.

3 cm

3.0.1 cm


Solve.

1. 212 · 31

3 2. 1218 ÷ 63 3. 4

9 · 89 4. 164 ÷ 18

Homework


Lesson 14

Activity 1


1. 3.75 + 2.9 + 8.17 2. 14.9 − 7.89

3. 27.3 · 0.5 4. 24.6 ÷ 0.2

Activity 2

Divide. Choose the correct answer.

1. 0.999 ÷ 0.1 (a) 0.999 (b) 9.99 (c) 99.9

2. 5.05 ÷ 0.5 (a) 0.101 (b) 1.01 (c) 10.1

3. 0.44 ÷ 0.2 (a) 0.22 (b) 2.2 (c) 22.2

4. 2.25 ÷ 0.25 (a) 0.09 (b) 0.9 (c) 9

Activity 3

Round each number to the hundredths place, perform the operation, and then round to the nearest fraction or decimal benchmark. Use the number line below to help find the correct benchmark.

1. 6.227 + 3.021 2. 3.66 ÷ 3

3. 5.06 · 5 4. 8.981 − 5.301


Solve.

1. 610 + 15 2. 43

4 − 212 3. 4

12 − 13

4. 43 · 52 5. 7

9 − 16 6. 34 ÷ 36

0 0.25 0.3 0.50 0.6 0.75 1

0 14

13

12

23

34

1

Homework

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Homework - isd622.org · Unit 6 • Lesson 1 397 Lesson 1 Activity 1 Solve the addition and subtraction problems. Use lined paper turned sideways to help you line up the decimal points