Module 1 Place Value and Decimal Fractions

Lesson 1-2

100

455 × 1,000 = ___________________

455,000

200

3632.1 ÷ 10 = ___________________

363.21

300

32.1 × 10 = ___________________

321

400

684 ÷ 1,000 = ____________

0.684

500

6.671 × 100 = ____________

667.1

Lesson 3-4

100

a. Express nine thousandths as a decimal.

b. Express twenty-nine thousandths as a fraction.

a. 0.009

b. 29/1000

200

Express 24.357 in words.

a. Write the expanded form using fractions or decimals.

b. Express in unit form.

a. twenty-four and three hundred fifty-seven thousandths 

b. 24 ones and 357 thousandths 

300

Write the following in exponential form and as a multiplication sentence using only 10 as a factor

(e.g., 100 = 102 = 10 × 10).

a. 1,000 = ______________ = ______________

b. 100 × 100 = ______________ = ______________

a. 10³ = 10 x 10 x 10

b. 10⁴ = 10 x 10 x 10 x 10

400

Write the following in standard form (e.g., 4 × 102 = 400).

a. 3 × 10² = ______________

b. 800 ÷ 10³ = ______________

a. 300

b. 0.8

500

Convert using an equation with an exponent.

a. 2 meters to centimeters 2 m = ________ cm _________________________

b. 40 millimeters to meters 40 mm = ________ m

a. 200 cm

b. 0.04

Lesson 5-8

100

115.376

a. Hundredths 

b. Ones 

c. Tens

a. 115.38

b. 115

c. 12

200

Show the numbers on the place value chart using digits. Use >, <, or = to compare. Explain your thinkingcin the space to the right.

a. 167.4       167.462

b. 32.725      32.735

a. <

b. <

300

Arrange the numbers in decreasing order.

76.342 

76.332 

76.232 

76.343

76.343

76.342

76.332

76.232

400

Label the number lines, and circle the rounded value.

8.546

a. hundredths

b. tens

a. 8.55

b. 10

500

Round the quantity to the given place value. Draw number lines to explain your thinking. Circle the rounded value on the number line.

a. 13.989 to the nearest tenth 

b. 382.993 to nearest hundredth

a. 14

b. 382.99

Lesson 9-11

100

a. 2.40 + 1.8 = ____________

b. 36.25 + 8.67 = ____________

a. 4.2

b. 44.92

200

Solve.

a. 4 hundredths + 8 hundredths = ______ hundredths = ______ tenth(s) _______ hundredths

a. 12 hundredths = 1 tenth 2 hundredths 

300

Subtract.

1.7 – 0.8 =  ___tenths – ______tenths = ____tenths =__________

17 tenths - 8 tenths= 9 tenths = 0.9

400

Subtract vertically, showing all work.

a. 84.637 – 28.56 =

a. 56.077

500

Subtract vertically, showing all work.

a. 7 – 0.35 =

a. 6.65

Lesson 12-15

100

Solve using area model

3 × 9.63

Ms. Manfredi will check your area model 

a. 28.89

200

Use estimation to choose the correct value for each expression.

a. 5.1 × 2 

b. 4 × 8.93

a. 10

b. 36

300

Complete the sentences with the correct number of units, and then complete the equation.

a. 2 groups of ____ tenths is 1.8. 1.8 ÷ 2 =

b. 4 groups of ___ hundredths is 0.32. 0.32 ÷ 4 =

c. 7 groups of _____thousandths is 0.021. 0.021 ÷ 7 =

a. 9 tenths = 0.9

b. 32 hundredths = 0.08

c. 21 thousandths = 0.003

400

Draw place value disks on the place value chart to solve. Show each step using the standard algorithm.

5.372 ÷ 2 =

Ms. Manfredi will check your drawing in your place value chart

 2. 686

500

a. Draw place value disks on the place value chart to solve. Show each step in the standard algorithm.

0.9 ÷ 4 = _______

Solve using the standard algorithm.

9.8 ÷ 5 =

a. 0.225

b. 1.96