Free Printable Decimal Place Value and Representation Worksheet

1.

What is the correct word representation for (1 × 1/10) + (2 × 1/100) + (3 × 1/1000)?

a)

one hundred twenty-three

b)

one and twenty-three thousandths

c)

one hundred twenty-three hundredths

d)

one hundred twenty-three thousandths

2.

Which options are equivalent to 3000 + 10 + 6 + 0.05?

a)

3160.05

b)

3016 5/1000

c)

(3 × 1000) + (1 × 10) + (6 × 1) + (5 × 1/100)

d)

three thousand sixteen and five hundredths

3.

Which digit is in the thousandths place in 5786.0294?

a)

2

b)

4

c)

5

d)

9

4.

Which options are equivalent to 605.03?

a)

605 3/10

b)

60 + 5 + 0.03

c)

(6 × 100) + (5 × 1) + (3 × 1/100)

d)

six hundred five and three hundredths

5.

A timer used in competitive sports registered 5.056 minutes for one runner to complete a race. How is 5.056 written in words?

a)

five and fifty-six hundreds

b)

five and fifty-six thousands

c)

five and fifty-six hundredths

d)

five and fifty-six thousandths

6.

A six digit number is shown below. 1792.98 Which statement about the underlined number is correct?

a)

The underlined digit is 10 times greater than the digit to its left.

b)

The underlined digit is 1/10 of the digit to its right.

c)

The underlined digit is 10 times smaller than the digit to its right.

d)

The underlined digit is 1/10 of the digit to its left.

7.

Consider the numbers 54,162 and 5,416.2. Which statements accurately reflect the relationship between the “6” in each number?

a)

A. The 6 in 54,162 has a greater value than the 6 in 5,416.2.

b)

D. The value of the 6 in 54,162 is 10 times greater than the value of the 6 in 5,416.2.

c)

C. The value of the 6 in 5,416.2 is 10 times greater than the value of the 6 in 54,162.

d)

E. The value of the 6 in 5,416.2 is 100 times greater than the value of the 6 in 54,162.

e)

B. The 6 in 54,162 has a smaller value than the 6 in 5,416.2.

8.

Cameron read that his favorite NBA team won their game last night by a score of 142 to 124. Which is true about the digit 2 in each number?

a)

The 2 in 142 represents a greater value than the 2 in 124 because 142 > 124.

b)

The 2 in 142 represents a greater value than the 2 in 124 because it is farther right.

c)

The 2 in 142 represents 1/10 of the value of the 2 in 124.

d)

The 2 in 142 represents 10 times the value of the 2 in 124.

9.

In which number does the 9 have a value that is 1,000 times greater than its value in 89.1?

a)

8,910

b)

89,100

c)

0.891

d)

0.819

10.

Which is $\frac{1}{10}$ the value of the digit 6 in 46.12?

a)

6 hundreds

b)

6 hundredths

c)

6 tens

d)

6 tenths

11.

What is 352.684 rounded to the nearest hundredth?

a)

352.6

b)

352.7

c)

352.68

d)

352.69

12.

When a number is rounded to the nearest whole number, the result is 10. What could be the original number?

a)

9.09

b)

9.4

c)

10.2

d)

10.51

13.

When rounded to the nearest tenth, which number(s) will round to 23.8?

a)

A. 23.748

b)

B. 23.75

c)

C. 23.76

d)

D. 23.82

e)

E. 23.851

14.

The numbers 15.254 and 14.546 should be rounded to which place value to be the same number after rounding?

a)

tens

b)

ones

c)

tenths

d)

hundredths

15.

When rounded to the nearest hundredth, which number(s) will result in 12.64?

a)

12.651

b)

12.649

c)

12.635

d)

12.634

e)

12.642

16.

Jamal paid for a book with a $20 bill. He received one dollar, two quarters, one dime, and four pennies in change. How much did Jamal pay for the book?

a)

$18.29

b)

$18.36

c)

$19.29

d)

$19.36

17.

Adrian's mother has a budget of $95 to spend on food and supplies for his birthday party. If she spent$ 55.25 for snacks and a cake and $14.50 for drinks, what is the most she can spend on decorations?

a)

$24.85

b)

$25.25

c)

$26.25

d)

$26.75

18.

Miguel bought a remote control helicopter for $17.52. How much change should he receive if he paid the cashier$ 20.00?

a)

$2.48

b)

$12.48

c)

$13.58

d)

$37.52

19.

Matt’s winning time in the 200-meter sprint was 26.03 seconds. Ryan’s time was 0.45 seconds greater. What was Ryan’s time?

a)

25.58 seconds

b)

25.68 seconds

c)

26.48 seconds

d)

26.58 seconds

20.

Marcus lost his swimming cap and goggles at his last swim meet. He purchased a new cap and goggles set for $23.19 at the sporting goods store. If he gave the cashier$ 40.00, how much change did he get back?

a)

$16.81

b)

$23.19

c)

$27.91

d)

$63.19

21.

Walmart sells packs of baseball cards. One pack of baseball cards costs $0.42. Ilene buys 9 packs of baseball cards. She also buys a package of gum for$ 1.65. How much money did Ilene spend in all? Which equation below could be used to solve the word problem?

a)

(9 x 0.42) + 1.65 = M

b)

(9 x 0.42) - 1.65 = M

c)

(1.65 + 0.42) x 9 = M

d)

(1.65 - 0.42) x 9 = M

22.

Harriet swims 8 laps during swim practice. The distance of one full lap is 0.75 kilometers. Yesterday, she swam 2.5 kilometers. How many total kilometers did she swim in two days? Which equation below could be used to solve the word problem?

a)

(8 x 0.75) + 2.5 = K

b)

(8 x 2.5) + 0.75 = K

c)

(8 x 0.75) - 2.5 = K

d)

(8 x 2.5) - 0.75 = K

23.

Which word problem below matches the equation (0.85 x 8) + 3.50 = x?

a)

One ticket to the petting zoo costs $0.85. Dahlia buys 8 tickets so her whole family can get into the petting zoo. They also spend$ 3.50 to feed the animals. How much money did they spend altogether?

b)

One package of gummy bears weighs 0.85 pound. A teacher orders 8 packages of gummy bears. She gives away 3.50 pounds of gummy bears while playing a game. How many pounds of gummy bears does she have left?

c)

A farmer sells 8 cartons of eggs at $0.85 per carton. He spends$ 3.50 to buy a new basket to collect eggs in. How much money does he have now?

d)

Crystal has a basket of 8 apples in her kitchen. Each apple weighs 0.85 pound. Her family eats 3.50 pounds of apples. How many pounds of apples are left in the basket?

24.

Flora and her uncle enjoy making paper flowers. On Monday morning, Flora made 12 paper flowers, and her uncle made 8 paper flowers. That afternoon, they made more flowers, which doubled their number of flowers from the morning. Before she went to bed, Flora made 6 more paper flowers.

a)

(2 × 12) + 8 + 6

b)

2 × (12 + 8) + 6

c)

2 × 12 + 8 + 6

d)

2 × 12 + (8 + 6)

25.

Mr. Wong asked his students to subtract 6 from 20 and double the result.

a)

6 − 20 × 2

b)

(6 − 20) × 2

c)

20 − 6 × 2

d)

(20 − 6) × 2

26.

Owen notices a pattern on his cell phone bill. The cost of 1 text message is $0.03. The cost of 10¹ text messages is$ 0.30. The cost of 10² text messages is $3.00. Based on the pattern, how much would 10⁵ text messages cost?

a)

$30

b)

$300

c)

$3,000

d)

$30,000

27.

Which statement is true?

a)

1.715 × 10^1 = 171.5

b)

1.715 × 10^3 = 1,715

c)

1.715 × 10^5 = 17,150

d)

1.715 × 10^6 = 171,500

28.

Which number written in standard form will have the greatest number of zeros?

a)

$1.2 \times 10^4$

b)

$5.6 \times 10^3$

c)

$7.8 \times 10^2$

d)

$9.0 \times 10^1$

29.

The world's tallest peak is Mount Everest with an elevation of 29,029 feet. This number can be written as $2.9029 \times 10^n$ . What is the value of n?

a)

A. 4

b)

B. 5

c)

C. 6

d)

D. 7

30.

A town kept track of its growing squirrel population. Year | Population 2009 | 200 2011 | 2,000 2013 | 20,000 2015 | ? If the pattern continued, what was the squirrel population in 2015?

a)

200,000,000 squirrels

b)

20,000,000 squirrels

c)

2,000,000 squirrels

d)

200,000 squirrels

Decimal Place Value and Representation Worksheet

Total questions: 30

Worksheet time: 15mins

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