Decimals: Understanding Place Value, Comparison, and Operations

Question 1

In real life, how do we use decimals to measure distance, time, and money?

Accepted Answer

We use decimals to measure distance in kilometers and miles, time in hours and minutes, and money in pounds and dollars.

Answer

We only use decimals to measure time in seconds and money in cents.

Answer

We don't use decimals in any of these measurements.

Answer

We only use decimals to measure money in euros.

Question 2

In the decimal 0.362, what is the value of the digit 6?

Accepted Answer

0.06

Answer

0.6

Answer

0.006

Answer

6

Question 3

Anya has four ribbons of different lengths: 0.45 meters, 0.54 meters, 0.39 meters, and 0.51 meters. Which ribbon is the longest?

Accepted Answer

0.54 meters

Answer

0.45 meters

Answer

0.39 meters

Answer

0.51 meters

Question 4

Which fraction is equal to the decimal 0.75?

Accepted Answer

3/4

Answer

1/2

Answer

1/4

Answer

1/8

Question 5

Which of the following numbers is greater: 0.705 or 0.75?

Accepted Answer

0.75

Answer

0.705

Answer

Both numbers are equal

Answer

Cannot be determined

Question 6

Which is the largest number: 0.4, 0.38, 0.405, 0.39?

Accepted Answer

0.405

Answer

0.4

Answer

0.39

Answer

0.38

Question 7

What is 0.84 - 0.59?

Accepted Answer

0.35

Answer

0.25

Answer

0.45

Answer

0.55

Question 8

What is 0.5 as a fraction?

Accepted Answer

1/2

Answer

5/10

Answer

5/2

Answer

2/5

Question 9

Write 'one and three-tenths' as a decimal:

Accepted Answer

1.3

Answer

1.03

Answer

0.13

Answer

0.31

Question 10

Estimate 0.48 + 0.26 to the nearest tenth:

Accepted Answer

0.8

Answer

0.7

Answer

0.9

Answer

1.0

Question 11

A rectangular garden has a length of 3.5 meters and a width of 2.4 meters. What is the area of the garden?

Accepted Answer

8.4 square meters

Answer

5.9 square meters

Answer

6.4 square meters

Answer

9.3 square meters

Question 12

Which of the following is a reasonable estimate for the length of a pencil in centimeters?

Accepted Answer

5 cm

Answer

0.5 cm

Answer

50 cm

Answer

500 cm

Question 13

A car traveled 125.6 kilometers and used 8.4 liters of gasoline. What was the car's fuel efficiency, in kilometers per liter?

Accepted Answer

14.95 km/L

Answer

15 km/L

Answer

14 km/L

Answer

13.95 km/L

Question 14

Arrange the following decimals from smallest to largest: 0.25, 0.15, 0.4, 0.3

Accepted Answer

0.15, 0.25, 0.3, 0.4

Answer

0.25, 0.15, 0.3, 0.4

Answer

0.15, 0.25, 0.4, 0.3

Answer

0.3, 0.4, 0.25, 0.15

Question 15

Find the difference: 0.75 - 0.23

Accepted Answer

0.42

Answer

0.52

Answer

0.62

Answer

0.32

Question 16

Which of the following is the correct expanded form for 0.345?

Accepted Answer

3 tenths + 4 hundredths + 5 thousandths

Answer

3 hundredths + 4 tenths + 5 thousandths

Answer

3 + 4 tenths + 5 hundredths

Answer

30 + 4 + 5 tenths

Question 17

Compare the decimals: Which is greater, 0.45 or 0.54?

Accepted Answer

0.54

Answer

0.45

Answer

Decimals are equal

Question 18

Arrange the following decimals in order from least to greatest: 0.7, 0.06, 0.55, 0.1

Accepted Answer

0.06, 0.1, 0.55, 0.7

Answer

0.1, 0.06, 0.55, 0.7

Answer

0.06, 0.55, 0.1, 0.7

Answer

0.1, 0.55, 0.06, 0.7

Question 19

What is the value of the digit 4 in the decimal 0.456?

Accepted Answer

4/100

Answer

4/10

Answer

4/1000

Answer

4/10000

Question 20

Write the expanded form of 0.005.

Accepted Answer

5 thousandths

Answer

5 hundredths

Answer

5 tenths

Answer

5 ones

Question 21

Which of the following is equal to three-quarters?

Accepted Answer

75/100

Answer

75/10

Answer

7.5/100

Answer

750/1000

Question 22

Compare 0.45 and 0.54. Which number is smaller?

Accepted Answer

0.45

Answer

0.54

Answer

They are equal

Answer

Cannot be compared

Question 23

A pizza is cut into 8 equal slices. You eat 3 slices. What fraction of the pizza have you eaten?

Accepted Answer

3/8

Answer

1/8

Answer

5/8

Answer

7/8

Question 24

A shop is selling apples for 1.25 pounds per kilogram. How much would 0.75 kilograms of apples cost?

Accepted Answer

0.625 pounds

Answer

0.75 pounds

Answer

1.25 pounds

Answer

1.875 pounds

Question 25

Which of the following is the closest estimate for the perimeter of a rectangle with a length of 2.5 centimetres and a width of 1.7 centimetres?

Accepted Answer

4 centimetres

Answer

2.5 centimetres

Answer

6 centimetres

Answer

8 centimetres

Question 26

Which decimal is equal to fifteen hundredths?

Accepted Answer

0.15

Answer

0.015

Answer

1.5

Answer

15

Question 27

Find the total of 0.45 and 0.27:

Accepted Answer

0.72

Answer

0.18

Answer

1.8

Answer

7.2

Question 28

Which of these mixed numbers has a decimal part of 0.25?

Accepted Answer

1 and 1/4

Answer

1 and 2/8

Answer

1 and 1/2

Answer

1 and 3/4

Question 29

Which decimal is equivalent to the percentage 25%?

Accepted Answer

0.25

Answer

0.2

Answer

0.5

Answer

0.75

Question 30

Which number is the same as 3/10?

Accepted Answer

0.3

Answer

0.03

Answer

30

Answer

3

Question 31

Which of these is the same as 100%?

Accepted Answer

1.0

Answer

0.1

Answer

10

Answer

100

Question 32

Which decimal is larger, 0.35 or 0.4? Explain your answer.

Accepted Answer

0.4 is larger because the digits after the decimal point are larger.

Answer

0.35 is larger because it has more digits after the decimal point.

Answer

0.35 is larger because the decimal point is further to the left.

Question 33

What number is missing in this sequence: 0.2, 0.4, 0.6, ___, 1.0?

Accepted Answer

0.9

Answer

0.7

Answer

0.8

Answer

1.1

Question 34

Which of the following is the smallest decimal?

Accepted Answer

0.15

Answer

0.25

Answer

0.3

Answer

0.4

Question 35

Which fraction is equivalent to the decimal number 0.75?

Accepted Answer

3/4

Answer

1/5

Answer

1/2

Answer

2/3

Question 36

Which of the following decimals is the greatest?

Accepted Answer

0.453

Answer

0.345

Answer

0.354

Answer

0.435

Question 37

Decimals and fractions are two ways of representing numbers. How are they similar and different?

Accepted Answer

Decimals and fractions can both represent the same numbers.

Answer

Decimals are always greater than fractions.

Answer

Decimals can only represent numbers between 0 and 1.

Question 38

A baker needs 0.75 cups of flour for each batch of cookies. If she wants to bake 3 batches, how much flour does she need?  She has 2.5 cups of flour - is this enough?

Accepted Answer

Yes, she has enough flour.

Answer

No, she does not have enough flour.

Answer

We need more information to know the answer.

Question 39

Convert the fraction 3/10 to its decimal form.

Accepted Answer

0.3

Answer

0.003

Answer

3

Answer

30

Question 40

Which of the following decimals is the greatest?

Accepted Answer

0.7

Answer

0.4

Answer

0.5

Answer

0.25

Question 41

Calculate the sum: 0.25 + 0.35

Accepted Answer

0.6

Answer

0.006

Answer

6

Answer

0.06

Question 42

Find the difference: 0.8 - 0.42

Accepted Answer

0.38

Answer

0.308

Answer

3.8

Answer

0.038

Question 43

Round the decimal 2.567 to the nearest whole number.

Accepted Answer

3

Answer

2.5

Answer

2

Answer

2.6

Question 44

Which decimal is equal to half?

Accepted Answer

0.5

Answer

0.25

Answer

0.75

Answer

0.2

Question 45

Arrange the following decimals in ascending order: 0.4, 0.62, 0.59, 0.6

Accepted Answer

0.4, 0.59, 0.6, 0.62

Answer

0.59, 0.6, 0.4, 0.62

Answer

0.62, 0.6, 0.59, 0.4

Question 46

In the decimal 0.567, which digit represents the value of five?

Accepted Answer

5 hundredths

Answer

5 tenths

Answer

5 thousandths

Answer

5 ones

Question 47

Convert the fraction 3 out of 4 to a decimal:

Accepted Answer

0.75

Answer

0.85

Answer

0.55

Answer

0.65

Question 48

Find the missing digit in the decimal: 0.12_:

Accepted Answer

5

Answer

2

Answer

9

Answer

7

Question 49

Which of the following decimal numbers has the same value as the fraction 1/2?

Accepted Answer

0.5

Answer

5/100

Answer

15/100

Answer

500/1000

Question 50

Order the following decimals from smallest to largest: 0.3, 0.15, 0.4, 0.25

Accepted Answer

0.15, 0.25, 0.3, 0.4

Answer

0.25, 0.15, 0.4, 0.3

Answer

0.4, 0.3, 0.25, 0.15

Answer

0.15, 0.3, 0.25, 0.4

Question 51

Find the difference between 0.9 and 0.25.

Accepted Answer

0.65

Answer

0.75

Answer

0.55

Answer

0.45

Question 52

Which of the following fractions has the same value as the decimal 0.75?

Accepted Answer

3/4

Answer

1/2

Answer

1/4

Answer

5/10

Question 53

Identify the place value of the digit 8 in the decimal number 0.48.

Accepted Answer

hundredths

Answer

ones

Answer

tenths

Question 54

Compare the decimals 0.75 and 0.8. Which one is greater?

Accepted Answer

0.8

Answer

Both are equal

Answer

0.75

Answer

Cannot be compared

Question 55

Find the difference between the decimals 0.76 and 0.32.

Accepted Answer

0.44

Answer

0.34

Answer

0.54

Answer

0.64

Question 56

Convert the mixed number 2 1/4 to a decimal.

Accepted Answer

2.25

Answer

2.75

Answer

2.4

Answer

2.5

Question 57

Which of the following decimals is greater than 1?

Accepted Answer

1.25

Answer

0.25

Answer

0.5

Answer

0.75

Question 58

Which number is the smallest: 0.25, 0.75, 1.0, or 0.5?

Accepted Answer

0.25

Answer

0.75

Answer

1.0

Answer

0.5

Question 59

Which of the following is equivalent to 0.75?

Accepted Answer

Three-quarters (3/4)

Answer

Two-thirds (2/3)

Answer

One-quarter (1/4)

Answer

One-half (1/2)

Question 60

Put the following decimals in order from smallest to largest: 0.35, 0.4, 0.25

Accepted Answer

0.25, 0.35, 0.4

Answer

0.25, 0.4, 0.35

Answer

0.35, 0.25, 0.4

Answer

0.4, 0.35, 0.25

Question 61

Round the decimal 3.6 to the nearest whole number

Accepted Answer

4

Answer

5

Answer

6

Answer

3

Question 62

Which of the following is a terminating decimal?

Accepted Answer

0.5

Answer

0.333...

Answer

0.125

Answer

0.666...

Question 63

What is the value of the digit '5' in the decimal number 3.258?

Accepted Answer

Five hundredths

Answer

Five thousandths

Answer

Five tenths

Answer

Five units

Question 64

Which of these decimals is the smallest?

Accepted Answer

0.067

Answer

0.07

Answer

0.6

Answer

0.607