Decimals: Understanding and Operations for Sixth Graders

Question 1

Compare the decimals: Which is greater, 0.56 or 0.65?

Accepted Answer

0.65

Answer

0.56

Answer

They are equal

Answer

Cannot be determined

Question 2

Which decimal matches the number 'five and thirty-four hundredths'?

Accepted Answer

5.34

Answer

5.034

Answer

0.534

Answer

53.4

Question 3

Why are the decimals 0.63 and 0.630 considered equivalent?

Accepted Answer

They have the same digits in the tenths and hundredths places.

Answer

0.63 has fewer decimal places than 0.630, so it is smaller.

Answer

0.630 has a zero in the hundredths place, so it must be greater than 0.63.

Answer

0.63 and 0.630 are different decimals, so they cannot be equivalent.

Question 4

Divide 1.2 by 0.3 and write your answer as a mixed number with a remainder, if needed.

Accepted Answer

3 3/5

Answer

4

Answer

3 1/2

Answer

2 4/10

Question 5

Which of these numbers is NOT a decimal?

Accepted Answer

3/4

Answer

0.5

Answer

1.25

Answer

0.75

Question 6

Where is the digit 5 in the decimal number 0.567?

Accepted Answer

Hundredths place

Answer

Ones place

Answer

Tenths place

Answer

Thousandths place

Question 7

Round the decimal 0.456 to the nearest hundredth.

Accepted Answer

0.46

Answer

0.45

Answer

0.47

Answer

0.48

Question 8

Which of these is the same as 0.25 as a fraction?

Accepted Answer

1/4

Answer

1/2

Answer

1/8

Answer

1/16

Question 9

Which of the following is equivalent to 0.75 as a fraction?

Accepted Answer

3/4 (0.75)

Answer

1/5

Answer

3/5

Answer

4/5

Question 10

Subtract 0.23 from 1.56. Write your answer to the nearest hundredth.

Accepted Answer

1.33$

Answer

0.133$

Answer

0.83$

Answer

1.133$

Question 11

What is the place value of the underlined digit in the number 0.547?

Accepted Answer

Hundredths$

Answer

Tenths

Answer

Thousandths

Answer

Ten thousandths

Question 12

Which of the following inequalities is true?

Accepted Answer

0.3 = 0.30$

Answer

0.3 > 0.30

Answer

0.30 < 0.3$

Answer

0.30 > 0.3

Question 13

Which of the following is the correct way to write 15% as a decimal?

Accepted Answer

0.15

Answer

0.015

Answer

1.5

Answer

15.0

Question 14

Why is adding and subtracting decimals generally easier than multiplying or dividing them?

Accepted Answer

Adding and subtracting involve combining or separating numbers, while multiplying and dividing require more complex calculations.

Answer

Decimals have a limited number of digits.

Answer

We use different algorithms for addition and subtraction than for multiplication and division.

Answer

Decimals are always rounded, making it easier to add and subtract them.

Question 15

How do you convert the decimal 0.25 to a percentage?

Accepted Answer

Multiply 0.25 by 100

Answer

Divide 0.25 by 100

Answer

Add 0.25 to 100

Answer

Subtract 0.25 from 100

Question 16

Round 3.456 to the nearest hundredth:

Accepted Answer

3.50

Answer

3.45

Answer

3.46

Answer

3.00

Question 17

What is the place value of the digit 5 in the number 2.543?

Accepted Answer

Hundredths

Answer

Tenths

Answer

Thousandths

Answer

Ten Thousands

Question 18

Express 2 1/4 as a decimal:

Accepted Answer

2.25

Answer

0.5

Answer

2.5

Answer

2.75

Question 19

Calculate the sum of 0.25 and 0.75.

Accepted Answer

1.00

Answer

0.50

Answer

1.50

Answer

2.00

Question 20

Identify the smallest decimal among the following options.

Accepted Answer

0.01

Answer

0.1

Answer

1.0

Answer

10.0

Question 21

Find the product of 0.3 and 0.4.

Accepted Answer

0.07

Answer

0.7

Answer

7

Answer

70

Question 22

Calculate the quotient of 0.6 divided by 0.2.

Accepted Answer

3

Answer

0.3

Answer

30

Answer

300

Question 23

Express the mixed number 1 1/2 as a decimal.

Accepted Answer

1.2

Answer

1.3

Answer

1.4

Answer

1.5

Question 24

A rectangular garden measures 10.5 feet in length and 6.7 feet in width. Calculate the perimeter of the garden.

Accepted Answer

34.4 feet

Answer

17.2 feet

Answer

18.8 feet

Question 25

Express the fraction 7/20 as a decimal. Explain the steps involved in your conversion.

Accepted Answer

0.35; Divide the numerator by the denominator.

Answer

0.25; Multiply the numerator by the denominator.

Answer

3.5; Divide the denominator by the numerator.

Answer

0.7; Multiply the numerator and denominator by 10.

Question 26

How is decimal place value similar to and different from whole number place value?

Accepted Answer

Decimal place value is like whole number place value, but each place to the right of the decimal point is 10 times smaller.

Answer

Decimal place value is completely different from whole number place value.

Answer

Decimal place value only applies to numbers greater than 1.

Answer

Whole number place value is based on powers of 10, while decimal place value is based on powers of 2.

Question 27

Which of the following statements correctly compares the values of 0.6 and 5/8?

Accepted Answer

0.6 is equal to 5/8 because they have the same value when written in the same format.

Answer

0.6 is greater than 5/8 because 6 is greater than 5.

Answer

0.6 is less than 5/8 because the decimal point shows a smaller value than the whole number in the fraction.

Answer

0.6 is not equal to 5/8 because decimals and fractions are different ways of writing numbers.

Question 28

Find the area of a square with a side length of 3.2 centimeters.

Accepted Answer

10.24 cm^2

Answer

6.4 cm^2

Answer

32 cm^2

Question 29

Which of the following is expressed as a decimal number?

Accepted Answer

0.5

Answer

1/2

Answer

1.55

Answer

15%

Question 30

What is the place value of the digit 5 in the number 3.456?

Accepted Answer

Hundredths

Answer

Thousandths

Answer

Tenths

Answer

Ones

Question 31

What is the decimal equivalent of the fraction 3/4?

Accepted Answer

0.6

Answer

0.5

Answer

0.7

Answer

0.8

Question 32

Round the following decimal to the nearest tenth: 2.456

Accepted Answer

2.5

Answer

2.4

Answer

2.6

Answer

2.7

Question 33

Which of the following is the decimal equivalent of 3/5? Convert the fraction to a decimal.

Accepted Answer

0.35

Answer

0.53

Answer

0.6

Answer

0.75

Question 34

Find the sum of 0.34 + 0.27 + 0.15. Show your work and explain the process of adding decimals, including any necessary regrouping.

Accepted Answer

0.76

Answer

0.56

Answer

0.96

Answer

1.06

Question 35

Which of the following is the decimal equivalent of one-fourth?

Accepted Answer

0.25

Answer

0.75

Answer

0.1

Answer

0.5

Question 36

Divide 0.6 by 0.2.

Accepted Answer

3

Answer

4

Answer

2

Question 37

Compare 0.45 and 0.5.

Accepted Answer

0.45 < 0.5

Answer

0.45 > 0.5

Answer

Cannot be compared

Answer

0.45 = 0.5

Question 38

Which fraction is equivalent to 0.8?

Accepted Answer

4/5

Answer

3/5

Answer

2/5

Answer

1/5

Question 39

A rectangular garden has a length of 0.75 meters and a width of 0.5 meters. What is the area of the garden?

Accepted Answer

0.375 square meters

Answer

0.25 square meters

Answer

0.5 square meters

Answer

1 square meter

Question 40

Which decimal is equivalent to 3 and 4 tenths?

Accepted Answer

3.4

Answer

0.34

Answer

3.04

Answer

34

Question 41

Which decimal is greater than 0.5 but less than 0.6?

Accepted Answer

0.55

Answer

0.65

Answer

0.45

Answer

0.75

Question 42

Round off 4.789 to the nearest tenth.

Accepted Answer

4.8

Answer

4.7

Answer

4.9

Answer

5.0

Question 43

Convert the fraction 7/10 to a decimal.

Accepted Answer

0.7

Answer

0.07

Answer

0.007

Question 44

Which decimal is equivalent to the fraction 3/10?

Accepted Answer

0.3

Answer

0.003

Answer

3.00

Answer

30.0

Question 45

Find the difference: 0.75 - 0.32

Accepted Answer

0.43

Answer

0.3

Answer

4.3

Answer

0.043

Question 46

Calculate the product: 0.5 x 0.2

Accepted Answer

0.1

Answer

1.0

Answer

0.01

Answer

0.15

Question 47

Find the quotient: 0.8 ÷ 0.4

Accepted Answer

2

Answer

0.2

Answer

20

Answer

0.02

Question 48

Identify the greatest decimal among the options:

Accepted Answer

0.98

Answer

0.89

Answer

0.8

Answer

0.9

Question 49

Estimate the product of 0.34 x 0.56 to the nearest tenth.

Accepted Answer

0.2

Answer

0.02

Answer

0.3

Question 50

A rectangular garden has a length of 3.5 meters and a width of 2.2 meters. Calculate its area to the nearest tenth of a square meter.

Accepted Answer

7.7

Answer

7.65

Answer

7

Answer

8

Question 51

What decimal is equal to the fraction 3/4?

Accepted Answer

0.75

Answer

0.43

Answer

0.34

Answer

0.25

Question 52

If you add 2.35 and 1.6, what is the total?

Accepted Answer

3.95

Answer

3.91

Answer

4.01

Answer

3.01

Question 53

What is the difference when you subtract 0.45 from 2.7?

Accepted Answer

2.25

Answer

1.25

Answer

3.15

Answer

2.35

Question 54

What is the product of 3.2 and 1.5?

Accepted Answer

4.8

Answer

4.7

Answer

3.7

Answer

5.7

Question 55

What is the result of dividing 12.6 by 3?

Accepted Answer

4.2

Answer

3.2

Answer

4.8

Answer

3.8

Question 56

A recipe calls for 0.75 cups of flour. If you want to make half the recipe, how much flour do you need?

Accepted Answer

0.375 cups

Answer

1.5 cups

Answer

0.5 cups

Answer

1.0 cups

Question 57

Which decimal represents the fraction 1/20?

Accepted Answer

0.05

Answer

0.1

Answer

0.2

Answer

0.5

Question 58

Arrange these decimals from smallest to largest: 0.8, 0.08, 0.88, 0.008

Accepted Answer

0.008, 0.08, 0.8, 0.88

Answer

0.08, 0.008, 0.8, 0.88

Answer

0.88, 0.8, 0.08, 0.008

Answer

0.8, 0.08, 0.88, 0.008

Question 59

Imagine a shape divided into 10 equal parts. If 6 parts are shaded, what decimal represents the shaded portion?

Accepted Answer

0.6

Answer

0.2

Answer

0.4

Answer

0.8

Question 60

Apples cost $1.25 per pound. How much would 3.5 pounds of apples cost?

Accepted Answer

$4.38

Answer

$5.00

Answer

$3.75

Answer

$4.00

Question 61

What decimal is equal to the fraction 3/4?

Accepted Answer

0.75

Answer

0.34

Answer

0.43

Answer

0.25

Question 62

If you add 2.35 and 1.8, what is the total?

Accepted Answer

4.15

Answer

4.23

Answer

3.23

Answer

3.15

Question 63

What is the product of 3.2 and 1.5?

Accepted Answer

4.8

Answer

4.5

Answer

3.8

Answer

4.2

Question 64

What is the result when you divide 12.6 by 3?

Accepted Answer

4.2

Answer

4.8

Answer

3.2

Answer

3.8