Rational Numbers Review

• 3/5
• 2/3
• 1/2
• 9/8

Tags

CCSS.7.NS.A.2A

Write the repeating decimal 0.5555555.... as a fraction.

• 5/9

• 3/4

• 2/3

• 1/2

Answer explanation

To convert the repeating decimal 0.5555... to a fraction, let x = 0.5555.... Then, 10x = 5.5555.... Subtracting these gives 9x = 5, so x = 5/9. Thus, 0.5555... as a fraction is 5/9.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

• 0.087

• 0.095

• 0.080

• 0.100

Answer explanation

First, calculate the expressions: 0.045 - 0.0015 = 0.0435 and 0.897 + 1.103 = 2.000. Then, multiply: 0.0435 × 2.000 = 0.087. Thus, the correct answer is 0.087.

Tags

CCSS.7.NS.A.3

• 0.512

• 0.4085

• 0.4

• 0.408

Answer explanation

To convert \( \frac{51}{125} \) to a decimal, divide 51 by 125. This results in 0.408, which is the correct answer. The other options do not match the result of the division.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Convert 1/9 to decimal form.

• 0.111...

• 0.5

• 0.01

• 0.1

Answer explanation

To convert 1/9 to decimal form, divide 1 by 9. This results in a repeating decimal of 0.111..., which is the correct answer. The other options do not represent the value of 1/9.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

• 3.0

• 3.5

• 112.24

• 2802.5

Answer explanation

To solve the expression, first calculate 112.24 ÷ 0.04, which equals 2806. Then subtract 2802.5 from 2806, resulting in 3.5. Thus, the correct answer is 3.5.

Tags

CCSS.6.NS.B.3

Convert 0.3333333333 to a fraction.

• 3/5

• 1/3

• 2/3

• 1/4

Answer explanation

0.3333333333 is a repeating decimal that can be expressed as 1/3. This is because 1 divided by 3 equals 0.3333..., making 1/3 the correct fraction representation.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Write 0.625 as a fraction. Simplify if possible.

• 7/8

• 1/2

• 3/4

• 5/8

Answer explanation

To convert 0.625 to a fraction, recognize it as 625/1000. Simplifying by dividing both numerator and denominator by 125 gives 5/8. Thus, the correct answer is 5/8.

Convert 1/8 to decimal form.

• 0.25

• 0.125

• 0.5

• 0.75

Answer explanation

To convert 1/8 to decimal, divide 1 by 8. This results in 0.125, which is the correct answer. The other options (0.25, 0.5, 0.75) are incorrect.

• 8

• 10

• 7

• 9

Answer explanation

The expression \(\sqrt[2]{81}\) represents the square root of 81. Since 9 x 9 = 81, the square root is 9. Therefore, the correct answer is 9.

Tags

CCSS.8.EE.A.2