Rational Numbers and Decimals Quiz

Are all terminating and repeating decimals rational numbers?

• Yes, all of them

• No, none of them

• Only terminating decimals

• Only repeating decimals

Answer explanation

Yes, all terminating and repeating decimals are rational numbers because they can be expressed as a fraction of two integers. Terminating decimals have a finite number of digits, while repeating decimals have a pattern that repeats indefinitely.

To which number set does -5 belong?

• Rational numbers, integers

• Whole numbers, integers

• Only whole numbers

• Only rational numbers

Answer explanation

-5 is an integer because it is a whole number that is not positive. It is also a rational number since it can be expressed as -5/1. Therefore, the correct answer is 'Rational numbers, integers'.

Is the decimal -0.4848... terminating or repeating?

• Repeating

• Terminating

• Neither

• Both

Answer explanation

The decimal -0.4848... has a repeating pattern of '48'. Since it does not terminate and continues indefinitely with the same digits, it is classified as repeating.

Convert the fraction 7/8 to a decimal.

• 0.875

• 0.78

• 0.87

• 0.88

Answer explanation

To convert 7/8 to a decimal, divide 7 by 8. This results in 0.875, which is the correct answer. The other options do not accurately represent the fraction.

Convert the fraction 1/11 to a decimal.

• 0.0909

• 0.09

• 0.1

• 0.11

Answer explanation

To convert 1/11 to a decimal, divide 1 by 11. The result is approximately 0.090909..., which can be rounded to 0.0909. Thus, the correct answer is 0.0909.

Convert the fraction 7/9 to a decimal.

• 0.777...

• 0.79

• 0.7

• 0.75

Answer explanation

To convert 7/9 to a decimal, divide 7 by 9. The result is approximately 0.777..., which is a repeating decimal. Thus, the correct answer is 0.777... .

Convert the decimal 0.45 to a fraction in simplest form.

• 9/20

• 45/100

• 5/11

• 9/25

Answer explanation

To convert 0.45 to a fraction, write it as 45/100. Simplifying this by dividing both the numerator and denominator by 5 gives 9/20, which is the simplest form. Thus, the correct answer is 9/20.

Order the numbers from least to greatest: 3/4, 0.5, 2/3, 7/3, 1.2.

• 0.5, 2/3, 3/4, 1.2, 7/3

• 2/3, 0.5, 3/4, 7/3, 1.2

• 7/3, 1.2, 3/4, 2/3, 0.5

• 1.2, 7/3, 0.5, 2/3, 3/4

Answer explanation

To order the numbers, convert them to decimals: 3/4 = 0.75, 2/3 ≈ 0.67, 7/3 ≈ 2.33, and 1.2 = 1.2. Arranging these gives: 0.5, 2/3 (0.67), 3/4 (0.75), 1.2, 7/3 (2.33). Thus, the correct order is 0.5, 2/3, 3/4, 1.2, 7/3.

What is the decimal form of -2.32?

• -2.32

• -2.3

• -2.33

• -2.31

Answer explanation

The decimal form of -2.32 is simply -2.32 itself. The other options, -2.3, -2.33, and -2.31, are incorrect as they do not represent the same value. Therefore, the correct answer is -2.32.

Which symbol correctly completes the statement: -1.82 ___ -1.81?

• >

• <

• =

• None of the above