Math 8 (Module 2) Understanding Decimals and Real Numbers

What is a terminating decimal? Give an example.

• 0.5

• 1.25

• 0.75

• 0.333

What is a repeating decimal? Provide an example.

• An example of a repeating decimal is 0.333... (which is equal to 1/3).

• 0.25 (which is equal to 1/4)

• 0.666... (which is equal to 2/3)

• 0.5 (which is equal to 1/2)

How can you identify if a decimal is terminating or repeating?

• A decimal is repeating if it has a denominator of 1.

• A decimal is terminating if it ends with a zero.

• A decimal is terminating if it has more than two decimal places.

• A decimal is terminating if its denominator has only the prime factors 2 and/or 5; otherwise, it is repeating.

Calculate the square root of 64.

• 6

• 12

• 10

• 8

Estimate the value of √50 to one decimal place.

• 8.0

• 6.5

• 7.1

• 7.5

Which is greater: 0.75 or 0.8?

• 0.5

• 0.8

• 1.0

• 0.9

Order the following numbers from least to greatest: 1.5, 0.5, 2.0, 1.0.

• 0.5, 2.0, 1.0, 1.5

• 1.0, 1.5, 0.5, 2.0

• 2.0, 1.5, 1.0, 0.5

• 0.5, 1.0, 1.5, 2.0

Is the number √3 a rational or an irrational number?

• rational

• irrational

• integer

• whole number

What is the decimal representation of 1/8?

• 0.75

• 0.5

• 0.125

• 0.25

Compare the following: 0.333... and 1/3. Are they equal?

• 0.333... is greater than 1/3.

• 0.333... and 1/3 are not comparable.

• 0.333... is less than 1/3.

• Yes, 0.333... and 1/3 are equal.