8.NS.1 and 8.NS.2 Review

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, 16, and 25 are perfect squares.

Front

Identify a perfect square from the following options: 50, 64, 70.

Back

64 is a perfect square because it is 8 squared (8 x 8).

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a fraction of two integers. Its decimal representation is non-repeating and non-terminating.

Front

Provide an example of an irrational number.

Back

√8 is an example of an irrational number.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction a/b, where a and b are integers and b is not zero.

Front

Is the number 0.141414... rational or irrational?

Back

0.141414... is a rational number because it can be expressed as the fraction 14/99.

Front

How do you order the numbers 3π, √10, and 3.25 from greatest to least?

Back

3π is approximately 9.42, 3.25 is 3.25, and √10 is approximately 3.16. Therefore, the order from greatest to least is 3π, 3.25, √10.

Front

What is the value of √25?

Back

The value of √25 is 5, which is a rational number.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions, while irrational numbers cannot be expressed as fractions and have non-repeating, non-terminating decimal expansions.

Front

Can a number be both rational and irrational?

Back

No, a number cannot be both rational and irrational. A number is either one or the other.