Repeating Decimals as Fractions/Perfect Squares/Square Roots

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

Which of the following numbers is NOT a perfect square: 1, 4, 8, 9?

Back

8 is NOT a perfect square.

Front

What is the square root of 81?

Back

The square root of 81 is 9.

Front

What is the definition of 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

Is π a rational or irrational number?

Back

π is an irrational number.

Front

What is the square of 1?

Back

The square of 1 is 1 (1^2 = 1).

Front

Identify a perfect square from the following: 15, 25, 30, 256.

Back

256 is a perfect square (16^2 = 256).

Front

What is the square root of 256?

Back

The square root of 256 is 16.

Front

List the first five perfect squares.

Back

The first five perfect squares are 1, 4, 9, 16, and 25.

Front

What is the relationship between perfect squares and square roots?

Back

The square root of a perfect square is an integer. For example, the square root of 36 is 6, since 6^2 = 36.