Rational and Irrational Review

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. Examples include 1/2, 0.75, and -3.

Front

What is an irrational number?

Back

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats the same sequence of digits. For example, 0.333... (which is equal to 1/3) and 0.727272... are repeating decimals.

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 because they are 1^2, 2^2, 3^2, 4^2, and 5^2 respectively.

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Back

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Front

What is the decimal representation of 1/3?

Back

The decimal representation of 1/3 is 0.333..., which is a repeating decimal.

Front

Which of the following is a perfect square: 36 or 37?

Back

36 is a perfect square because it is equal to 6^2.

Front

What is the square root of 49?

Back

The square root of 49 is 7, since 7^2 = 49.

Front

Is 0.8 a repeating decimal?

Back

No, 0.8 is not a repeating decimal; it is a terminating decimal.