The Real Number System

Front

What is the Real Number System?

Back

The Real Number System includes all the numbers that can be found on the number line, including rational numbers (like integers and fractions) and irrational numbers.

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, 81 is a perfect square because it is 9 x 9.

Front

What is a square root?

Back

A square root is a number that produces a specified quantity when multiplied by itself. For example, the square root of 81 is 9.

Front

Order the following numbers from least to greatest: -0.8, -0.63, -0.6, -0.72.

Back

-0.8, -0.72, -0.63, -0.6.

Front

What is an example of an irrational number?

Back

An example of an irrational number is 0.75575557654..., which cannot be expressed as a fraction.

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero. For example, -9 is an integer.

Front

What are rational numbers?

Back

Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero.

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

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, the absolute value of -5 is 5.

Front

What is a whole number?

Back

Whole numbers are non-negative integers, including zero. Examples are 0, 1, 2, 3, etc.