Perfect Squares, Square Roots, and Real Number System

Front

What is a perfect square?

Back

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

Front

What is the square root of a number?

Back

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4, because 4 x 4 = 16.

Front

What is the set of whole numbers?

Back

Whole numbers are the set of non-negative integers, including zero. They are: 0, 1, 2, 3, 4, ...

Front

What are integers?

Back

Integers are the set of whole numbers and their negative counterparts. They include ...,-3, -2, -1, 0, 1, 2, 3, ...

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. For example, 1/2, -3, and 4.75 are rational numbers.

Front

What are irrational numbers?

Back

Irrational numbers are numbers that cannot be expressed as a simple fraction. Their decimal representation goes on forever without repeating. Examples include √2 and π.

Front

What is the relationship between perfect squares and square roots?

Back

The square root of a perfect square is always an integer. For example, the square root of 49 is 7, since 7 x 7 = 49.

Front

Identify the perfect square between 40 and 50.

Back

The perfect square between 40 and 50 is 49, as it is 7 x 7.

Front

Which set does the number -18/3 belong to?

Back

The number -18/3 equals -6, which is part of the set of integers, rational numbers, and real numbers, but NOT whole numbers.

Front

What is the square of -4?

Back

The square of -4 is 16, because (-4) x (-4) = 16.