Number Sense

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

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 81 is 9 because 9 x 9 = 81.

The negative root of a number is the negative value that, when multiplied by itself, gives the original number. For example, the negative root of 1 is -1.

10² equals 100, as it means 10 multiplied by itself (10 x 10).

An irrational number is a number that cannot be expressed as a simple fraction. Its decimal representation goes on forever without repeating. For example, pi (π) is an irrational number.

Rational numbers can be expressed as fractions (like 1/2 or -3), while irrational numbers cannot be expressed as fractions and have non-repeating, non-terminating decimal expansions.

The square of a negative number is always positive. For example, (-3)² = 9.

The value of √0 is 0, because 0 multiplied by itself is 0.

The square root of a number is the inverse operation of squaring that number. For example, if x² = 16, then √16 = x, which means x can be 4 or -4.

The square of 5 is 25, as 5 x 5 = 25.