Number Sense

Front

What is a perfect square?

Back

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.

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 81 is 9 because 9 x 9 = 81.

Front

What is the negative root of a number?

Back

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.

Front

What does 10² equal?

Back

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

Front

What is an irrational number?

Back

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.

Front

What is the difference between rational and irrational numbers?

Back

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.

Front

What is the square of a negative number?

Back

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

Front

What is the value of √0?

Back

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

Front

What is the relationship between squares and square roots?

Back

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.

Front

What is the square of 5?

Back

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