Comparing and Ordering Rational and Irrational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction, where both the numerator and the denominator are integers, and the denominator is not zero.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction; it is a non-repeating, non-terminating decimal.

Front

What is the value of π (pi) approximately?

Back

π is approximately 3.14.

Front

What is the area of a square with side length 's'?

Back

The area of a square is calculated using the formula: Area = s².

Front

If the area of a square is 100 m², what is the length of each side?

Back

Each side of the square would be 10 meters.

Front

How do you compare rational and irrational numbers on a number line?

Back

Rational numbers can be placed exactly on a number line, while irrational numbers cannot be precisely located.

Front

What is the square root of 18?

Back

The square root of 18 is approximately 4.24, which is an irrational number.

Front

What is the formula for the area of a circle?

Back

The area of a circle is calculated using the formula: Area = πr², where r is the radius.

Front

If the area of a circle is 64π in², what is the radius?

Back

The radius of the circle is 8 inches.

Front

What is the relationship between the side length of a square and its area?

Back

The side length of a square is the square root of its area.