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 the quotient or fraction of two integers, where 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 cannot be written as a ratio of two integers.

Front

How do you find the area of a circle?

Back

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

Front

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

Back

The radius is 8 inches.

Front

What is the formula for the area of a square?

Back

The area of a square is calculated using the formula A = s², where s is the length of a side.

Front

If a square has an area of 36 square inches, what is the length of each side?

Back

Each side is 6 inches.

Front

How do you compare the areas of different shapes?

Back

To compare areas, calculate the area of each shape using the appropriate formula and then compare the numerical values.

Front

What is the approximate value of √3?

Back

The approximate value of √3 is about 1.732.

Front

If a square has an area of 300 in², what is the range of possible side lengths?

Back

The side lengths are between 17 and 17.5 inches.

Front

How do you order numbers from greatest to least?

Back

To order numbers from greatest to least, compare their values and arrange them accordingly.