Rational Numbers and Equations

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient 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 the quotient of two integers.

Front

How do you find the volume of a cube?

Back

The volume of a cube is found by raising the length of one side to the third power (V = side³).

Front

If a cube has a volume of 1.728 cubic feet, what is the length of one side?

Back

The length of one side is 12 feet, since 12³ = 1.728.

Front

What is the slope of a line through the points (4,5) and (2,4)?

Back

The slope is 1/2, calculated as (y2 - y1) / (x2 - x1) = (4 - 5) / (2 - 4).

Front

Which of the following is a true statement about rational numbers?

Back

Rational numbers can be expressed as the quotient of two integers.

Front

What is the formula for the slope of a line?

Back

The formula for the slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What is the relationship between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions, while irrational numbers cannot be expressed as fractions.

Front

How many 1-inch cubes can fit along one side of a cube with a volume of 216 cubic inches?

Back

6 cubes can fit along one side, since 6³ = 216.

Front

What is a terminating decimal?

Back

A terminating decimal is a decimal that has a finite number of digits after the decimal point.