Rational Numbers and Equations

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 the volume of a cube with edge length 'a'?

Back

The volume of a cube is calculated using the formula V = a³, where 'a' is the length of one edge.

Front

How do you solve the equation -0.2(x - 20) = 44 - x?

Back

To solve, distribute -0.2, combine like terms, and isolate x. The solution is x = 50.

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.

Front

How do you estimate a population to the nearest ten million?

Back

Round the population number to the nearest multiple of ten million.

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form, using powers of ten.

Front

Convert 0.0000000345 to scientific notation.

Back

3.45 × 10^-8.

Front

What is the formula for the surface area of a cube?

Back

The surface area of a cube is calculated using the formula SA = 6a², where 'a' is the length of one edge.

Front

What is the difference between a rational and an irrational number?

Back

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

Front

How do you find the edge length of a cube given its volume?

Back

To find the edge length, take the cube root of the volume: a = V^(1/3).