Simplified Basic Mathematics

**Area of a circle**: pi multiplied by radius squared

**Circumference of a circle**: pi multiplied by diameter or 2 multiplied by pi multiplied by radius

**Area of a triangle**: base of triangle multiplied by height of triangle divided by two

**Surface area of a cube**: 6 multiplied by a side squared

**Surface are of a rectangular prism**: 2 multiplied by length multiplied by width plus 2 multiplied by length multiplied by height plus 2 multiplied by width multiplied by height

**Surface area of a cylinder**: 2 multiplied by pi multiplied by radius multiplied by height plus 2 multiplied by pi multiplied by radius squared

**Pythagorean Thereoum**: base squared plus length squared equals hypotenuse squared

**Rational numbers**: includes whole numbers, integers, positive and negative fractions, decimals as well as repeating decimals

**Irrational numbers**: numbers that cannot be written as a fraction

Use PEDMAS in all equations. It is the order that you should be solving the problem.

**PEDMAS:** parentheses, exponents, division and multiplication (from left to right), addition and subtraction (from left to right)

A number divided by itself equals one.

All whole numbers have a power of one.

Any number divided by 0 is undefined since anything times zero would never equal anything but zero.

ex. 5 ÷ 0 = undefined since 0 x 5 can never = 5

0 divided by any number is 0.

ex. 0 ÷ 5 = 0 since 0 x 5 = 0

When dividing or multiplying by a negative to solve an equation, you must flip the inequality sign.

**Scale factor**: diagram divided by original

**Area of a circle**: pi multiplied by radius squared

**Circumference of a circle**: pi multiplied by diameter or 2 multiplied by pi multiplied by radius

**Area of a triangle**: base of triangle multiplied by height of triangle divided by two

**Surface area of a cube**: 6 multiplied by a side squared

**Surface are of a rectangular prism**: 2 multiplied by length multiplied by width plus 2 multiplied by length multiplied by height plus 2 multiplied by width multiplied by height

**Surface area of a cylinder**: 2 multiplied by pi multiplied by radius multiplied by height plus 2 multiplied by pi multiplied by radius squared

**Pythagorean Thereoum**: base squared plus length squared equals hypotenuse squared

**Rational numbers**: includes whole numbers, integers, positive and negative fractions, decimals as well as repeating decimals

**Irrational numbers**: numbers that cannot be written as a fraction

Use PEDMAS in all equations. It is the order that you should be solving the problem.

**PEDMAS:** parentheses, exponents, division and multiplication (from left to right), addition and subtraction (from left to right)

A number divided by itself equals one.

All whole numbers have a power of one.

Any number divided by 0 is undefined since anything times zero would never equal anything but zero.

ex. 5 ÷ 0 = undefined since 0 x 5 can never = 5

0 divided by any number is 0.

ex. 0 ÷ 5 = 0 since 0 x 5 = 0

When dividing or multiplying by a negative to solve an equation, you must flip the inequality sign.

**Scale factor**: diagram divided by original