# Some Mathematical Symbols

## Multiplication

There are three commonly used means of indicating multiplication

• The symbol "x", e.g., 5 x 6 = 30. Note that this symbol is generally avoided in algebraic equations because of the common use of "x" to indicate an unknown quantity.
• The symbol "*", e.g., 5 * 8 = 40. The use of the asterisk to indicate multiplication is commonly used in spreadsheets (e.g., Excel) and in algerbraic expressions.
• Or simply a number next to a parenthetic expression, e.g., 5(6+2) = 40

## Division

There are three commonly used ways to indicate division.

• "/", e.g., 40/5 = 8
• "÷", e.g., 30 ÷ 5 = 6
• Division can also be indicated by placing one quantity (the numerator) over another quantity (the denominator) as shown below.

44/123 = 0.3577

## Equals (=) & Doesn't Equal (≠)

2+3 = 5

2+3 4

(Read as "doesn't equal" or "is not equal to."

## Less than (<) and greater than (>)

• The symbol < means less than. For example,

7 < 8

200 < 300

• The symbol > means greater than. For example,

6 > 4

3000 > 2750

• The symbol means less than or equal to.
• The symbol means greater than or equal to.

## Approximately Equal

• The symbol means approximately equal to.

# The Order of Math Operations

When you are given a mathematical expression or an equation, the order in which mathematical operations are performed is very important. The rules for this are quite simple. Consider the following example:

2 + (7+3) * 32 + 4* (3-1) + 10

At first this may look daunting, but it is really quite simple. The rules are: summarized in the table below.

 Order of Operations Solve within Parentheses and Brackets from the inside out Compute Exponents Perform Multiplication and Division in the order they appear. Perform Addition and Subtraction in the order they appear..

So, for the example above your would:

1. Solve within parentheses
2. Compute exponents
3. Perform multiplication and division