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Part IV: Mathematics Review

For example:

2

10 - 3 # 6 + 10 + ^6 + 1h#

4 =

2

10 - 3 # 6 + 10 + ^7h

# 4 = (parentheses first)

10 - 3 # 6 + 100 + ^7h

# 4 = (powers next)

10 - 18 + 100 + 28 = (multiplication, or division)

- 8 + 100 + 28 = (addition/subtraction, left to right)

92 + 28 = 120

An easy way to remember the order of operations after parentheses is: Please My

Dear Aunt Sarah (Powers, Multiplication, Division, Addition, Subtraction).

Arithmetic Mean or Average

To find the average of a group of numbers:

1. Add them up.

2. Divide by the number of items you added.

For example:

What is the average of 10, 20, 35, 40, and 45?

10 + 20 + 35 + 40 + 45 = 150

150 ' 5 = 30

The average is 30.

What is the average of 0, 12, 18, 20, 31, and 45?

0 + 12 + 18 + 20 + 31 + 45 = 126

126 ' 6 = 21

The average is 21.

What is the average of 25, 27, 27, and 27?

25 + 27 + 27 + 27 = 106

126 ' 4 = 26 1

⁄2

The average is 26 1 ⁄2.

210

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