Pre-Algebra Demystified

SOLUTION

5 þ 23 
 3  4 exponent

¼ 5 þ 8 
 3 4 multiplication

¼ 5 þ 8 
 12 addition

¼ 13 
 12 subtraction

¼ 1

EXAMPLE

Simplify 42
(8
6) 22.

SOLUTION

42 
ð 8 
 6 Þ 22 parentheses

¼ 42 
 2  22 exponent

¼ 42 
 2  4 multiplication

¼ 42 
 8 subtraction

¼ 34

EXAMPLE

Simplify 19þ(6
3)^2 
 18 2.

SOLUTION

19 þð 6 
 3 Þ^2 
 18 2 parentheses

¼ 19 þð 3 Þ^2 
 18  2 exponent

¼ 19 þ 9 
 18  2 division

¼ 19 þ 9 
 9 addition

¼ 28 
 9 subtraction

¼ 19

PRACTICE

Simplify each of the following:

1. 3
   22 þ 5


2. 6 3  2


3. 32
   (62)^2 þ 15  3


4. 8^2
   3  4  2


5. 7^3 þ(2 52
   4) 2

ANSWERS

1. 4


2. 4

34 CHAPTER 2 Integers