1. The Decimal Number System
Chapter 1
The Decimal Number System

2. The System Decimal refers to 10 10 symbols specifically 0 – 9 Example
In the number 5,264
What weight does the 2 have
What weight does the 4 have
What weight does the 5 have
What weight does the 6 have

3. The System
Bill R. Deem and Tony Zannini Electronics and Computer Math, Eighth Edition
Copyright ©2006 by Pearson Education, Inc. Upper Saddle River, New Jersey All rights reserved.

4. Decimal Fractions A fraction with either Examples
Ten or a multiple of ten as the denominator
10, 100, 1000, etc
Examples
9 thousands = 9/1000
= 3.9/10000 = 39/100,000 = 390/1M
= 57 45/1000
27 7/100 = 27.07

5. Rounding Off Numbers Common in problem solving Examples
Simplifies calculation of approximate answer
Used to eliminate precision that exceeds resolution of accuracy
Examples
Round 72, 348 to nearest tens = 72,350
Round to nearest tenth and ten
Yields: and 50

6. Operations on Signed Numbers
Addition & Subtraction
Signed numbers per Number Line
6-3 = 3 OR 6 + (-3) = 3
Multiplication and Division
Few and simple rules for sign numbers

7. Operations on Signed Numbers
Multiplication and Division
Rules for Signed Numbers
( + ) * ( + ) = ( + )
( + ) * ( - ) = ( - )
( - ) * ( + ) = ( - )
( - ) * ( - ) = ( + )
Change denominators to reciprocals and the same rules apply to division

8. Order of operations Definitions Order of Operations
Mathematical Term - Quantity preceded by a ‘+’ or ‘-’ sign
Mathematical Expression – quantity with one or more terms
Order of Operations
Without ( ) or other grouping signs
Do multiplications/divisions first for all terms
Then add/subtract the terms

9. Order of operations Order of Operations
With ( ) or other grouping signs
In the inner most grouping
Do multiplications/divisions first for all terms
Then add/subtract the terms
Remove inner most grouping marks
Repeat above step until resolved