# Basic math principles

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1. Integers
• - Whole number
• - positive or negative
• - 0 is an integer (neither positive or neg)

*does not include fractions
2. Consecutive Integers
Listed in increasing size w/o any integers missing in between

• Formula:
• n, n+1, n+2, n+3, etc...

Even: -2, 0,2,4,6,8

Odd: -3, -1, 1, 3, 5
3. Distinct
mathematical way of saying "different"

• ex. Count the distinct prime factors of 12 = 2 and 3
• 12 = 2 x 2 x 3 (can only count 2 once)
4. Digits
Ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

All digits are integers

Most likely: count digits or supply the missing digits
5. Prime numbers
Divided evenly only by itself and i

All prime number are positive
6. Positive & Negative
• Multiplication
• pos x pos = pos

pos x neg = neg

neg x neg = pos

• pos + neg = 4 + (-3) = 1

neg + neg = -3 + -5 = -8 (treat it like pos)
7. Odd & Even
• Even - divided by 2
• ~ 0 is considered even

Odd - can not be divided evenly by 2

• even x even = even
• odd x odd = odd
• even x odd = even

• even + even = even
• odd + odd = even
• even + odd = odd
8. Prime number
- positive integer that can be divided evenly only by two distinct factors: 1 and itself

- neither 1 or 0 is prime

- all primes are positve
9. Factors and Multiples
"Factors are few; multiples are many"

• Factor - divided evenly into a number
• Multiple - result of a number mutiplying another

• Example:
• Factors of 15 = 1, 3, 5, 15
• Multiple = 15 is a multiple of 3; 12 is a multiple of 3
10. Absolute Value
distance between the number and 0
11. Divisibility Rules
Useful divisibility shortcuts:

2 - unit digit can be divided evenly by 2

3 - sum of digits can be divided by 3 easily

4 - the last two digits of the number can be divided by 4

5 - final digit is either 0 or 5

6 - if it divisible by both 2 and 3
 Author: b.redsangria ID: 6564 Card Set: Basic math principles Updated: 2010-03-06 19:04:44 Tags: definitions Folders: Description: basic math Show Answers: