Algebra: Chapter 3-1 and 3-2
The Addition and Multiplication Properties of Equality
You can add, subtract, multiply or divide the same number to both sides of an equation and get an equivalent equation. We call these the addition and multiplication property of equality.
If `a=b`, then `a+c = b+c` and if `a=b`, then `ac=bc`
Subtraction and division are opposites of addition and multiplication, so we have no problems there. There are lots of examples at my favorite site, Purplemath, give these a look! Remember to show ALL the STEPS and that you can do these either vertically or horizontally. DON’T TAKE SHORTCUTS!
Intro to Algebra: Chapter 2-2
Rational Numbers
Any numbers that can expressed as the ratio of 2 integers are called RATIONAL NUMBERS. Rational numbers are part of a larger set of numbers called the REAL numbers. Here is a quick picture:
- Real Numbers
- Rational Numbers
- Integers (negative integers, zero, positive integers)
- Natural Numbers (are positive integers)
- Whole Numbers (are zero and positive integers)