Transcript MATH 0960/1.10

Properties of the Real Number
System
FOR ADDITION: The order in which any
two numbers are added does not
change the sum.
FOR MULTIPLICATION: The order in
which any two numbers are
multiplied does not change the
product.
FOR ADDITION: When adding 3 or more
numbers, grouping symbols can be placed
around any 2 numbers without changing
the sum.
FOR MULTIPLICATION: When multiplying 3 or
more numbers, grouping symbols can be
placed around any 2 numbers without
changing the product.
When a number is multiplied to a sum (in
parentheses): multiply each number inside
the parentheses by the number outside.
Examples:
1. 3(x + 5)
2. -3(4x – 6)
3. ½ (6x + 4)
4. -(9x – 3)
FOR ADDITION: Adding zero to any number
does not change the number.
FOR MULTIPLICATION: Multiplying any
number by one does not change the
number.
FOR ADDITION: The sum of any number and
its opposite is zero.
EX: Find the additive inverse…
FOR MULTIPLICATION: The product of any
number and its reciprocal is one.
EX: Find the multiplicative inverse…