Properties of Real Numbers

Math. hhahahhaahaa

Closure Under Addition

The sum/answer of two R’s is always another R

For Example: a + b = c

Closure Under Multiplication

The product/answer of two R’s is always another R

For Example: a x b = c

Commutative Property of Addition

The order in which you add two R’s does not change the answer/sum

For Example: a + b = b + a

Commutative Property of Multiplication

The order in which you multiply two R’s does not change the answer/product

For Example: a x b = b x a

Associative Property Of Addition

When adding three or more R’s, the way you regroup them using ( ) does not change the sum

For Example: (a + b) + c = a + (b + c)

Associative Property Of Multiplication

When multiplying three or more R’s, the way you regroup them using ( ) does not change the product

For Example: (a x b) x c = a x (b x c)

Distributive Property

Multiplying a number by a sum is the same as multiplying the

number by each term in the sum and then adding the products.

For Example: a(b + c) = (a x b) + (a x c)

Multiplicative Property of Zero

Multiplying a R to 0, results to 0.

For Example: a x 0 = 0

Additive Inverse

Every R has an Additive Inverse, that when added, results to 0

For Example: A + -A = 0

Multiplicative Inverse

Every non-zero R has their Multiplicative Inverse or reciprocal, that when multiplied, results to 1

For Example: 5 × 1/5 = 1