Find the six hidden words that make up the Properties of the

Operations on Integers.

If a and b are two integers: (a + b), (a -b), and (a x b) is also an integer.

This property states that changing the order of the addends does not affect

the sum.

6 + 4 = 4 + 6

(-6) + 4 = 4 + (-6)

Associative Property

This property states that changing the grouping of numbers being added does

not change its value.

(6 + 2) + 1 = 6 + (2 + 1)

[6 + (-2)] + 3 = 6 + [(-2) + 3]

Distributive Property

This property states that when two numbershave been added/subtracted and thenmultiplied by a factor, the result will be the samewhen each number is multiplied by the factorand the products are then added/subtracted.

-2 (4 + 3) = (-2 x 4) + (-2 x 3)

2 (4 - 3) = (2)(4) - (2)(3)

Identity Property for Addition states that the sum of any number and zero is

the number itself.

5 + 0 = 5 0 + (-4) = -4

Identity Property for Multiplication states that the product of any number

and one is the number itself.

8 x 1 = 8 1 x (-9) = -9

Inverse Property for Addition states that the sum of any number and its

additive inverse is zero.

10 + (-10) = 0-6 + 6 = 0

Inverse Property for Multiplication statesthat the product of any number and itsmultiplicative inverse or reciprocal is 1.

4 x 1/4 = 1 -8 x (-1/8) = 1

THINK OF

THIS!