PROPERTIES OF THE OPERATIONS ON INTEGERS

It includes the 8 properties on integers

1. Find the six hidden words that make up the Properties of the Operations on Integers.

2. Properties of the Operations on Integers Closure Commutative Associative Distributive Identity Inverse

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

4. Commutative Property This property states that changing the order of the addends does not affect the sum. 6 + 4 = 4 + 6 (-6) + 4 = 4 + (-6)

5. 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]

6. Distributive Property This property states that when two numbers have been added/subtracted and then multiplied by a factor, the result will be the same when each number is multiplied by the factor and the products are then added/subtracted. -2 (4 + 3) = (-2 x 4) + (-2 x 3) 2 (4 - 3) = (2)(4) - (2)(3)

7. Identity Property for Addition states that the sum of any number and zero is the number itself. 5 + 0 = 5 0 + (-4) = -4

8. 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

9. Inverse Property for Addition states that the sum of any number and its additive inverse is zero. 10 + (-10) = 0 -6 + 6 = 0

10. Inverse Property for Multiplication states that the product of any number and its multiplicative inverse or reciprocal is 1. 4 x 1/4 = 1 -8 x (-1/8) = 1

11. Group activity

12. THINK OF THIS!