This document summarizes the rules for multiplying integers. It provides examples of multiplying positive and negative integers and the resulting products. The four rules are: 1) Multiplying two positive integers equals a positive product. 2) Multiplying a positive and negative integer equals a negative product. 3) Multiplying a negative and positive integer equals a negative product. 4) Multiplying two negative integers equals a positive product.

1. Meaning in Words: Representation:
Two groups of five
2 × 5 = 10
Can also mean: Product (A number resulting from multiplication):
5+5 10
Rule: A positive integer (2) multiplied by a positive
integer (5) equals a positive product (10). (+) x (+) = (+)

2. Meaning in Words: Representation:
Two groups of negative five
2 × (-5)= -10
Can also mean: Product (A number resulting from multiplication):
(-5) + (-5) -10
Rule: A positive integer (2) multiplied by a negative
integer (-5) equals a negative product (-10). (+) x (-) = (-)

3. Meaning in Words: Representation:
Subtract two groups of
five
(-2) × (5) =-10
Can also mean: Product (A number resulting from multiplication):
0 – (5) – (5) -10
*subtracting a pos. is like adding a neg. or opposite*
Rule: A negative integer (-2) multiplied by a positive
integer (+5) equals a negative product (10). (-) x (+) = (-)

4. Meaning in Words: Representation:
Subtract two groups of
negative five
(-2) × (-5)=10
Can also mean: Product (A number resulting from multiplication):
0 – (-5) – (-5) 10
*subtracting a neg. is like adding a pos. or opposite*
Rule: A negative integer (-2) multiplied by a negative
integer (-5) equals a positive product (10). (-) x (-) = (+)

5. Review of Multiplying Integers
(+) x (+) = (+); 2 x 5 = 10
(+) x (-) = (-); 2 x (-5) = -10
(-) x (+) = (-); (-2) x 5 = -10
(-) x (-) = (+); (-2) x (-5) = 10

6. Meaning in Words: Representation:
Can also mean: Product (A number resulting from multiplication):

7. Meaning in Words: Representation:
Can also mean: Product (A number resulting from multiplication):