# Negatives Basics
Positive = any number greater than zero
Positive numbers are not usually accompanied by a preceding + sign. $\bf\displaystyle\frac{1}{2}$, $\bf\displaystyle1\frac{1}{2}$,  37,  215,  etc.

Negative = any number less than zero
Negative numbers are usually accompanied by a preceding – sign.
-215,  -37,  – $\bf\displaystyle1\frac{1}{2}$,  – $\bf\displaystyle\frac{1}{2}$,  etc.

–  is the negative sign. is the negative command.

Signs
Two consecutive negative signs produce a positive sign.
– -3 = +3 = 3

A negative sign adjacent to a positive sign produces a negative sign.
– +3 = -3
+ -3 = -3

The sum of a negative and a positive can be negative, positive, or zero.
-5 + 3 = -2
3 + -5 = -2
-5 + 9 = 4
9 + -5 = 4
-6 + 6 = 0
6 + -6 = 0

Calculator Click What You See Comment blinker clears screen 5 + 3 5+3 –2 Answer blinker clears screen
3 + 5 3+5 –2 Answer blinker clears screen 5 + 9 –5+9 4 Answer blinker clears screen
9 + 5 9+5 4 Answer blinker clears screen 6 + 6 –6 + 6 0 Answer blinker clears screen
6 + 6 6 + –6 0 Answer
###### Negatives

Subtraction
The difference between a negative and a positive is a negative.
-5 – 3 = -8

The difference between a positive and a negative can be positive or zero.
3 – -5 = 8
3 – -3 = 0

The difference between a negative and a negative can be negative, positive, or zero.
-5 – -3 = -2
-3 – -5 = 2
-6 – -6 = 0

Calculator Click What You See Comment blinker clears screen 5 – 3 5-3 –8 Answer blinker clears screen
3 – 5 3-5 8 Answer blinker clears screen
3 – 3 3-3 0 Answer blinker clears screen 5 – 3 5-3 –2 Answer blinker clears screen 3 – 5 3-5 2 Answer blinker clears screen 6 – 6 6-6 0 Answer
###### Negatives

Multiplication
Negative × Positive = Negative
Positive × Negative = Negative
-5 × 3 = -15
5 × -3 = -15

Negative × Negative = Positive
-5 × -3 = 15
-3 × -5 = 15

Negative × Zero = Zero
Zero × Negative = Zero
-6 × 0 = 0
0 × -6 = 0

Calculator Click What You See Comment blinker clears screen 5 × 3 5*3 15 Answer blinker clears screen
5 × 3 5*3 15 Answer blinker clears screen 5 × 3 5*3 15 Answer blinker clears screen 3 × 5 3*5 15 Answer blinker clears screen 6 × 0 6*0 0 Answer blinker clears screen
0 × 6 0*6 0 Answer
###### Negatives

Division
Negative ÷ Positive = Negative
Positive ÷ Negative = Negative
-15 ÷ 3 = -5
15 ÷ -3 = -5

Negative ÷ Negative = Positive
-15 ÷ -3 = 5
-15 ÷ -5 = 3

Zero ÷ Negative = Zero
Negative ÷ Zero = Undefined
0 ÷ -6 = 0
-6 ÷ 0 = Undefined

Calculator Click What You See Comment blinker clears screen 15 ÷ 3 15÷3 5 Answer blinker clears screen
15 ÷ 3 15÷3 5 Answer blinker clears screen 15 ÷ 3 15÷3 5 Answer blinker clears screen 15 ÷ 5 15÷5 3 Answer blinker clears screen
0 ÷ 6 6 0 Answer blinker clears screen 6 ÷ 0 6÷0 DIVIDE BY 0
Error
###### Negatives

Practice – Questions
1.  What is -7 + 15?

2.  What is 6 + -11?

3.  What is -13 – 8?

4.  What is -4 – -9?

5.  What is -12 × 13?

6.  What is -14 × -15?

7.  What is -169 ÷ 13?

8.  What is -144 ÷ -12?

9.  What is -8 + -4 × -12 ÷ -6?

10.  What is -8 – -4 × -15 ÷ -6?

1.  8

2.  -5

3.  -21

4.  5

5.  -156

6.  210

7.  -13

8.  12

9.  -16

10.  2