This document defines positive and negative numbers and provides rules for adding integers. It explains that: 1) Positive numbers are greater than zero, negative numbers are less than zero, and opposite numbers are the same distance from zero in opposite directions. 2) When adding integers, if the signs are the same, add the numbers and keep the sign; if the signs are different, subtract the numbers and keep the sign of the larger number. 3) Integers can be added using a number line by counting right for positive numbers and left for negative numbers.

1. Positive and Negative Numbers
by Monica Yuskaitis

2. Definition
• Positive number – a number
greater than zero.
• Numeros positivos - son mas
Grande que 0
0 1 2 3 4 5 6

3. Definition
• Negative number – a number
less than zero.
• Numero negativo – menos de 0
0 1 2 3 4 5 6-1-2-3-4-5-6

4. Definition
• Opposite Numbers – numbers that are the
same distance from zero in the opposite
direction
0 1 2 3 4 5 6-1-2-3-4-5-6

5. Definition
• Integers – Integers are all the
whole numbers and all of their
opposites on the negative
number line including zero.
• Cada numero entero tiene su
opuesto.
7 opposite -7

6. Negative Numbers Are Used to
Measure Temperature
Se usan los numeros negativos
para medir temperaturas

7. Negative Numbers Are Used to
Measure Under Sea Level
0
10
20
30
-10
-20
-30
-40

8. Negative Numbers Are Used to
Show Debt
Let’s say your parents bought a car but
had to get a loan from the bank for $5,000.
When counting all their money they add
in -$5.000 to show they still owe the bank.
Se usan numeros negativos cuando se debe dinero.

9. Positive & Negative Numbers
Working with positive and negative numbers is like
driving in traffic. You have to watch the traffic
signs and follow the driving rules.

10. REGLAS
Hay reglas cuando se tiene que
sumar numeros con signos igual
o signos diferente.
(+) O (-) = ?

11. Integer Addition Rules
• Rule #1 – If the signs are the same,
add the numbers and keep the
same sign.
9 + 5 = 14
-9 + -5 = -14
• Si los signos son igual, se suman los
numeros y se queda el mismo signo.

12. Solve the Problems
• -3 + -5 =
• 4 + 7 =
• (+3) + (+4) =
• -6 + -7 =
• 5 + 9 =
• -9 + -9 =

13. Integer Addition Rules
If the signs are not the same,
subtract the numbers, and keep
sign of larger number.
-9 + 5 = Answer = - 4
• Si los signos NO son igual, se restan los
numeros y se usa el signo del numero
mas grande

14. Solve These Problems
• 3 + -5 =
• -4 + 7 =
• (+3) + (-4) =
• -6 + 7 =
• 5 + -9 =
• -9 + 9 =

15. One Way to Add Integers Is With
a Number Line
0 1 2 3 4 5 6-1-2-3-4-5-6
When the number is positive count
to the right.
When the number is negative count
to the left.
+-

16. One Way to Add Integers Is With
a Number Line
0 1 2 3 4 5 6-1-2-3-4-5-6
+
-
+3 + -5 = -2

17. One Way to Add Integers Is With
a Number Line
0 1 2 3 4 5 6-1-2-3-4-5-6
+
-
+6 + -4 = +2

18. One Way to Add Integers Is With
a Number Line
0 1 2 3 4 5 6-1-2-3-4-5-6
+
-
+3 + -7 = -4

19. One Way to Add Integers Is With
a Number Line
0 1 2 3 4 5 6-1-2-3-4-5-6
-
+
-3 + +7 = +4

20. One Way to Add Integers Is With
a Number Line
0 1 2 3 4 5 6-1-2-3-4-5-6
-
+
-5 + +3 = +4

21. One Way to Add Integers Is With
a Number Line
0 1 2 3 4 5 6-1-2-3-4-5-6
-
+
-2 + +8 = +6

22. One Way to Add Integers Is With
a Number Line
0 1 2 3 4 5 6-1-2-3-4-5-6
-
+
-5 + +2 = -3

23. One Way to Add Integers Is With
a Number Line
0 1 2 3 4 5 6-1-2-3-4-5-6
-
-
-4 + -2 = -6

24. One Way to Add Integers Is With
a Number Line
0 1 2 3 4 5 6-1-2-3-4-5-6
-
-
-2 + -3 = -5

25. One Way to Add Integers Is With
a Number Line
0 1 2 3 4 5 6-1-2-3-4-5-6
-
-
-1 + -4 = -5

26. One Way to Add Integers Is With
a Number Line
0 1 2 3 4 5 6-1-2-3-4-5-6
-
-
-4 + -1 = -5

27. One Way to Add Integers Is With
a Number Line
0 1 2 3 4 5 6-1-2-3-4-5-6
+
+
4 + 1 = 5

28. One Way to Add Integers Is With
a Number Line
0 1 2 3 4 5 6-1-2-3-4-5-6
+
+
3 + 2 = 5

29. One Way to Add Integers Is With
a Number Line
0 1 2 3 4 5 6-1-2-3-4-5-6
+
+
1 + 5 = 6