adding integers rules

Adding Integers Rules

Rule #1 – If the signs are the same, pretend the signs aren’t there. Add the numbers and then put the sign in front of your answer.

Integer Addition Rules

9 + 5 = 14-9 + -5 = -14

-3 + (-5) =4 + 7 =3 + 4 =-6 + (-7) = 5 + 9 =-9 + (-9) =

Solve the Problems-8

-18 14

-13711

- +=

+ =

- +=

Solve These Problems-1- += -

1

- +=

+ =

-

Absolute Value

Absolute Value

The absolute value of a number is the distance between that number and zero on a number line. Absolute value is shown by placing two vertical bars around the number In symbols: |7| = 7 and |-7| = 7

-5 50 10-10

+7-7

Absolute Value

The distance a number is from zero on the number line.

Symbols: |2| = the absolute value of 2

-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

It takes two jumps from 0 to 2.

Start at 0, count the jumps to 2.

|2| = 2

Absolute Value

The distance a number is from zero on the number line.

Ex: |-4| =

It takes four jumps from 0 to -4.

Start at 0, count the jumps to -4.

|-4| = 4

-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

Absolute Value is ALWAYS positive because you are measuring distance.

You try:

Find the Absolute Value of the Integer

1.

2.

3.

6

14

Answers

1. 6

2. 14

3. 20

20

Rule #2 – If the signs are different pretend the signs aren’t there. Subtract the smaller from the larger one and put the sign of the larger absolute value in front of your answer.

Integer Addition Rules

-9 + 5 =9 - 5 =4Larger absolute

Value Answer = - 4

3+ (-5) = -4 + 7 = 3+ (-4) = -6+ 7 = 5+ (-9) = -9+ 9 =

Solve These Problems-25 – 3 = 2

0 -41-13

9 – 9 = 0 9 – 5 = 47 – 6 = 14 – 3 =1

7 – 4 = 3

- + = Solve This Problem

110

- =

– =

+= Solve This Problem

−1314

- =

=

-2 + = Solve This Problem

= -

- =

– =

– =

Same Sign – Add absolute values. Give answer with the sign that they have.

Different Signs – Subtract lesser absolute value from greater absolute value. Give answer the sign of the number with the greater absolute value.

Adding Integers