Adding Integers

Objective:  add integers

Vocabulary:  additive inverse, zero pair, integers, addends, additive identity
Integers is another name for the whole numbers and their opposites:  Example (. . . . -3, -2, -1, 0, 1, 2, 3, . . )  Each negative integer has a positive opposite and each positive integer has a negative opposite.  Example  positive 3 negative opposite -3

Rules For Adding Integers

1.  A dd the positive integers. 

If both integers are positive, just add the numbers.

Example:  7 + 11 =

Add the integers  7 + 11 = 18

7 + 11 = +18

Use the sign of the numbers

 

 

2.  If both integers are negative, then add the negative integers without the signs.  The answer will be negative.  

Example:  -7 + (-11) =

Add the integers  7 + 11 = 18

-7 + (-11) = -18

Use the sign of the number

 

3.  If one integer is negative and one integer is positive, subtract the two numbers. The answer will be the sign of the larger absolute value.

Example:  -7 + 11 =

Subtract the two numbers   11 - 3 = 4

- 7 + 11 = +4

Use the sign of the larger number's absolute value

If there is no sign in front of the number it is understood to be positive.

Practice

1.  2 + 4 =

2.  -7 + -3 =

3.  -3 + 4 =

4.  23 + (-12) =

5.  98 + (-15) =

Check your answers

Remember:  When the signs are the same  ( +,+ or -,-) you add and use the sign in front of the numbers for the answer.  When the signs are different ( +, - or -,+) you subtract and take the sign of the number with the larger absolute value.

Play a Game for Practice!

Take a Quiz to Test your Skills

Answers

1. 6 2. - 10  3. + 1  4. + 11  5.  + 83