Adding Integers The Positive and Negative of it All…

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Adding Integers

0…-5,-4,-3,-2,-11,2,3,4,5...

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The Positive and Negative of it All…

Get It! Got It! GREAT!

Integers

What is an Integer?Integers are all the whole numbers greater than zero: 1, 2, 3, 4, 5… and their opposite numbers less than zero: -1,-2,-3,-4,-5…Integer is 17 Opposite is -17

Integer is -8Integer is 23

Opposite is 8Opposite is -23

Integers

Integers on a Number Line

0…-5,-4,-3,-2,-11,2,3,4,5...

Negative Integers are opposite whole numbers less

than zero: -1,-2,-3,-4,-5…

Positive Integers are whole numbers greater than zero: 1,2,3,4, 5…

Integers

How to add positive & positive integers

3 5+Positive Integers are whole numbers greater than zero: 1,2,3,4, 5…

Integers

They are BOTH positive Therefore… add numbers

And

KEEP IT POSITIVE!

3 5+1 2

3 4 56 7

8

Integers

-3 5+

How to add negative & negative integers

• Negative Integers are opposite whole numbers

less than zero: -1,-2,-3,-4,-5…

They are BOTH negative Therefore… add numbers

And

KEEP IT NEGATIVE!

Integers

-3 -5+ -1-2

-3-4-5-6-7-8

Integers

How to add negative & positive integers

-3 5+

Integers

Notice how positive and negatives are opposites going two different

directions

-1

1

Notice how positive and negative touch ends or points but don’t point in the same direction.

Integers

…-5,-4,-3,-2,-1 1,2,3,4,5...0

00

Integers

Positive 1/negative -1 cancel out to zero.

0 0As pernumber line

1

-1

Positive 1/positive 1 & negative -1/negative -1follow the same direction and increase 2 or decrease -2.-1+ -1=

-21+1= 2

Integers

-3 5+Adding negative & positive

integers

Integers

-3 5+1

5-3=25 is bigger and positive so answer must be positive.

200 0

Hint: Subtract both numbers and keep the sign of the bigger whole number.

Integers

Subtracting IntegersAdding and subtracting integers is almost identical. We convert the subtraction symbol to addition and give the following number its opposite sign.

5 - 7Change – to + and opposite of 7 is -7

5 + -7

-2 - 3

= -2

-2 + -3

= -5Change – to + and opposite of 2 is -2 -2 – -8 -2 +

8= 6

Change – to + and opposite of -8 is 8

References

Copyrighted and created by Susan Blakely