Adding and Subtracting Integers

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Presentation transcript:

Adding and Subtracting Integers

Integers Positive numbers and their opposites Vocabulary: INVERSE = opposite The ADDITIVE INVERSE of a number is the number that is the exact opposite on a numberline. 5 and -5 10 and -10 -6 and 6 When you add them together – they will always equal zero

You can add or subtract integers using a numberline Use a numberline You can add or subtract integers using a numberline 5 + -3 5 – 3 Same problem 5 + 3 -5 + 3 -5 + -3 -5 – 3 Same problem

9 - 11

-3 - 6

-7 + 5

Combining Integers by adding or subtracting without numberline Rethink the way you look at numbers. Think of them all as either on the positive team (positive number) or the negative team (negative number) Whose team do each of these numbers belong to? 6 -4 -55 +33 100

When putting integers together, the integers are either…… On the same team = put them together like adding ++ or -- On opposite teams = they fight each other and one team wins +- or -+

Whose team does each number belong to Whose team does each number belong to? Are they on the same team or different teams? -4 + -8 4 + 8 -4 - 8 -4 + 8 4 - 8 4 + -8

Video https://www.youtube.com/watch?v=OWMUSX40_mU&index=17&list=FLXh2pcrVXySf8FYRVXyFimw

If on the same team – put together If on different teams – fight and who wins and by how much do they win? -4 + -8 4 + 8 -4 - 8 -4 + 8 4 - 8 4 + -8

-2 + 7 Same team or different team? Who wins and by how much?

15 -19 Same team or different team? Who wins and by how much?

-6 - 9 Same team or different team? Same team – put together!

9 + 4 Same team or different team? Same team – put together!

16 - 8 Same team or different team? Who wins and by how much?

-2 -12 Same team or different team? Same team – put together!!

6 - 17 Same team or different team? Who wins and by how much?

-5 + 13 Same team or different team? Who wins and by how much?

What about 2 subtraction signs together? 8 – (-9) -6 – (-3) Remember THIS!!!!..... CLICK HERE!! 2 negatives = 1 positive

9 – (-5) 2 negatives = 1 positive!!! Same team or different team? Same team – put together!!!

-8 – (-5) 2 negatives = 1 positive!!! Same team or different team? Who wins and by how much?

-7 –(-8) 2 negatives = 1 positive!!! Same team or different team? Who wins and by how much?

Word problems Vocabulary Tell whether each word means + or - descended dove ascended owe borrow paid received spent below bought

Word problem Jack went on a submarine excursion on his cruise. The sub went down 100 feet to the ocean floor. Then it ascended 40 feet and then dove again another 22 feet. How far below the surface was the submarine now?