UNIT 2.1  REPRESENTING INTEGERS
WHAT WE NEED TO KNOW
 The concept of zero pairs
 The difference between whole numbers and decimal numbers
 How to use algebra tiles, and what each shape and colour represents
 The difference between whole numbers and decimal numbers
 How to use algebra tiles, and what each shape and colour represents
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what are integers?
INTEGERS are all whole numbers, positive and negative, including zero. Fractions and decimals are NOT integers.
Opposite integers
Opposite integers, when combined, make ZERO PAIRS:
Last unit, we learned how to make ZERO PAIRS with algebra tiles. Let's review:
Examples of zero pairs with tiles:
general rules for "combining" integers
These rules are really important to understand, but do not worry, we will revisit them very soon. If we understand them well, you may not have to rely on algebra tiles to add or subtract integers.

LIKESIGNS get grouped together:
 Positives with positives result in a more positive number (they add): (+ 7) grouped with (+3) = 10  Negatives with negatives result in a more negative number (they add): (7) grouped with (3) =  10 OPPOSITE SIGNS do not like to combine: They cancel each other out making ZERO PAIRS (subtracting each other) 
representing integers with tiles
Using the concept of ZERO PAIRS, we can model integers in many ways. Let's look at some examples:
Let's look at ways we can represent +6 using the concept of ZERO PAIRS:
As you can see, we started with 9 yellow tiles, and by bringing in 3 red tiles, 3 zero pairs were made and subsequently eliminated, which left 6 yellow tiles, or +6.
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