Download Integers and Absolute Value – Guided Notes

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Transcript
Name: ____________________________
Date: _______________Period:______
Integers and Absolute Value – Guided Notes
A. Integers are __Positive______ and ____Negative_______ whole numbers.
Examples:
-4, 6, 8, -10
*Zero is neither negative nor positive.
Arrange the following numbers in order from least to greatest.
7, -2, -4, 5, 0, 3, 1
B.
-4, -2, 0, 1, 3, 5, 7
The ____Absolute_____ ______Value_______ of a number is the distance between the number and zero on
a number line. We use the symbol _____ to represent absolute value.
Examples:
Find |-4| = 4
Find |9| = 9
Find |2| and |-13| = 2 and 13
Adding & Subtracting Integers
*Target Objective: Learn to add and subtract positive and negative numbers (integers).
A. Rules for Adding and Subtracting Positive & Negative Integers

Something you need to keep in mind before you start adding and subtracting integers:
1) We put a _____( )____________ around a negative integer so that you don’t get confused about which
sign belongs with which integer.
Ex) -2 – (-2)
Ex) 5 – (-6)
Ex) -5 + (-4)
Ex) 3 + (-1)
ADDING INTEGERS
If adding two integers with the same sign: (two positives or two negatives)
-
Add the two numbers and keep the sign.
If adding two integers with different signs: (positive and negative)
Practice:
Subtract the value of the two numbers and keep the sign of the larger value.
Ex) -5 + (-3) = -8
Ex) 2 + (-3) = -1
Ex) 5 + (-4)
Ex) -3 + 7
Ex) -2 + (-9)
Rules for Adding and Subtracting Positive & Negative Integers
Subtracting Integers


When subtracting two integers, use Keep Change Change (KCC) first!
After you use KCC, then use the song.
SONG
Same signs add the numbers,
Different signs subtract,
Take the sign of the bigger number,
Then you’ll be exact.
Ex) 1 – (-2) = 1 + 2 = 3
Ex) 2 – (-4)
Ex) -1 – (-2)
Ex) -9 – (-3)
Ex) 1 – 2 = 1 + (-2) = -1
Ex) 5 – 6
Ex) -1 – 2
Ex) -1 – 4
Check for Understanding

Can you use Keep Change Change (KCC) when you are adding integers?
A) Yes
B) No

You ONLY use Keep Change Change (KCC) when you are _______________ integers.
A) adding
B) subtracting