Download Integers – the set of whole numbers and their opposites. Absolute

Integers – the set of whole numbers and their opposites.
Absolute Value – the distance away from zero on the number line. The
absolute value of +5 is 5. The absolute value of -5 is also 5. The symbol
for absolute value is 2 vertical bars: |+5| = 5 and |-5| = 5.
Opposites – two opposite integers always add up to zero. The integers
+3 and –3 are opposites. Zero is its own opposite because 0 + 0 = 0.
Zero Pair – a positive tile and a negative tile put together to make zero.
Comparing – integers on the right (on the number line) are larger, and
integers on the left are smaller.
5 > -3 2 > -4
0 > -2 -5 < 1
Adding
• If the signs are the same, add absolute values and keep the sign.
–3 + -5 = -8
2+4=6
• If the signs are different, subtract absolute values and use the
sign from the larger absolute value. –3 + 7 = 4
3 + -7 = -4
Subtracting
• First “add the opposite” (also called “keep, change, change”) then
follow the addition rules.
–5 - +3 = ?
-5 + -3 = ?
-8
(Keep the –5, change subtraction to addition, change the +3 to –3)
Multiplying and Dividing
• First multiply or divide the absolute values as you normally would.
Then, if the signs were the same, the answer is positive. If the
signs were different, the answer is negative.
positive x positive = positive
positive x negative = negative
negative x positive = negative
negative x negative = positive
+2 x +3 = +6
+2 x –3 = -6
-2 x +3 = -6
-2 x –3 = +6
yes!