Transcript Working With Integers

Working With Integers
Review
Working with Integers
 What
are integers?
– Integers are made up of three groups of
numbers:
The
positive integers (+)
The negative integers (-)
zero
Working with Integers
 When
lives?
do we use integers in our daily
Multiplying and Dividing
 When
you multiply or divide two
positive values, the answer is always
POSITIVE.
(+)(+) = (+)
 When
you multiply or divide two
negative values, the answer is
always Positive.
(-)(-) = (-)
Multiplying and Dividing
 When
you multiply or divide a
positive value and negative value,
the answer is always NEGATIVE.
(+)(-) = (-)
Adding and Subtracting
 When
adding two positives, the
answer is always positive.
 When
adding two negatives, the
answer is always negative. (Just add
the two numbers, and put a negative
sign in front.)
Adding and Subtracting Adding and
Subtracting
 When
adding a positive and a
negative, the answer will be positive
if the largest number is positive, or it
will be negative if the largest number
is negative.
-23 + 13 = +/-??
23 + -13 = +/-??
Adding and Subtracting
 When
you are adding or subtracting
a negative, you will have two signs
beside each other. Circle them and
decide whether that means you add
or subtract.
4 + (-3) = ?? means 4 +/- 3 ???
4 – (-3) = ?? means 4 +/- 3 ???
Don’t forget…

When subtracting a negative, you change
the two negatives to a positive sign!!
15 – (-5) = 15 + 5 = ??

A helpful hint… If you have difficulties with
integers, think about the values as money
(negative: owing and positive: receiving)
Try these… Write an integer to
represent each description.
1.
2.
3.
4.
5.
6.
7.
The opposite of 267.
One hundred seventeen feet above sea
level.
12 degrees below zero.
A pay cut of $6000.
Withdraw $983 from an ATM machine.
12 units to the left of -2 on a number
line.
A gain of ten pounds.
Answers
1.
2.
3.
4.
5.
6.
7.
-267
117
-12
-6000
-983
-14
+10
Try These…Put the integers in
order from least to greatest.
-18, -47, 18, 11, -4, 16, -21, -44
Answer
 -47,
-44, -21, -18, -4, 11, 16, 18
Try These…
1.
2.
3.
4.
5.
6.
7.
8.
9.
(-6) + (-2) =
(-12) / (-3) =
(-6) – (-2) =
-7 / 1 =
2 – (-2) =
(-3)(-2) =
(-4) + (-7) =
(-6) – (-8) =
(4)(-2) =
Solutions!
1.
2.
3.
4.
5.
6.
7.
8.
9.
(-6) + (-2) = -8
(-12) / (-3) = +4
(-6) – (-2) = -4
(-7) / (+1) = -7
(+2) – (-2) = +4
(-3)(-2) = +6
(-4) + (-7) = -11
(-6) – (-8) = +2
(4)(-2) = -8
Homework
 Complete
the given worksheets for
homework!