# Integers by ert554898

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```									    If people do not believe
mathematics is simple, it is only
because they do not realize how
complicated life is.

- John Louis von Neumann
Integers

By: Mrs. Stewart
What are they?
 The positive and negative whole numbers,
including zero.

…-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5…
 Same sign: Add the #s; keep the sign.

-4 + -2 =
6+9=

 Different signs: Subtract the #s; keep the sign of
the larger number.

-11 + 19 =
-27 + 25 =
Subtracting Integers
 “Keep-Change-Change.”

-9 – 4 = ?    (Keep-Change-Change)
-9 + -4 = -13
Multiplying or Dividing Integers
 Same sign: Multiply or divide the #s, sign is
positive.

9 * 4 = 32                         -9 * -4 = 32
12 ÷ 3 = 4                         -12 ÷ -3 = 4

 Different signs: Multiply or divide the #s, sign is
negative.

-3 * 3 = -9                        18 ÷ -9 = -2
Special Note
   Anything multiplied or divided by 1 is itself.
   Anything multiplied by 0 is 0.
   0 divided by a number is still zero.
   You cannot divide a number by zero.
   The use of calculators makes it easy to
forget the rules for integers, but they are
important to memorize. Reason being, we
do not always have a calculator handy.
Real-World Example
 Thomas made \$180 for 9 days worth of work.
How much does Thomas make a day?
Additionally, if he deposits his check into his
checking account that has a balance of -\$173, will
he have a positive balance.

180 ÷ 9 = 20
Thomas earns \$20 a day.

180 + -173 = 7
Yes, Thomas has a positive balance.

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