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Integers Integers are positive (+) and negative(-) numbers. Negative Integers represent a loss or a decrease. (Ex. -5, -18, -345,...) Positive Integers

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Page 1: Integers Integers are positive (+) and negative(-) numbers. Negative Integers represent a loss or a decrease. (Ex. -5, -18, -345,...) Positive Integers
Page 2: Integers Integers are positive (+) and negative(-) numbers. Negative Integers represent a loss or a decrease. (Ex. -5, -18, -345,...) Positive Integers

IntegersIntegers are positive (+) and

negative(-) numbers.

Negative Integers represent a loss or a decrease. (Ex. -5, -18, -345, ...)

Positive Integers represent a gain or an increase. ( Ex. +3, +25, +467, ...)

Page 3: Integers Integers are positive (+) and negative(-) numbers. Negative Integers represent a loss or a decrease. (Ex. -5, -18, -345,...) Positive Integers

Positive Integers

Emmit Smith gained 25 yards on his last play.

The elevator went up 6 floors.

The level of the pool water rose 3 inches after the big rain.

The babies weight increased 5 lbs. in the first two months.

+ 25

+6

+3

+5

Page 4: Integers Integers are positive (+) and negative(-) numbers. Negative Integers represent a loss or a decrease. (Ex. -5, -18, -345,...) Positive Integers

Negative Integers

Clarisse lost 12 pounds on her diet.

Jack walked down 6 floors in his apartment building.

The temperature on Saturday decreased

10 degrees after the storm.

-12

-6

-10

Page 5: Integers Integers are positive (+) and negative(-) numbers. Negative Integers represent a loss or a decrease. (Ex. -5, -18, -345,...) Positive Integers

Label each either positive or negative…

1) Profit of $5 9) Increase of 9 yards2) Win $10 10) Withdraw $403) Decrease of 6 degrees 11) Spend $154) Rise of 8 degrees 12) Minus 9 inches 5) Earn $12 13) Back/backwards 4

yards6) Lose 3 lbs 14) Deposit $ 807) Fall in price of $25 15) Bonus of $508) Plus 20 pounds 16) Gain of 15 yards

Page 6: Integers Integers are positive (+) and negative(-) numbers. Negative Integers represent a loss or a decrease. (Ex. -5, -18, -345,...) Positive Integers

Opposite Integers

0-4 -3 -2 -1 +1 +2 +3 +4 +5

Integers that are the same distance from zero are OPPOSITE integers.

-3 +3

-3 and +3 are opposites because they are both 3 units from zero

3 units 3 units

Page 7: Integers Integers are positive (+) and negative(-) numbers. Negative Integers represent a loss or a decrease. (Ex. -5, -18, -345,...) Positive Integers

Absolute Value

0-4 -3 -2 -1 +1 +2 +3 +4 +5

The absolute value of a number tells how far an integer is from zero.

The symbol for absolute value is I I

I 2 I = I - 4 I = 2 units from zero 4 units from zero

Page 8: Integers Integers are positive (+) and negative(-) numbers. Negative Integers represent a loss or a decrease. (Ex. -5, -18, -345,...) Positive Integers

Absolute Value

0-4 -3 -2 -1 +1 +2 +3 +4 +5

Find the absolute value of :

I - 25 I I 43 I I - 768 I= 25 = 43 = 768

Page 9: Integers Integers are positive (+) and negative(-) numbers. Negative Integers represent a loss or a decrease. (Ex. -5, -18, -345,...) Positive Integers
Page 10: Integers Integers are positive (+) and negative(-) numbers. Negative Integers represent a loss or a decrease. (Ex. -5, -18, -345,...) Positive Integers
Page 11: Integers Integers are positive (+) and negative(-) numbers. Negative Integers represent a loss or a decrease. (Ex. -5, -18, -345,...) Positive Integers

Comparing

Positive Integers are like money you have.

The higher the positive number the richer you are.

Negative Integers are like money you owe. The higher the negative number the poorer you are

Page 12: Integers Integers are positive (+) and negative(-) numbers. Negative Integers represent a loss or a decrease. (Ex. -5, -18, -345,...) Positive Integers

Integers on a Number Lin e

0-4 -3 -2 -1 +1 +2 +3 +4 +5

biggersmaller

Which is greater? -8 or +2Which is greater? +5 or +3Which is smaller? -4 or -10Which is smaller? -6 or 0Positives are always greater than negatives.

Page 13: Integers Integers are positive (+) and negative(-) numbers. Negative Integers represent a loss or a decrease. (Ex. -5, -18, -345,...) Positive Integers

OppositesPositive integersPositive integers have an opposite

Negative integer. Opposites are the same distance from 0 on the

number line in opposite directions.

Ex.opposite of -16 _______opposite of +4 _______ opposite of -67 _______opposite of +35 _______

Page 14: Integers Integers are positive (+) and negative(-) numbers. Negative Integers represent a loss or a decrease. (Ex. -5, -18, -345,...) Positive Integers

OrderThe number line can also help you put integers in

order.

If the numbers are written down as they would If the numbers are written down as they would appear on the number line, they will be in order appear on the number line, they will be in order from least to greatestfrom least to greatest.

-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6

Order from least to greatest.

-2 +5 +1 -7 0 -4 +6

Page 15: Integers Integers are positive (+) and negative(-) numbers. Negative Integers represent a loss or a decrease. (Ex. -5, -18, -345,...) Positive Integers

How did you do?

-7, -4, -2, 0, +1, +5, +6-7, -4, -2, 0, +1, +5, +6

Good Job!!!!!Good Job!!!!!

Page 16: Integers Integers are positive (+) and negative(-) numbers. Negative Integers represent a loss or a decrease. (Ex. -5, -18, -345,...) Positive Integers