**Operations with Integers**

**Subtracting Integers**

The key is to remember that the minus forces the numbers to move in the opposite direction:

Multiplying Integers

Remember that multiplication is repeated addition. This works in either direction on a number line,

Dividing Integers

**Adding Integers**

On a number line you can think of addition of a pair of movement.

- 1 + -2 = -3

5+-4 = 1

-3 + 7 = 4

Same Signs

To add integers with the same signs, add their absolute value and then...

If both integers are positive, the result is positive:

3 + 3 = 6

If both integers are negative, the result is negative:

-3 + -3 =-6

Different Signs

To add integers with differences signs subtract their absolute values, the distance of a number from 0, and then...

If the bigger absolute values if positive the result is positive.

12 + -6

12 - 6 = 6

If the bigger absolute value is negative the

result is negative.

There are some numbers..

they are the opposite of regular numbers..

they turn math upside down..

and those numbers are....

**integers!!!!**

**Victor Aguilar**

Jorge Ortiz and

Nashaly Ortega

Jorge Ortiz and

Nashaly Ortega

**7Y**

Mr. Adam Myers

Mr. Adam Myers

**Objective:Make**

it to the sky!!

it to the sky!!

Let's review

Hey you!!

Im trying to watch

TV here!!

If one number is negative, subtract, if the negative number is the greatest the answer is negative and if the positive number is the greatest the answer is positive.

If they are both negative or positive add, negative numbers the answer is negative, positive numbers the answer is positive.

Let's go to lesson 2 now!

-12 + 6

-12 + 6 = -6

Integers are....

... a set of numbers with positives, negatives, and 0. It has no decimals or fractions.

Get it?

Let's go to lesson 1!

Positive numbers:

numbers greater than 0

Negative numbers:

numbers less than 0

Absolute value example:

BIGGER

SMALLER

3 - 5 = -2

5 - 2 = 3

-2 - -3 = 1

-2 - 2 = -4

Subtracting by a positive number

Subracting a positive integer follows the same rules as adding a negative number.

-7 - 8

-7 + -8 = -15

6 - 15

6 + -15 = -15

Subtracting by a negative number

You must change the two negative signs (minus sign and a negative) to a plus sign.

9 - (-2)

9 + 2 = 11

-5 - (-11)

11 - 5 = 6

2

.

2 = 4

-2

.

2 = -4

Same Signs

When multiplying with same signs the product is always positive.

7

.

8 = 56

-2

.

-5 = 10

Different Signs

When multiplying integers with different signs, the result is negative

-3

.

12 = 36

Same Signs

When dividing integers with the same sign, the quotient is positive.

10

5 = 2

-35 -7 = 5

Different Signs

When dividing integers with different signs, the quotient is negative.

10 -2 = -5

Let's review

When the first number is negative and the second positive the whole problem turns negative so add.

When the first number is positive and the second is negative the whole problem turns positive so add.

When the 2 numbers are negative the first one stays the same and the second one turns positive so subtract like positive numbers.

You again, what did I tell you?!

Time for lesson 3!

Let's review

When both numbers are positive the answer is positive.

When one or both numbers are negative the answer is negative.

Now onward to lesson 4!

What is wrong

with you, you

are making me

miss this episode!

Let's review

Same rules with multiplication apply here, if both numbers are positive the answer is positive.

If one or both numbers are negative the answer is negative.

That is it, you are banned

from these apartments, you made

me miss this episode!

Any questions?

Congratulations, you made it to the sky!!

That is all, thanks for watching!