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# Integers

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by

## Sher Yao

on 29 January 2013

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#### Transcript of Integers

By: Sher Yao
8A Integers TRANSLATION: One way to easily add integers
is using a number line. How do you subtract integers? SUBTRACTING INTEGERS GRAPHING TRANSLATION & REFLECTION ADDING INTEGERS When you are adding a POSITIVE integers, on the number line you have move towards the RIGHT.
When you are adding a NEGATIVE integers, on the number line you have to move towards the LEFT. Question: George owes Mandy \$10. On Monday he worked and gained \$4. How much money does George owe Mandy now? To answer this question, you can use a number line. Answer: Here George owed Mandy \$10, so I placed a lign obove -10 and when he earned \$4 i moved 4 spaces towards the right. Now George owes Mandy \$6. Information: Always subtract integers by adding it's opposite: For example: (+10) - (+3) = ?

First you must use opposite operations so:

(+10) - (+3) = (+10) + (-3)
= (+7) This is how it looks on a NUMBER LINE: So to subtract a POSITIVE INTEGER, on a number line you must move to the LEFT.
To subtract a NEGATIVE INTEGER, on a number line you must move to the RIGHT. QUESTION:
(+9) - (-5) = ?
= (+9) + (+5)
= (+14) MULTIPLYING INTEGERS You multiply judgging by the signs on the integers. If the two integers have the SAME SIGNS; their product would be POSITIVE.

(+12) x (+3) = (+12)(+3) or (-2) x (-6) = (-2)(-6)
= (+36) = (+12) If the two integers have DIFFERANT SIGNS; their product would be NEGATIVE.

(+3) x (-10) = (+3)(-10) and (+9) x (-4) = (+9)(-4)
= (-30) = (-36) DIVIDING INTEGERS To divide integers it also depends on the SIGNS of the integers. It has the same rule as MULTIPLYING two INTEGERS When two integers have SAME signs, the quotients are always POSITIVE.
When two integers have DIFFERANT integers, the quotients are always NEGATIVE. POSITIVE DIVIDING TWO INTEGERS WITH THE SAME SIGNS, the quotient will be positive.

(+10) /(+2) = (+5) and/or (-10) / (-2) = (+5) DIVIDING INTEGERS WITH DIFFERANT SIGNS. The quotient will be negative

(-12) / (+3) = (-4) and/or (+20) / (-10) = (-2) ORDER OF OPERATIONS WITH INTEGERS The order of operation applies to WHOLE NUMBERS and INTEGERS. Order of Operations:
BRACKETS- First do the operations in brackets
EXPONENTS- Evaluate if there are any exponents in the equation.
DIVISION & MULTIPLICATION- Division and Multiplication always come before Addition and Subtraction. Always go in order from LEFT to RIGHT.
ADDITION & SUBTRACTION: Addition and Subtraction always occur in order from LEFT to RIGHT. To subtract integers you may also use a NUMBER LINE. One easy way to remember: BEDMAS Question: (-2) * (-100) / 5 * 5 + 2 = ? Answer: (-2) * (-100) / 5 * 5 + 2=
DIVISION & MULTIPLIATION:
(-2) * (-100) = (+200)
5 * 5 = 25
+200 / +25 = +8