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# Integers

### Properties of Integers

TermDefinition
In Addition if the signs are the same________ Keep the sign and add
In Addition if the numbers are different ___________ Find the Difference and Keep the sign of the larger number
IN Subtraction What is the first thing you do to a problem? Change the sign of the second numbe
In subtraction if the numbers are the same______ Keep the sign and add
In Subtraction if the numbers are different _________ Find the difference and keep the sign of the larger number
In Multiplication In the sign are alike the answer is Positive
In Multiplication if the signs are different the answer is Negative
The First Thing you do when you multiply integers is Change the sign of the second number
What is the first thing you do when you divide integers Change the sign of the second number
In Division if the signs are alike the answer is positive no matter what
In Division if the signs are different the answer is Negative
Addition of Integers with same signs If the signs match, add the numbers and give the sum the same sign. 3 + 6 = 9 (⁻4) + (⁻7) = 11
Addition of Integers with different signs If the signs are different, ignore the signs, subtract big number from little number, then give the answer the same sign as the original, larger number. 2 + (⁻9) = 9 − 2 = 7 → ⁻7 (⁻6) + 4 = 6 − 4 = 2 → ⁻2 5 + (⁻4) = 5 − 4 = 1 → 1
Subtracting Integers (2nd number is positive) Leave the first number alone, change the minus to plus, change the sign of the second integer. 3 − 8 = 3 + ⁻8 Continue with the rule for adding integers. 3 + (⁻8) = 8 − 3 = 5 → ⁻5
Subtracting Integers (2nd number is negative) Leave the first number alone, change the minus to plus, change the sign of the second integer. ⁻7 − (⁻4) = ⁻7 + (⁺4) Continue with the rule for adding integers. ⁻7 + 4 = 7 − 4 = 3 → ⁻3
Multiplication & Division of Integers with positive signs Multiply the numbers and the product is positive. 2 × 4 = 8 Divide the numbers and the quotient is positive. 12 ÷ 3 = 4
Multiplication & Division of Integers with negative signs Ignore signs and multiply or divide numbers. Count the number of negatives. If there are an odd amount of negatives, the answer is negative. If there are an even amount of negatives, the answer is positive.