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Properties of Integers

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Term
Definition
In Addition if the signs are the same________   Keep the sign and add  
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In Addition if the numbers are different ___________   Find the Difference and Keep the sign of the larger number  
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IN Subtraction What is the first thing you do to a problem?   Change the sign of the second numbe  
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In subtraction if the numbers are the same______   Keep the sign and add  
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In Subtraction if the numbers are different _________   Find the difference and keep the sign of the larger number  
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In Multiplication In the sign are alike the answer is   Positive  
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In Multiplication if the signs are different the answer is   Negative  
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The First Thing you do when you multiply integers is   Change the sign of the second number  
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What is the first thing you do when you divide integers   Change the sign of the second number  
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In Division if the signs are alike the answer is   positive no matter what  
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In Division if the signs are different the answer is   Negative  
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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  
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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  
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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  
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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  
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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  
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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.  
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