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Published byKristian Collins Modified over 6 years ago

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**Addition, Subtraction, Multiplication, and Division of Integers**

Lesson 11 Addition, Subtraction, Multiplication, and Division of Integers

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**Rules for Adding Integers**

When the signs are the same, keep the sign and add. When the signs are different, take the sign of the number with the higher absolute value and subtract.

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Example 1 6 + (-14) + (-10) + 30 = Strategy: Follow the rules for adding integers. Step 1: Add the positive integers. = 36 Step 2: Add the negative integers. (-14) + (-10) = (-24)

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**Step 3: Add the solutions from Steps 1 and 2.**

36 + (-24) = 12

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Solution The answer is 12.

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**Rules for Subtracting Integers**

Rewrite the subtraction problem as an addition problem: Change the minus to a plus. Change the sign of the number to be subtracted (the second number). If the second number is positive, make it negative; if the second number is negative, make it positive. Solve using the rules for addition.

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**Example 2 Subtract: 16 – (-13) =**

Strategy: Rewrite the problem as an addition problem. Step 1: Rewrite the problem. = Step 2: Add. = 29

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Solution The answer is 29.

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**Rules for Multiplying Integers**

If the signs are alike, the answer is positive. If the signs are different, the answer is negative.

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Example 3 (-25) x (-8) x (-2) = Strategy: Follow the rules for multiplying integers. Step 1: Multiply the numbers. 25 x 8 x 2 = 400 Step 2: Determine the sign of the answer. (-) x (-) = (+); (+) x (-) = (-) The sign of the answer is negative. -400

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Solution The product is -400.

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**Rules for Dividing Integers**

If the signs are alike, the answer is positive. If the signs are different, the answer is negative.

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**Example 4 Divide: (-20) / (5) =**

Strategy: Follow the rules for dividing integers. Step 1: Divide the numbers. 20 / 5 = 4 Step 2: Determine the sign of the answer. The signs are different; negative. -4

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Solution The quotient is -4.

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