Section 4



Adding and Subtracting Integers Worksheet

Name Period #

ADDING OPPOSITES:

When you add opposites the sum is always zero.

Therefore, opposites are called additive inverses.

Rules For Addition of Two Integers

|Concept |Explanation |Examples |

| | | |

|Additive Inverses |The sum of an integer and its opposite is always zero. | |

|(opposites) | | |

|(ZAP) | | |

| |The sum of | |

|Adding Like Signs |2 positive integers is always | |

| |__________________. | |

|SAME SIGNS SUM | | |

|(SSS) |The sum of | |

| |2 negative integers is always | |

| |____________________. | |

| | | |

| |To add 2 integers with | |

| |the same signs: | |

| |1) Keep the sign and | |

| |2) Add the numerals | |

| |ignoring the signs | |

| |To add 2 integers with | |

| |different signs: | |

|Adding Different Signs |1) Take the sign from the | |

| |integer which is farther | |

|Different Signs Difference |from zero | |

|(DSD) |(the integer with the | |

| |largest absolute value) | |

| |2) Subtract the numerals | |

| |ignoring the signs | |

| | | |

|Adding With Zero |When one addend is zero, | |

|(AZ) |the sum is the other addend | |

| | | |

| | | |

Circle which method you used (SSS or DSD) and then ADD in the remaining space:

1) -22 + 57 2) 81 + (-32)

SSS or DSD SSS or DSD

3) -11 + (-28) 4) -92 + 41

SSS or DSD SSS or DSD

5) -26 + (-16) 6) 145 + (-18)

SSS or DSD SSS or DSD

7) 23 + (-11) + 14 + (-20) 8) -1 + 15 + 12 + (-15) + 3

9) -8 + 14 + (-5) + (-19) + 8 + 25 10) 22 + (-36) + 14 + (-10) + (-17) + 4

11) -2 + 11 + 16 + (-82) + 5 + (-11) 12) -5 + 4 + (-5) + (-19) + 21 + (-10) + (-4)

RULE FOR SUBTRACTING INTEGERS:

TO SUBTRACT INTEGERS…

ADD THE OPPOSITE!

You rewrite the problem:

1) Leave the number before the subtraction exactly the same.

2) Change the subtraction to addition.

3) Change the number that follows the subtraction sign to its opposite.

4) Add by following the rules of addition to get the correct answer.

|Original Problem |Problem Rewritten |Final Answer |

| |Adding the Opposite | |

|13) -6 – (-1) | | |

|14) 5 – 13 | | |

|15) 8 – (-19) | | |

|16) -7 – 9 | | |

|17) 3 – 5 | | |

|18) -2 – 8 | | |

|19) -65 – (-43) | | |

|20) -144 – 85 | | |

| | | |

|21) 8 – 10 – (-25) – 35 – 22 | | |

| | | |

| | | |

|22) -9 – 24 + (-3) – 20 + 49 | | |

| | | |

| | | |

|23) 17 – (-9) – 5 – (-7) + 5 | | |

| | | |

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