Integers adding and subtracting
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1) Adding integers follows the rules of keeping the sign if the integers have the same sign or taking the sign of the larger number if they have different signs. 2) Subtracting integers ignores the signs and subtracts the numbers, taking the sign of the larger integer. 3) More examples are provided to illustrate subtracting integers with the same or different signs, including cancelling out negatives.
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3. Examples are provided to demonstrate applying these rules to problems involving addition, subtraction and absolute value of integers.
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2.2 add integers ws day1
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Integers adding and subtracting
- 1. Adding and Subtracting Integers
- 2. Adding Integers Follow these rules: • If the integers have the same sign, add them together and keep the sign. For instance: 3 + 5 = 8 and -2 + -5 = -7 • If the integers have different signs, subtract them. The answer takes the sign of the larger number. For instance: 5 + -8 = -3 and -4 + 11 = 7
- 3. Subtracting Integers Follow these rules: • To subtract integers, ignore the signs and subtract like you usually do. The answer takes the sign of the larger integer. For instance: 8 – 12 , you would do 12 – 8 which is 4. The 12 has a minus sign in front of it so the answer is -4.
- 4. More Subtraction What do you do with a problem like this: -5 – 9? You could think of it as two integers with the same sign. Remember from the addition rules if they have the same sign, you add and keep the sign. So -5 – 9 is the same as -5 + -9 = -14. More examples: -13 – 3 = -16, -12 – 7 = -19
- 5. Even More Subtraction What about a problem like this: 6 – (- 10)? Those two negatives cancel each other out and make a positive. So 6 – (- 10) = 6 + 10 = 16. More examples: 12 – (-8) = 12 + 8 = 20 14 – (-32) = 14 + 32 = 46
- 6. Not More Subtraction?! Yes, more subtraction! What about the problem: -12 – (-6)? What do you think we do? Remember that the two negatives, side by side, cancel each other out and make a positive so we get -12 + 6. Now we are back to addition rules. If the integers have different signs, subtract and take the sign of the larger integer. -12 + 6 = -6.
- 7. Practice Makes Perfect! • Try these and see how you do. 1. 8 + -15 2. -6 – 11 3. 5 – (-12) 4. -3 + 17 5. -14 – (-34)