Integers Packet (Thanks Laura Benns!).pdf

One positive and one negative when adding a positive

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one positive and one negative When adding a positive and a negative, some positives and negatives will combine and cancel each other out. Ask: Do I have more positives or more negatives? The answer will determine the sign of the final answer. Then ask, how many more positives do I have than negatives (or how many more negatives do I have than positives?). This will determine the correct number to go with the sign. Subtracting Integers all Subtracting is the opposite of addition. Thus, the easy way to subtract a number is to simply add its opposite . Ex. 6 - -3 = 6 + +3 = 9 Ex. -12 – 7 = -12 + -7 = -19 Multiplying/Dividing Integers When multiplying and dividing, determine the number as with normal multiplication and division. Use the table below, The Kissing Rules, to determine the sign. Phrase to remember…. This x this = this A girl sees a boy she likes (+). She does kiss him (+). She is happy (+). + + + A girl sees a boy she likes (+). She does not kiss him (-). She is sad (-). + - - A boy sees a girl he doesn’t like (-). He does kiss her (+). He is sad (-). - + - A boy sees a girl he doesn’t like (-). He does not kiss her (-). He is happy (+). - - +
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Created by Lance Mangham, 6 th grade teacher, Carroll ISD Activity 3-S: Chapter 3 Summary Name: ADDING INTEGERS When adding two positive integers, add the numbers together. Your answer is always going to be positive. Ex. 5 + 6 = 11 When adding two negative integers, add the two numbers together and place a negative sign in front of your answer. Ex. -6 + -3 = -9 When adding a positive and a negative integer, first ask yourself, “Are there more positives or negatives?” If there are more positives, you answer is going to be positive. If there are more negatives, then you answer is going to be negative. Then ask yourself, “How many more (negatives/positives) are there than (positives/negatives)?” Ex. -8 + 6 Are there more negatives or positives? Negatives. How many more? 8 – 6 = 2. So there are 2 more negatives than positives and your final answer is -2. SUBTRACTING INTEGERS The easiest way to subtract integers is to always turn the expression into an addition problem. To subtract an integer add its opposite . An integer and its opposite are the same distance from 0 on a number line so the integers 5 and -5 are opposites. Then follow the rules above for adding. Ex. -7 - -8 Change the problem to -7 + +8. There are more positives than negatives. How many more? One. So your answer is +1. MULTIPLYING/DIVIDING INTEGERS When multiplying or dividing integers, multiply and divide just like you would for positive numbers to get the number part of the answer. Then use the table below to determine the correct sign. First Sign Second Sign Answer Sign First Sign Second Sign Answer Sign + + + + - - - - + - + - When multiplying two positives or two negatives, the answer is positive. When multiplying one negative and one positive, the answer is negative.
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Created by Lance Mangham, 6 th grade teacher, Carroll ISD Activity 3-POW (Guess and Check): Farmer Ann Name: Farmer Ann was chosen to go into town and spend the entire amount of $100 of a tax return on exactly 100 farm animals – some cattle, some sheep, and some horses. She discovered that sheep cost $0.50
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