adding and subtracting integers what rules can you come up with that can sum up adding &...
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![Page 1: Adding and Subtracting Integers What rules can you come up with that can sum up adding & subtracting integers? Remember, rules must apply at all times,](https://reader035.vdocument.in/reader035/viewer/2022062222/5697bff11a28abf838cbb794/html5/thumbnails/1.jpg)
Adding and Subtracting Integers
•What rules can you come up with that can sum up adding & subtracting integers?
•Remember, rules must apply at all times, and must be clear.
5 – 3 = 2-7 – (-4) = -35 – (-10) = 15-10 – 5 = -15
5 + 2 = 7-5 + (-2) = -7-10 + 12 = 28 + (-10) = -2
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Add Integers with the Same Sign
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Add Integers with the Same Sign
Find –6 + (–3).
Use a number line.
Answer: So, –6 + (–3) = –9.
From there, move 3 units left to show –3.
Move 6 units left to show –6.
Start at 0.
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Add Integers with the Same Sign
Find –34 + (–21).
–34 + (–21) = –55 Both integers are negative, so the sum is negative.
Answer: –55
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Add Integers with Different Signs
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Add Integers with Different Signs
Find 8 + (–7).
Answer: So, 8 + (–7) = 1.
Use a number line.
Then move 7 units left.
Move 8 units right.
Start at zero.
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Find –5 + 4.
Answer: So, –5 + 4 = -1.
Add Integers with Different Signs
Use a number line.
Then move 4 units right.
Move 5 units left.
Start at 0.
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Add: 18 + (–27).
Add Integers with Different Signs
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Find 5 + (–19) + (–5).
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Subtraction of Integers
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Subtract Positive Integers
Find 2 – 15.
2 – 15 = 2 + (–15) To subtract 15, add –15.
= –13 Simplify.
Answer: –13
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Subtract Positive Integers
Find –13 – 8.
Answer: –21
–13 – 8 = –13 + (–8) To subtract 8, add –8.
= –21 Simplify.
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Subtract Negative Integers
Find 12 – (–6).
Answer: 18
12 – (–6) = 12 + 6 To subtract –6, add 6.
= 18 Simplify.
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Let’s model 12 – (-6) in a different way:
First, use 12 positive counters to model the number 12.
Now ask yourself, do I have 6 negative counters I can take away? No
Let’s use “zero pairs” to create the negatives that we need.
Reminder: a “zero pair” is a positive and negative counter that cancels each other out, leaving you with a sum of zero.
Now we have -6 to take away!
That’s right! 12 - (-6) = 18
Which is the same as 12 + 6 = 18What’s left?
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Find –21 – (–8).
Answer: –13
Subtract Negative Integers
–21 – (–8) = –21 + 8 To subtract –8, add 8.
= –13 Simplify.
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ALGEBRA Evaluate g – h if g = –2 and h = –7.
Answer: 5
Evaluate an Expression
g – h = –2 – (–7) Replace g with –2 and h with –7.
= –2 + 7 To subtract –7, add 7.
= 5 Simplify.
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Write an addition expression to describe the situation. Then
find each sum and explain its meaning.
SKATEBOARDING Hakeem starts at the top of a half pipe 8 feet above street level. He descends 14 feet to the lowest point in his run.
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Write an addition expression to describe the situation. Then
find each sum and explain its meaning.
SUBMARINE A submarine dives 106 feet below the water. Then it rises 63 feet.
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FIND THE ERROR Alicia and Mitsu are finding -16 - (-19) . Who is correct? Explain your reasoning.
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SPACE The temperatures on the moon vary from -173ºC to 127ºC. Find the difference in temperatures.
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MONEY Camilia owes her brother $25, so she gives her brother the $18 she earned dog-sitting for the neighbors. Write an addition sentence to describe this situation. Then find the sum and explain its meaning.