*Zero pairs are the same number in positive and negative form. Example: +2 and -2. +18 and -18. They cancel each other out and make 0.
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Integer questions from math:
1) -6-(-4)= -2
2) -10+6= -4
3) 6-7+2= 1
4) 14-(-3)= 11
5)* -3-(-7) = 4
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6) -3-7= -10
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since the -3 is negative and you're taking away positive, the subtracted positive adds on to the negative.
7) 3-7= -4
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you don't have enough to take away the 7, so it goes into the negatives.
8) 3+7=10
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just like adding.
9) -3+7=4
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The negative 3 and the positive 3 make a zero pair and leave positive 4.
Here's a video about integers. I don't know if anyone else posted this video, but it's catchy and really helpful.
Here is a site to help you with integers. Hope you enjoy!
Chapter 2: Multiplying Integers
1)
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2)
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3)
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4)
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Stuff you should also know:
Even: If you have an even number of negative factors the product is positive.
Odd: If you have an odd number of negative factors the product is negative.
(+6) x (+4) (+9) x (+3)
-When 2 brackets touch they "kiss" and then they multiply. This includes when a number and bracket are touching.
Chapter 3: Dividing Integers
Partitive division is when you divide the integers into parts. Get it? "Part"itive division. Think, "how many groups of the same amount can I make?"
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Quotative division is when you share equally with groups.
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Multiplicative inverse can help you if you switch the numbers around so you can check your answer. For example: 6 ÷ (-2) = -3. 6 ÷ (-3) = (-2)
The Sign Rule:
If there is an odd number of negative signs, the product is negative. If there is an even number of negative signs the product is positive. For example:
6÷2= 3. No negative numbers, so it's positive.
-6÷ (-2)= 3. Even number of negative signs, so it's positive.
(-6)÷2= -3. Odd number of negative signs, it is negative.
6÷(-2)= -3. Odd number of negative signs, so negative again.
Chapter 4: Order of Operations with Integers
Let's solve this question!:
(+5) x (-3) + (-6) ÷ (+3)=
Use BEDMAS. (Brackets, exponents, division, multiplication, adding, subtracting).
See any brackets? Yes, a lot, so that doesn't matter. See any exponents? No. See any division? Yes! So we do that first.
(-6) ÷ (+3)= -2. So we put that in.
(+5) x (-3) + (-2)=
Then we just to the multiplication.
(+5) x (-3)= -15.
Put it together: (-15) + (-2)= (-17)
There you go!
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