Subtracting Integers

Subtracting Integers 

Rule for subtracting integers: add the opposite or changing the second integer of the equation and adding.

Today, we have 3 examples given to help you understand what to do.

#1: (+9) - (-5)

#2: (-7) - (+5)

#3: (-6) - (-4)

Question #1: (+9) - (-5) = ?

You have 9 positive chips.

 You can't take away 5 negative chips, so you need to make 5 'zero pairs'.

 After making 5 zero pairs, take the 5 negative chips away.

In the end, the answer will be (+14).

(+9) - (-5) = (+14)

Question #2: (-7) - (+5) = ?

You have 7 negative chips.

Now make 5 'zero pairs'.

With that, take away the 5 positive chips to get the answer.

Therefore, the answer is (-12).

(-7) - (+5) = (-12)

Question #3: (-6) - (-4) = ?

You have 6 negative chips.

But instead of making 'zero pairs', you just simply take away 4 negative chips.

By doing so, you now have the answer (-2).

(-6) - (-4) = (-2)

Now, you have turned into an 'Integer Master' for subtracting!

Adding Integers

                                                                    Adding Integers

Adding integers is very easy. Lets say you have +5, and you want to add it with +3, it is just the same as 5+3. By the way, the answer is 8. Here's another one. (+8) + (+9). It is the same thing. Just add and there is your answer. See, I think you get the idea. Now lets do something else. Lets say, you have 9+(-5).  Now that's something different. First of all, it isn't as hard as it looks. You find your answer by doing what's called a I think zero pair. A zero pair is a pair that means nothing. Now go look at the example down below. 


Examples: 

(+5) + (+3)= +8


(+4) + (+2)= +6


A Zero Pair
+
-
(+9)+(-5)= +4 

Here's how you do this question. First, find out how many positives and negatives you have. In this case, you have 9 positives and 5 negatives. So you would have something like this.

+ + + + + + + + +
-  -  -  -  -

The first 5 cancel out because they are a zero pair, and a zero pair is something that cancels out or just means nothing. So in the end, you count up how many positives you have left. The answer to this question is +4. Have fun learning and doing adding with integers!

Adding Fractions With Different Denominators

Adding Fractions With Different Denominators

When adding fractions that have different denominators you should find a common denominator by either multiplying or dividing, for example:

1/2 + 6/10 =

1/2 x 5 = 5/10 

5/10 + 6/10 = 11/10 

11/10 is an improper fraction so you must find how much groups of 10 is in 11, 1 so there would be 1/10 left, so the answer would be 1 1/10 

If the question has wholes with the fraction (a mixed number) you should do the following:

5 7/8 + 3 2/4 =

5 + 3 = 8 (these are the wholes)

2/4 x 2 = 4/8 

7/8 + 4/8 = 11/8(an improper fraction)

Do as before when you have an improper fraction so you get a mixed number. And add the wholes in the end.

1 3/8 + 8 = 9 3/8 

Adding Fractions With Different Denominators

When adding fractions with different denominators, you must find a common denominator (you must  have equal denominators). To do that you must multiply the denominators. 2. Re-write the equivilant fraction to its new denominator. 3. and add the numerators. Dont forget to add the whole numbers.

Eg. 5 3/8 + 4 7/16=

5+4=9  (add the whole numbers)
3/8 x2= 6/16 (multiply the denominator and numerator)
6/16+7/16=13/16(Add the fractions)
9+13/16=9 13/16
Answer:9 13/16

Subtracting Fractions

Subtracting Fractions With Unlike Denominators

 You need to make the denominators the same (bottom of the fraction) using multiplication and you multiply ____ Over ____. Then you have to finish the question!

 

Here Is an Example Below!

 

 

Adding and Subtracting Fractions With Different Denominators

   Adding and Subtracting Fractions With Different Denominators

When you add a fraction with different denominators, you must first have to find a common denominator. When you are done figuring out what the common denominator is, you can add both fractions. Finding common denominators are easy, but it takes a lot of courage. You have to remember to do the same thing for both numerators and denominators.(what you do to the bottom, you always do to the top) After you do these steps, adding fractions would be easier for you.

Subtracting fractions is like doing adding fractions. The only different thing you have to do is to subtract. You use the same steps but instead of adding, you will do subtracting. As I said before, it will become easier when you practice and practice and it really takes  a lot of courage to do this.

After you figure out the answer to the fractions your adding or subtracting, before handing your work in, you will have to find it's lowest term. Lowest term means when you get a huge fraction and you find it's lowest term. You will then have to find what number your going to use to divide in order to get it's lowest term. I will show you an example below.

How to add fractions

Adding fractions is easy. Lets say we have 1/2+1/4. The denominators need to be changed because it is not the same. You can use 4 for both of them. But remember, whatever you do at the bottom, you have to do at the top. So it should be like this.


1/2+1/4= 3/4

(1/2x2)  2/4+1/4= 3/4


See? Adding fractions is very easy! Have fun learning!