Showing posts with label multiplying. Show all posts
Showing posts with label multiplying. Show all posts

Tuesday, July 22, 2014

Wacky Wanda Method

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Wacky Wanda
Well there's an unusual name for something that is related to math and not just any math its percents!

What is the Wacky Wanda method? Well to do that you will need a problem so let's take the problem 10% of 600. Well first you will use the 'of and is method' and according to that "of" is the numerator and ''is'' serves as the denominator and since 600 has a of before it is a denominator and we do not know that numerator so we will write it like this:

  ?  
600

Next you have to put the percent over a 100 like this:
  ?        10 
600     100

Next you have to multiply the numerator or the denominator of the first fraction which ever is provided and then divide that product by the 100 like this:
  ?     x   10    =  600 x 10=6000 
600       100       6000/100=60
So now we know that 10% of 600 is 60.
Now try some of these and make sure to watch the video on YouTube.



Sheet 1 What is Wacky Wanda Method

Monday, July 21, 2014

Learn about Interest and Loss

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What is interest and loss?
Well that is a very good question because this topic is really good to know about because it is very influential in life.

Well the first thing you need to know is that both interest and loss have to deal with money, so first let's talk about interest.
Interest is the additional money on the borrowed money. Like for example if you have borrowed $200 from someone and the someone says that the interest is 5% so that means its $200 x 5% = $40 so the amount of interest that you will give is $40.

 Now lets talk about loss, and loss is something that you loose like you buy a ball for $45 and sell it to someone for $40 then the amount of loss will be $5 and so what we have to do is multiply 100% by the loss over the original cost price like this:
 $5   x 100% = 11 approx.
$45


So now that you know about interest and loss you have studied a part of investment and if you like this topic then go ahead and learn more about investment. Now practice this and make sure to watch the video on YouTube.

 

Sheet 1 Learn about Interest and Loss

Cross Production

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Cross production is used in division and is like a shortcut to finding quotients in fractions. So since cross production is used in fractions we need two fractions so let's take the fractions:
6  /  7
8     9
So what you need to know is that when you are doing cross production you are actually multiplying and you are multiplying one numerator by the other denominator and multiplying a numerator by a denominator again so we will do something like this:
6 / 7
8   9

6x9=54
8x7=56

So now we have to write the fraction out by putting the numerator on top and denominator on bottom like this:
54
56
So this is how you do cross production and if you want at the end you can simplify the fraction. Now try some of these and make sure to watch the video on YouTube.




Sheet 1 What is Cross Production














Friday, July 18, 2014

Common Denominators

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Common denominators can be very useful when you are doing addition and subtraction with fractions. So what are common denominators and how do you find them? Common denominators are two denominators of two fractions that are common. So let's take the two fractions 3/4 and 3/5 and to find the common denominators for the two fractions we will have to write the fractions out in vertical form like this:

3
4
    
5
6

So now that we have the two fractions we have to take the denominators and find the LCM of the two numbers like this:
3
4                            4, 8, 12, 16, 20
    =  4 and 6 =                                  LCM=12
5                            6, 12, 18, 24, 30
6

We know that the LCM of the two denominators is 12 so now we have to rename the fractions like this:
3     = ?            
4        12

5     = ?   
6        12

So now we have to rename the numerators by multiplying them by the same we multiplied each denominator by to get 12 like this:

3            
4         12

=4 x 3=12

5         10
6         12

=6 x 2=12

We now know that the common denominators for the two fractions 3/4 and 5/6 is 12. And so our fractions with common denominators are 9/12 and 10/12.
Now try some of these and make sure to watch the video on YouTube.


Sheet 1 How to find Common Denominators




Sheet 2 How to find Common Denominators




Thursday, July 17, 2014

Whole Number Divided by Decimals

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Dividing a whole number by a decimal looks complicated but its really easy once you practice it. Let's take the whole number 50 and lets divide it by 2.5. So what we need to do is put this problem in division form:
      ____
2.5/ 50

The first thing we need to do is make 2.5 into a whole number because thatis the rule when dividing with a decimal divisor:

  2.5
x1 0
  0 0
+2 5
  2 5

So now we have the whole number 25 and since we multiplied 2.5 by 10 we have to do the same thing with 50 like this:

50  x 10 =500
2.5 x 10 = 25

So the next thing we have to do is divide 500 by 25:

     __20_       25x20=500
25/ 500
    - 500
          0

So now we know that 50/2.5=20.
Now try some of these and make sure to watch the video on YouTube.




Sheet 1 Whole Numbers Divided by Decimals










Wednesday, July 16, 2014

How to Find L.C.M by Prime Factorization Method

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There's a lot of ways to find the LCM of a number but in this lesson I am going to be teaching you how to find LCM with prime factors. Now to do that you will have to make prime factorization trees for the two numbers. So lets take the two numbers 4 and 8 and lets make two trees:

                               4                          8
                            2 x 2                     2 x 4
                                                           2 x 2
So the factors for each numbers are :
4= 2 x 2
8= 2 x 2 x 2 
So to find the LCM all we have to do is find the first common factor which is 2 so the LCM of the two numbers 4 and 8 is 2.
Now try some of these and make sure to watch the video on YouTube.



Sheet 1 LCM by Prime Factorization Method









Monday, July 14, 2014

Properties of Multiplication

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The properties of multiplication are really basic even though there are six of them.
So what are the properties of multiplication? The properties of multiplication say that:

1) If two whole numbers are to be multiplied then the product is to be a whole number itself, example:-
3 x 2=6
7 x 0=0
1 x 3=3

2) The product of two whole numbers always remains unchanged when the numbers change places, example:-
4x5=20
5x4=20
4x5=5x4

3) The product of three whole numbers always remains unchanged when the numbers change places, example:-
(8x2)x2= 16x2=32
(2x2)x8= 4x8=32
(8x2)x2=(2x2)x8

4) If a whole number is to be multiplied by a zero then the product is to be zero itself, example:-
5x0=0
0x3=0
0x0=0

5) If the product of a whole number and the sum of two or more other whole numbers is to be grouped together then the sum of the products of the former is to be equal to each of the grouped numbers, example:-
6 x (2+3)=6 x 5=30
(6 x 2)+(6 x 3)=12+18=30
6 x (2+3)=(6 x 2)+(6 x 3)

Now try some of these and make sure to watch the video on YouTube.





Sheet 1 What are the Properties of Multiplication











Tuesday, June 10, 2014

How to Multiply Fractions with Whole Numbers

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It's simple to multiply fractions with whole numbers. You first have to make the whole numbers into fractions by adding a 1 as the denominator.
So for example if have the problem 3/4 x 3 the first thing you have to do is put a 1 under 3 and so now the problem will be 3/4 x 3/1.
Now all you have to do is multiply and the answer will be 9/4 and since this is a improper fraction we will have to make it mixed number which you will have to do most likely, so our answer will be 2 1/4.
Now try some of these and make sure to watch the video on YouTube.



Sheet 1 Practice Problems on Multiplying Fractions and Whole Numbers