Changing Percents to Decimals

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Changing percents to decimals is really easy to understand and to do.The first step is that we need to have a percent so let's take the percent 23% and let's make this into a decimal. To make 23% into a decimal you have to first make the percent into a fraction like this:
23% = 23 
           100
And now to make it into a decimal you have to divide the numerator by the denominator like this:

 23  =         __.23___ = 0.23
100     100/ 230
                   200
                     300
                     300
                        x
So now we know that the decimal number for 23% is 0.23.
Now try some of these and make sure to watch the video on YouTube.

Example

1. 56%
2. 2%
3. 100%
4. 19%
5. 99%

Finding Equivalent Fractions and Decimals using Percents

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Finding equivalent fractions and decimals using percents is a really long title but actually the topic is really easy.
So first let's find an equivalent fraction using a percent and to do that we need a percent so let's take 22% and now we have to make the percent into a fraction like this:

22% = 22 

           100

And now we have to make an equivalent fraction so we have to multiply both the numerator and denominator with the same number so multiply them by the number 5 ( or any other number )like this:

22% = 22   =  22  x 5= 110

           100     100 x 5= 500

So now we know that an equivalent fraction for the fraction 22/100 is 110/500.


Now let's find a decimal using a percent and to do that we have to take a percent so let's take the percent 45% and we have to make it into a fraction like this:

45% = 45  

           100

And now we have to make it into a decimal by dividing 45 by 100 like this:

45   = 0.45

100

So now you know that the decimal number for the fraction 45/100 is 0.45.
Now try some of these and make sure to watch the video on YouTube.

 

Sheet 1 How to Find Equivalent Fractions

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

Comparing and Ordering Decimals

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Comparing and ordering decimals use the same technique so this chapter will be really easy. So lets first do comparing of decimal numbers and to compare the decimal numbers we are going to be using the symbols >, <, and =. So lets take the two decimal numbers 5.23 and 5.25:

5.23 __ 5.25

What we need to do is we have to start by comparing the numbers from left to right like this:

5=5

2=2

3<5

So now we know that in the number 5.25 the number 5 which is in the hundredths place value is greater than the 3 of the decimal number 5.23. That makes the comparison:

5.23 < 5.25

Now let's order the following decimal numbers from least to greatest form:

 2.6, 2.3, 2.2, and 2.9

To do this we will have to use the same method we used to compare the two decimal numbers. Since we know that all the numbers have the number 2 as the whole number all we have to do is look at all the numbers after the decimal point and put them in numerical order:

2.6           2.2

2.3           2.3  

2.2           2.6

2.9           2.9

{ The list to the left is the original order the decimals were given. The list to the right is in least to greatest form.}

So the ordered form of the decimal numbers are 2.2, 2.3, 2.6, and 2.9.
Now try some of these and make sure to watch the video on YouTube.

 Sheet 1 Comparing and Ordering Decimals

Sheet 2 Comparing and Ordering Decimals

Decimals to Fraction Conversion

Introduction

In our previous post we talked about converting a fraction in to a decimal. Well, in this post, our topic is reversed! We will learn how to convert a decimal in to a fraction. 

Now before we start, it is important for you to know your place values in decimal places.

Remember that the place value after the decimal place is always starting from the tenths and goes into the hundredths, thousandths, etc.

Decimals to Fraction Conversion

Let's say that we have the decimal number of .14. In order to convert this into a fraction, you first need to see the last digit after the decimal point.

4 is in the hundredths place.

Next, rewrite your decimal as a fraction with a denominator of 100.

-------

100

Now, ask yourself, how many hundredths are there?

Since out number is .14, there are 14 hundredths.

14

-----

100

It is important to reduce your fraction: 14/100 simplified is 7/50

That means that the fraction for the decimal number .14 equals 7/50.

 Sheet 1 Converting Decimals to Fractions

Fraction to Decimals Conversion

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Converting a fraction into a decimal is really simple becaus eyou are just converting from one term to another.
So the first thing we need is a fraction so let's take the fraction 7/10 and now to convert this fraction into a decimal you have to put it in proper form like this:

 7 

10

Now we have to divide the 7 with 10 using the zeros and decimal point like this:

 7 

10

      __.7__      = 10 x 7=70

 10/  70

      - 70

          0

So now we know that to convert any fraction into a decimal number you will have to divide the numerator by the denominator.
Now try some of these and make sure to watch the video on YouTube.

Sheet 1 How to Convert Fractions to Decimals

Adding and Subtracting Decimals

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Decimals are very easy to do addition and subtraction with because when you get the point it feels like doing simple addition and subtraction. So lets take the two decimal numbers for example 4.32 and 3.12 and add first:

  4.32

+3.12

The first thing you do is forget all about the decimal point and add like this:

  4.32

+3.12

  7 44

Next you have to bring the decimal point straight down like this to get our final answer:

  4.32

+3.12

  7.44

Now let's subtract:

 4.32

-3.12

The first thing you have to do is line up the decimal points but in this case they are already lined up so the next thing you do is forget all about the decimal point and subtract going from right to left like this:

 4.32

-3.12

 1 20

Then you have to bring down the decimal point and that is going to be your final answer:

 4.32

-3.12

 1.20

So adding 4.32 and 3.12 gave us the decimal answer 7.44 and subtracting gave us the answer 1.20.
Now try some of these and make sure to watch the video on YouTube.

Sheet 1 How to Add and Subtract Decimals

Sheet 2 How to Add and Subtract Decimals