Sunday 27 January 2013

Converting Review ( percent,fractions,decimals)

How to convert Percent to Decimals:
Eg.
       25% and 2.5% are examples of percent.
- so we need to find the decimal form of both of 25% & 2.5%

1. To do that, we first need to find the decimal point of the percent/number.

Remember: if you can't see thr decimal point of the percent/number, the decimal point is at the right end of the number.
Eg.
        37% ( 37. <--- decimal point )

2. After we find the decimal point of the percent/number, we now move the decimal point 2x to the left then remove the percent sign.
Eg. #1
       25.%    ->      25. = 0.25 ( final answer )
           ^         <-- move the dec. p. to the left (2x)
Decimal point

Eg. # 2
       2.5%      ->   2.5 = 0.025
         ^                <-- move the dec. p. to the left (2x)
Decimal point

* always move the decimal point 2x to the left.
* if there's a gap/space when you move the decimal point like example number 2, just fill the gap with the number 0.

How to convert Decimals to Percent:
Eg.
      0.25 and 2.5
- we need to convert 0.25 and 2.5 to percent.

1. First thing we need to do is to find the decimal point.
Eg.
       0.25  2.5
         ^       ^
            \   /
  Decimal points

2. After that, we now move the decimal point 2x to the right then just add a percent sign (%).
Eg#1
       0.25         ---->           0.25 + % = 25% ( final answer )
         ^                            --->Move to the right (2x)
Decimal point

* if there's the number zero in front of the decimal numbers, just remove it.
Eg#2
          2.5     --->     2.5 = 250% ( final answer )
           ^            ---> move to the right (2x)
Decimal Point

* If there's a space when you move the decimal point just add zero to the space.

How to convert Percent to Fraction:

1. We turn the percent to decimal. ( You can see that in "How to turn Percent to Decimal".
Eg.
      3.7 = 0.037

2. Now we need to identify the place value of the last number of decimal.
Eg.
       0.037
0- tenths
3- hundredths
7- thousandths

Remember: The first number after the decimal point always starts with the place value of tenths.

3. After you 've identified the place value of the last number, we now make the decimal number a numerator and the denominator is based on the place value of the last decimal number.
Eg.
         0.037 = 37/1000
                ^
       Thousandths
* if there's a zero in front of the number, just remove it.

4. If the fraction can be simplified, simplify it. To do that, we must need to find a number that can divide both the numerator and the denomintor.
Eg.
       25/100 divided both by 25 = 1/4

How to convert Fraction to Decimal:
1. We divide the numerator by the denominator.
Eg#1
       5/8 = 5 divide by the number 8. --> 0.625
5- numerator
8- denominator

Eg#2
          3 3/5 ( mixed fraction )
= 3 divide by the number 5
= 0.6 + 3
= 3.6

Remember: if you have a mixed fraction, just add the whole number to the answer of the numerator and denominator.

3 3/5
3- whole number
3- numerator
5- denominator

How to convert Decimal to Fraction:
1. We identify the place value of the last number of decimal.
Eg.
       0.625
6- tenths
2- hundredths
5- Thousandths

2. We now place the decimal number(s) as the numerator of  the fraction and the denominator is based by the place value of the last decimal number .
Eg.
        0.625    -->            625/1000 = 5/8 ( final answer )
               ^
     Thousandths      Divide both numbers by 125

* if you can simplify the fraction, simplify.



           












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