Question

What is 0.8 and 5/8 and 0.01 in a percentage

Answer 1

The correct answers are:

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   1)      " 0.8  =  80 % "  .

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   2)      " $\frac{5}{8}$  =  62. 5 % " .

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   3)     " 0.01  =  1 % " .

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Explanation:

To solve:

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Write the numbers:  " 0.8 " ;   " 5/8 " ;  and:  " 0.01 " ;  as "percentages" .

To write a "number" as a "percentage" :

• You take the "number" ;

• Multiply that "number"  by "100"  ;   AND:

• add a  "percent symbol";

                 →   that is:  " % " ;

                 → to denote the "percentage" ;  or, "parts per hundred" .

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Let us start with the number:  " 0.8 " .

→  " 0.8 "  *  100  =  ?

→   Take the decimal point, and move it 2 decimal spaces to the right; since we are "multiplying" by "100" (which has "2 zeros")  ;

→    0.8  * 100 = ?  ;   If we move the decimal space "one space" forward, we have:  "8" .  If we move the decimal space yet "one more space forward" ;

      →  "8."  to:   " 80 " .

→ Then we add the "percent symbol":

     →  " 80 "  ;   to:  " 80 % "

Answer:  " 0.8  =  80 % " .

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Other method:

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→ Note that "percentage" means:  "parts per hundred" :

→ Given:  " 0.8 " ;  Convert to a "percentage" :

→  " 0.8  = $\frac{8}{10}$ " ;

        →  " $\frac{8}{10} = \frac{?}{100}$ " ;

        →   Find the "?" value.

        →  To do so; look at the "denominators" :

                 →  " 10 * (what) = 100 " ?

                 →  Divide each side by "10" ;

                 → " [10 * what ] / 10  = 100 / 10 " ;

                 →  to get:  

                 →  " [what] " =  "10" .        

                 →    So;   " $\frac{8}{10} = \frac{?}{100}$ " ;

                 →    If  "{10 * 10 = 100}" ;  then, "{8 * 10 = 80}" .

                 →    So;  " {?} " =  " 80 " .

                 →    So;    " $\frac{8}{10} = \frac{80}{100}$ " ;

                 →    As such:   " 0.8 "    =  " ($\frac{80}{100}$) " ;

                                                       =   " 80 "   parts per hundred  ;

                                                       =   " 80  % " .

Answer: " 0.8 "   =   80 %  "  .                                    

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Now, let convert:  "($\frac{5}{8}$)" ; into a percentage.

→  Multiply by "100" ;

→  "($\frac{5}{8}$)"   *   100  ;

→     "($\frac{5}{8}$)    *   ($\frac{100}{1}$)"  ;

→     "($\frac{(5*100)}{(8*1)}$)"   ;

→   "($\frac{500}{8}$)"  ;

   =    " { 500 ÷ 8 } "  ;

  =   " 62. 5 "  ;

→  Now, add the "percent symbol" ;

    →    "  62. 5 "   ;    →  62. 5 % " .

Answer:  " $\frac{5}{8}$  =  62. 5 % " .

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Now, let us finish with our last "given value":

Convert:  " 0.01 " ;  to a "percentage" :

→  " 0.01 "  *  100  =  ?

→   Take the decimal point, and move it 2 decimal spaces to the right; since we are "multiplying" by "100" (which has "2 zeros")  ;

→    0.01  * 100 = ?  ;   If we move the decimal space "2 spaces forward" , we have:  " 1 " .  

As such:

      →  " 0.01 "  to:   " 1 " .

→ Then we add the "percent symbol":

     →  " 1 "  ;   to:  " 1 % "  .

Answer:   " 0.01  =  1 % " .

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Hope this answer is of help to you.

Best wishes!

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