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) "
`(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 =
`(8)/(10)` " ;

→ "
`(8)/(10)  = (?)/(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; "
`(8)/(10)  = (<strong>?</strong>)/(100)` " ;

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

→ So; " {?} " = " 80 " .

→ So; "
`(8)/(10)  = (80)/(100)` " ;

→ As such: " 0.8 " = " (
`(80)/(100)`) " ;

= " 80 " parts per hundred ;

= " 80 % " .

Answer: " 0.8 " = 80 % " .

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Now, let convert: "(
`(5)/(8)`)" ; into a percentage.

→ Multiply by "100" ;

→ "(
`(5)/(8)`)" * 100 ;

→ "(
`(5)/(8)`) * (
`(100)/(1)`)" ;

→ "(
`((5*100))/((8*1))`)" ;

→ "(
`(500)/(8)`)" ;

= " { 500 ÷ 8 } " ;

= " 62. 5 " ;

→ Now, add the "percent symbol" ;

→ " 62. 5 " ; → 62. 5 % " .

Answer: "
`(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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