Question Video: Identifying Different Representations of Percentage | Nagwa Question Video: Identifying Different Representations of Percentage | Nagwa

# Question Video: Identifying Different Representations of Percentage Mathematics

Determine which of the following numbers is not equivalent to 25.6%. [A] 0.256 [B] 2.56 [C] 25.6/100 [D] 256/1000 [E] 25 3/5%.

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### Video Transcript

Determine which of the following numbers is not equivalent to 25.6 percent. Is it (A) 0.256, (B) 2.56, (C) 25.6 over 100, (D) 256 over 1000, or (E) 25 and three-fifths percent?

We know that the word “percent” means out of 100. We can, therefore, write any percentage as a fraction by writing the number over 100. 25.6 percent is the same as 25.6 over 100. This is option (C). Therefore, 25.6 over 100 is equivalent to 25.6 percent. This is not the correct answer as we are looking for the number that is not equivalent.

We can multiply the numerator and denominator of this fraction by 10 to remove the decimal points. 25.6 multiplied by 10 is 256, and 100 multiplied by 10 is 1000. This means that option (D) 256 over 1000 is equivalent to 25.6 percent.

The line in a fraction means divide, so we can calculate 256 divided by 1000 or 25.6 divided by 100 to write this number as a decimal. Dividing by 1000 moves all of our digits three places to the right. So, this is equal to 0.256. Option (A) is also equivalent to 25.6 percent.

This suggests that option (B) is the correct answer as 2.56 is not equivalent or the same as 0.256. 2.56 is not equivalent to 25.6 percent as it is equal to 256 percent.

We know that the fraction three-fifths is equivalent to six-tenths as we can multiply the numerator and denominator by two. Six divided by 10 is equal to 0.6, so three-fifths is equivalent to 0.6. This means that 25 and three-fifths percent is the same as 25.6 percent. The only one of the numbers that is not equivalent to 25.6 percent is 2.56.

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