Question

Find the value of 15% of 15.

Answer 1

Hint: First convert percent number to the fraction then multiply it by the number given to find the desired result.

Complete step-by-step answer:
In the question, we have to find out the value of a given expression (15% of 15).
In the expression % is called percentage. At first we will learn about this term percentage.
In mathematics, a percentage (from Latin percentum “ by a hundred”) is a number of ratios expressed as a fraction of 100. It is often denoted by using the ‘%’ sign or the abbreviations “pct”, “pct” sometimes “pc” is also used. A percentage is dimensionless or pure number.
For example: 45% is read a forty – five percent is equal to \[\dfrac{45}{100}\] or 0.45.
The term percent is derived from the Latin percentum meaning “ by the 100”. The sign for “percent” evolved by a gradual contraction of the Italian term per cento, meaning “for a hundred”. The “per” was often abbreviated as “p” and eventually disappeared entirely. The word cento was contracted to two circles separated by horizontal lines, from which modern “%” is derived.
The percent value is completed by multiplying the numeric value of the ratio by 100.
Now to calculate the percentage for a value of a number then we change the percentage to the fraction by dividing it with 100 and then multiplying the fraction with number. So we are given the question to find 15% of 15.
So, we will first change 15% to the fraction by \[\dfrac{15}{100}\] which is also equal to \[\dfrac{3}{20}\]. Now, we will multiply the fraction with the given number.
So, we get, \[\dfrac{3}{20}\times 15=2.25\].
So, the correct answer is 2.25.
Note: Students should know about the meaning of % sign, how to change it to fraction, how to take percent values of numbers.
They should also be careful about the calculations.