Question

How do you find the decimal notation $3\%$ ?

Answer 1

Hint: In this question, we have to find the decimal number of a percentage. As we know, a percentage is the proportion of an amount of the whole. It is denoted by a symbol % and is usually amount in each hundred. We commonly use the percentage for discounts in shops, bank interest, inflation rates, etc. A decimal is a number that separates the whole part and the fractional part by a decimal point. So, to solve this problem, we will use the basic mathematical rules to get the solution to the problem. We first change the % sign and then try to remove the denominator by putting the decimal point in the numerator, to get the required solution to the problem.

Complete step by step answer:
According to the question, we have to find the decimal notation from a percentage.
So, we will use the basic mathematical rule to solve the problem
The percentage given to us is $3\%$ ------- (1)
We now first remove the percentage sign in equation (1) by dividing the number by 100, we get
$\dfrac{3}{100}$
So, we will remove one zero from the denominator in the above equation by putting the decimal sign on the left-hand side of the number in the numerator, we get
$\dfrac{0.3}{10}$
Now, we will again remove one zero from the denominator in the above equation by putting a zero on the left-hand side of the number in the numerator, we get
$0.03$ which is our required answer.

Therefore, for the percentage $3\%$ , its decimal notation is equal to $0.03$ .

Note: While solving the problem, do maintain the steps carefully and mention all the steps to avoid mathematical mistakes. While removing the denominator, we put the decimal sign on the left-hand side of the number and not on the right-hand side of the number. One of the alternative methods to solve this problem is using the formula $1\%=\dfrac{1}{100}$ , then multiply both sides of the equation by 3 and then remove the denominator by putting the decimal sign on the numerator, to get the required solution of the problem.