Which of the following is the decimal form of 98.2%?
A.
9.82
B.
9820
C.
982
D.
0.982
The correct answer and Explanation is :
The correct answer is D. 0.982.
To convert a percentage to its decimal form, you need to divide the percentage by 100. This is because percentages are based on a fraction of 100. Here’s a step-by-step explanation of how to perform this conversion:
- Understand the Concept of Percentage: A percentage is a way to express a number as a fraction of 100. For example, 98.2% means 98.2 out of every 100 parts.
- Convert Percentage to Decimal: To convert a percentage to a decimal, you divide the percentage value by 100. This can be done by moving the decimal point two places to the left. For example, to convert 98.2% to a decimal:
- Start with 98.2%.
- Move the decimal point two places to the left. If we start with 98.2, moving the decimal point two places left turns it into 0.982.
- Verification: To confirm this, you can perform the calculation: [
\frac{98.2}{100} = 0.982
] This confirms that the decimal equivalent of 98.2% is indeed 0.982. - Other Options: Let’s review why the other options are incorrect:
- Option A (9.82): This is not correct because it represents 982%, not 98.2%.
- Option B (9820): This is far too large, representing 982000% rather than 98.2%.
- Option C (982): This is incorrect as it represents 98200%, not 98.2%.
In summary, converting 98.2% to decimal form involves dividing by 100, which yields 0.982. Thus, the correct answer is D. 0.982.