what is 85% in decimal form?
The correct answer and explanation is:
The decimal form of 85% is 0.85.
To convert a percentage to a decimal, you divide the percentage value by 100. This is because the term “percent” means “per hundred.” So, 85% literally means 85 out of 100. When converting 85% to decimal form, the calculation is:
85 ÷ 100 = 0.85
This conversion works for any percentage. For example, 50% becomes 0.50, 10% becomes 0.10, and 1% becomes 0.01 when converted to decimals. The decimal represents the same proportion or part of a whole as the percentage but expressed in a format that is useful for mathematical calculations.
Using decimals instead of percentages is often preferred in calculations because decimals can be easily used in operations like multiplication, division, addition, and subtraction without the need to convert back and forth. For instance, if you want to find 85% of a number, you multiply that number by 0.85. For example, to find 85% of 200, you calculate 200 × 0.85 = 170.
In summary, 85% expressed as a decimal is 0.85, and this conversion is done by dividing the percentage by 100. This allows easy application in many mathematical and real-world problems involving proportions, ratios, and fractions.