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How do you convert 0.6 to a percentage?

To convert the decimal 0.60.6 to a percentage, you multiply it by 100100, resulting in 60%60\%.

When transforming a decimal into a percentage, the process is straightforward: simply multiply the decimal by 100100. This operation is rooted in the meaning of the term “percent,” which translates to “per hundred.” Essentially, you are determining how many parts out of 100100 the decimal represents. For instance, when you multiply 0.60.6 by 100100, you arrive at 6060. Thus, we can conclude that 0.60.6 expressed as a percentage is 60%60\%.

To explain this further, consider 0.60.6 as equivalent to 66 tenths. When you multiply 66 tenths by 1010, you obtain 6060 hundredths, which can be interpreted as 6060 out of 100100, or 60%60\%. Another way to visualize this conversion is by shifting the decimal point two places to the right, which effectively achieves the same result as multiplying by 100100. Therefore, 0.60.6 converts to 60.060.0, or simply 60%60\%.

This conversion method applies universally to any decimal number. For example, if you take 0.250.25 and multiply it by 100100, you will get 25%25\%. Similarly, multiplying 1.751.75 by 100100 yields 175%175\%. It is important to remember that converting decimals to percentages is a valuable skill applicable in various mathematical fields, including statistics, probability, and practical situations like calculating discounts and interest rates.

Answered by: Dr. Angela Davis
GCSE Maths Tutor
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