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How do you convert 0.75 to a percentage?

To convert the decimal 0.750.75 into a percentage, you multiply it by 100100 and then append the percent symbol.

When you convert a decimal to a percentage, you are determining how many parts out of 100100 the decimal represents. To achieve this, you simply multiply the decimal by 100100. For example, for 0.750.75, the calculation is:

0.75×100=750.75 \times 100 = 75

After performing this multiplication, you add the percent symbol (%) to signify that the result is a percentage. Thus, 0.750.75 becomes 75%75\%. This indicates that 0.750.75 is equivalent to 7575 out of 100100, or 75%75\%.

This method of conversion applies to any decimal number. For instance, if you have 0.50.5, multiplying by 100100 gives you:

0.5×100=500.5 \times 100 = 50

Therefore, 0.50.5 is equal to 50%50\%. In a similar fashion, when you multiply 0.250.25 by 100100, you obtain:

0.25×100=250.25 \times 100 = 25

Thus, 0.250.25 translates to 25%25\%.

It’s important to note that multiplying by 100100 is effectively the same as shifting the decimal point two places to the right. This provides a quick method for converting any decimal into a percentage. For example, shifting the decimal point in 0.750.75 two places to the right yields 7575.

Understanding this conversion process is valuable in various mathematical contexts, including statistics, probability, and practical applications such as calculating discounts and interest rates.

Answered by: Prof. David Martin
A-Level Physics Tutor
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