Decimals and Percentage
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Algebra › Decimals and Percentage
If you have dollars yet to pay on a
dollar loan, what percentage of your loan do you still owe?
Explanation
To solve this problem, divide the amount owed by the total amount. This will yield you a decimal. Then, to find the percentage equivalent of a decimal, simply move the decimal (if there is none, remember that there is always an implied decimal after the one's digit) to the right twice. The best answer is:
Solve the problem and convert the answer to a percentage.
Explanation
To convert decimal to percentage, move the decimal to places to the right, resulting in
\Alternatively, we could convert the decimals to percentages from the beginning. .
Find the percentage equivalent for the following decimal:
Explanation
In order to find the percentage equivalent for a decimal, all we have to do is multiply our decimal by 100. We can also move the decimal point to the right two spaces.
What is the decimal equivalence of 46%?
Explanation
This problem is simply asking us to convert 46% into its decimal equivalence.
The quickest way to switch between decimals and percentage is by keeping in mind that it is a factor of 100. For instance, decimals may be converted to percents by multiplying by 100 whereas turning percents to decimals would be the opposite operation (division). This is true because by definition, a percentage is a portion of 100. In this case, we are interested in a portion of 46.
Given this information,
we may convert from percent to decimal. This would require dividing by 100.
What is the decimal equivalent of ?
Explanation
When presented with a percentage, we can effectively "move" the decimal point over two spots and arrive at the equivalent decimal. In our example, turns to
in decimal form.
Which of the following is the decimal equivalent of ?
Explanation
To find the decimal equivalent of a percentage, simply move the decimal (if there is none, remember that there is always an implied decimal after the one's digit) to the left twice. In other words, divide the percentage by one hundred.
Thus, the answer is:
or by dividing by one hundred. Then multiply the numerator by ten to eliminate the decimal. Once the decimal is eliminated, perform division as usual.
If you owe the bank of
dollars, how much money do you owe them?
Round your answer to the nearest cent.
Explanation
To solve this problem, first, you must convert the percentage above into a decimal.
To find the decimal equivalent of a percentage, simply move the decimal (if there is none, remember that there is always an implied decimal after the one's digit) to the left twice. In other words divide the percentage by one hundred.
Then, you take your result and multiply it by the initial amount for your answer:
If you have dollars yet to pay on a
dollar loan, what percentage of your loan do you still owe?
Explanation
To solve this problem, divide the amount owed by the total amount. This will yield you a decimal. Then, to find the percentage equivalent of a decimal, simply move the decimal (if there is none, remember that there is always an implied decimal after the one's digit) to the right twice. The best answer is:
If you have dollars yet to pay on a
dollar loan, what percentage of your loan have you already paid? Round your answer to the nearest whole percent.
Explanation
To solve this problem, first calculate the amount you have paid by subtracting the amount owed from the total. Then divide the amount paid by the total amount. This will yield you a decimal. Then, to find the percentage equivalent of a decimal, simply move the decimal (if there is none, remember that there is always an implied decimal after the one's digit) to the right twice. Don't forget to round. The best answer is:
Fill in the missing information.
Explanation
When reading aloud it reads
out of
, or "four tenths." This "four tenths" as a decimal is literally written
.
We could also use the other term given to find our answer. Decimals are found from percentages by moving the decimal point two places to the left. Given , the decimal moved results in
.