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Algebra I: High School20 chapters | 168 lessons | 1 flashcard set

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Lesson Transcript

Instructor:
*Jennifer Beddoe*

Knowing how to convert a percent to a decimal can be a useful skill in many different situations. This lesson will show you how to perform that conversion and places where this skill will be helpful.

The other day I was starving, had no food in the house and my wallet was empty. I dug through the pockets of all my pants and grabbed all the change I could find from other places around the house and came up with a total of $4.37.

I hopped in the car and drove to the nearest burger place. The price of a combo is $3.99; it's going to be close. I know that the sales tax is seven percent. So, I have everything I need to figure out if I found enough change to get that combo for dinner.

In order to figure out the problem above, I first have to convert the percent sales tax to a decimal. Before we can do that, we need to talk about what 'percent' means. The word '**percent**' means 'per one hundred,' so 50% is 50 per 100, or 50/100. To convert this to a decimal, simply divide the percent by 100 and drop the percent symbol (%). 50/100 = 0.50. An even easier way to do this is to just move the decimal place to the left two places.

Now, how on Earth is that going to help me figure out if I have enough money to buy dinner? Well, the first step is to convert the seven percent sales tax to a decimal. Then I can multiply it to the cost of the combo ($3.99) to determine the amount of the tax. When I add the tax to the price, I will get the total amount I have to pay.

- Convert seven percent to a decimal. The easy way to do this is to move the decimal point to the left two places, which gives me 0.07.
- Multiply 0.07 * 3.99. The amount of sales tax I will have to pay is 0.28, or 28 cents.
- Add the tax amount to the price of the combo to get the total. 3.99 + 0.28 = 4.27.

The total amount I will have to pay to eat dinner is $4.27, and my $4.37 is enough to cover it.

The word '**percent**' means 'per one hundred,' and so to convert a percent to a decimal, all you need to do is divide it by 100. You can also just move the decimal place over two spaces to the left to obtain the decimal form of a percent. Knowing how to convert a percent to a decimal can be helpful when trying to figure out discounts, sales tax or how much of a tip to leave your server.

After watching this lesson, you should be able to understand how to convert percents to decimals and apply the skill to real-world situations.

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Algebra I: High School20 chapters | 168 lessons | 1 flashcard set

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