# The Most Valuable Everyday Math Skill

(via Brett Berry/medium.com)

Percentages. They come up all the time, in the most casual places: shopping, dining out, grabbing a latte, checking grades, banking, taxes … that makes them the most valuable everyday math skill I can teach you.

I’m proud to say my mom taught me this trick when I was very young. We’d spend Saturdays shopping and she’d quiz me over and over, having me calculate the discounts mentally.

I cannot stress enough how much I want you to master this! The next time you’re out dining, I want you to fill in the tip on your receipt with confidence and gusto and without even one glance at your phone calculator. How’s that sound?

## A Little Trick

A percent represents the portion per 100. So 15% means fifteen per one-hundred. Of course most of the time we are not taking a percentage of 100, but of a different value like 10% of 250.

## The 10% Trick

To calculate 10% of a number, move the decimal point one position left.

Here are some examples to illustrate:

Why does this work?

Suppose we were calculating 10% of 250 long-hand. I would begin by rewriting 10% as 10/100 and multiplying.

Then I’d reduce 10/100 by canceling out factors of 10.

When dividing by 10 we move the decimal point one place to the left. So 10% of 250 is 25.

## Calculating Restaurant Tips

Using the trick we can calculate common tip percentages of 10%, 15% and 20% mentally. Suppose your dinner bill comes to \$48.50.

10% Tip Mentally

To find 10%, use the 10% trick.

15% Tip Mentally

To calculate 15% combine 10% and 5% of \$48.50. Five percent is half of ten percent, so 5% of \$48.50 will be half of 10% of \$48.50.

For practical purposes you can approximate the tip, so feel free to round up to \$2.50. Finally combine the 10 and 5 percent approximations.

20% Tip Mentally

To find 20% double the 10 percent value.

## Calculating Discounts

Another everyday scenario where you might encounter percents is while shopping. For example, suppose we have a sub-total of \$168.75. Let’s calculate a variety of possible discounts.

10% off

First take 10 percent of \$168.75.

Since it is 10% off, subtract \$16.88 from \$168.75. An estimate will suit our purposes so round \$168.75 and \$16.88 to the nearest dollar and subtract.

Our estimation is very close, only 13 cents over the exact answer.

25% off

Now let’s try 25% off. We have two options for finding 25% mentally:

1. 25% is one-fourth of 100 percent, so we may divide our total by 4.

2. we may compose 25% by adding two 10%’s and one 5%.

Option One:

Since an estimate is suitable begin by rounding \$168.75 to \$170 and then use strategic division to divide \$170 mentally.

Likewise, \$85 ÷ 2 can be split apart and divided individually by 2 to yield \$42.50.

Hence the total after discount is approximately \$127.50.

Option Two:

Using this method we’ll compose 25% from 10% and 5%. First, approximate 10%.

30% off

To calculate 30% add together three 10%’s. We’ve already approximated 10% of 168.75 as 17, so add three 17’s together.

Therefore 30% off is \$51 off and the total after discount is about \$119.

50% off

Fifty percent is half off. All we need to do is divide 170 by 2. Therefore the total after discount is \$85.

That’s a great start! These techniques will aid you in most percentages you’ll experience day-to-day.

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