# Decimals, Fractions, and Percentages

Classified in Mathematics

Written at on English with a size of 446.16 KB.

## Standard Form/Scientific Notation

If you had a number like this:

54300000.0

Then you would have to make the number so it is under 10:

5**.**4300000

But you moved the decimal place 7 places to the left, so the standard form is:

5.43 x 10^{7}

## HINT

Recurring decimalsare written with a little dot or a line above a number to show that it goes on forever.

## HINT

Terminating decimalsare decimals that eventually stop and arenotrecurring.

## Rounding

When rounding, you round to the nearest number with the amount of decimal places provided. For example:

59.54

The critical digit (last number) determines what the number will be. In this example, the critical digit is 4. **4 or less, let it rest. 5 or more, raise the score.** So because the critical digit is 4, you would round the number to 59.5.

8 8 - **4 SPOTS AFTER THE DECIMAL PLACES**

x 2 . 3 4

1 3 . 7 5 9 2 - **Answer**

## Dividing Decimals

- **PUT THE DECIMAL PLACE WHERE IT WOULD GO (LINE IT UP)**

## HINT

Powers of 10 are 10, 100, 1000, 10000, etc.;

### BODMAS

This is BODMAS. When solving an equation, solve in this order:

**B**rackets**I**ndices**D**ivision**M**ultiplication**A**ddition**S**ubtraction

## Converting Decimals to Fractions

- 0.8 - 8/10 -
**Simplify if possible** - 0.56 - 56/100 -
**Simplify if possible** - 0.024 - 24/1000 -
**Simplify if possible**

## Converting Fractions to Decimals

- 247/1000 -
**Put as a decimal (0.247)** - 7/25 -
**Make 25 a power of 10, you multiply 25 by 4 to make it 100,***and*7 because if you multiply the bottom, you have to do the same to the top. - 5/8 -
**Because 8 can't be a power of 10, you do 5 ÷ 8 = 0.625 - 0.625 would be the decimal.**

## Converting Percentages to Decimals

**e.g. 35% = 0.35**

To convert to a decimal, you have to divide the percentage by 100, meaning you can just move the decimal place 2 spots to the left.

## Converting Decimals to Percentages

**e.g. 0.78 = 78%**

Converting to a percentage is the opposite of converting to a decimal. You have to multiply by 100 by moving the decimal point 2 places to the right.