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## Write in Standard Notation

#### Introduction

Standard notation is the usual way of writing numbers, where each digit represents a value. For example, if you wrote 765, that would be using standard notation. Expanded notation expands out the number, and would write it as 7 x 100 + 6 x 10 + 5. If you see a number written in expanded notation, you can convert it quickly into standard notation.

## Lesson

If you have a number written in expanded notation, and you want to convert it into standard notation, you need to multiply the different parts together.

For example, if you are given the expanded notation:

5 x 1,000 + 6 x 100 + 7 x 10 + 2

You can solve the multiplications first and then add the results together.

So:

5 x 1,000 = 5,000 6 x 100 = 600 7 x 10 = 70 2 = 2

Add these together and you get 5,672.

For an even faster way of converting, you can just take the digits from the expanded notation and write them in order, skipping out the multiples of 10. For example:

6 x 1000 + 4 x 100 + 1 x 10 + 9

Ignoring the multiples of 10 (1000,100, and 10) and then just combining the digits, you get 6,419.

## Examples

two hundred ninety
$\text{two hundred ninety} = \text{2 hundreds + 9 tens + 0 ones}$
$\text{2 hundreds + 9 tens + 0 ones} = 290$