## Unit 6 - Large Numbers and Addition

## Base-ten numeral form

The base-ten number system is a "place value" system. Any number can represent a different value depending on where it appears in the written number.

For example:

When you are asked to write a number in base-ten numeral form you simply write out the number using digits. 100, 345, 657, 221, 285

For example:

- 2 = 2 if it's in the ones place
- 2 = 20 if it's in the tens place
- 2 = 200 if it is in the hundreds place
- 2 = 2,000 if it's in the thousands place

When you are asked to write a number in base-ten numeral form you simply write out the number using digits. 100, 345, 657, 221, 285

## Written form

When asked to write numbers in written form, you simple write out the number using words. Each place value should be identified.

For example:

For example:

- 1,043 = one thousand forty three
- 74 = seventy four
- 100 = one hundred
- 285 = two hundred eighty five
- 9 = nine

## Expanded form

Expanded form is a way to write a number that shows the sum of values of each digit of a number.

For example:

367 = 300 + 60 + 7

8,924 = 8,000 + 900 + 20 + 4

two hundred fifteen = 200 + 15

seven thousand fifty nine = 7,059

twenty - 20 + 0

For example:

367 = 300 + 60 + 7

8,924 = 8,000 + 900 + 20 + 4

two hundred fifteen = 200 + 15

seven thousand fifty nine = 7,059

twenty - 20 + 0