© Denise Ritter

© Denise Ritter

Definitions:

Place Value:

Value given to the place a digit has in a number

Digit: 0,1,2,3,4,5,6,7,8, and 9

© Denise Ritter

Ways to show a number:

Expanded form:

A way to write a number that shows the place value of each digit

Ex. 9,000 + 300 + 20 + 5

Standard form: 9,325

Word form: A way to write a number using words

Ex. nine thousand, three hundred twenty five

© Denise Ritter

Place Value Chart

HundredThousand

TenThousand

Thousand

Thousands Period

Hundreds Tens Ones

Ones Period

,1 4 6 , 8 5 9

Place = home on the Place value chartPlace of the digit 4 = ten thousands

Place of the digit 8 = hundreds

Value of the digit 4 = 40,000 or 4 ten thousandsValue of the digit 8 = 800 or 8 hundreds

© Denise Ritter

Converting between expanded and standard form:

20,000 + 3,000 + 50 + 7 20,000

3,000

50

+ 7 23,057

This way you will always remember to put a zero to hold a place (No hundreds in ex.)

Or

Count the places in the largest value ex. 20,000 5 places

Now plug in the values:,2 3 5 70

© Denise Ritter

Converting between standard form and expanded form

23,057

20,000

Write the digit 2 and fill in the remaining places with zeros. Add a + sign and do the same for the remaining digits.

+ 3,000 + 50 + 7