4 Ways to Write a Number

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4 Ways to Write a Number
Standard Form: A number written with one digit for each place value
(Numerical Form)
Example: 356
12,502
Word Form: A number written in words
Example: seven hundred thirty-six
Ten thousand four hundred five
Expanded Form: A way to write numbers that shows that value of each digit
Example: 70,000 + 8,000 + 60 + 3
1,000 + 700 + 40 + 1
Expanded Notation: When you multiply the number by its place value and then add
them together
Example: (6  100,000) + (3  1,000) + (4  100) + (2  10) + (7  1)
(2  10,000) + (5  1,000) + (9  10)
How To’s
Writing a Number in Word Form (from Standard)
62,048,706,003
Trillions
billions
millions
thousands
ones
Sixty-two billion forty-eight million seven hundred six thousand three
*Each group of 3 numbers between commas are called Periods!
Writing a Number in Standard Form (from Word)
Three trillion four hundred thirty-eight million thirty thousand four hundred eight
0 _
0 _,
0
8 0 _
3 _,_
0 0 _
0 _
0
3,_
_4 _3 _,_
Expanded Notation
Standard Form to Expanded Notation
Example
39,080,705,003
(3 is in the 10 billions place)
(3  10,000,000,000) + (9  1,000,000,000) + (8  10,000,000) + (7  100,000) +
(5  1,000) + (3  1)
Expanded Notation to Standard Form
Example 1
(5  100,000,000) + (2  10)
To set it up: 5 followed by 8 blanks from 8 zeros in the first set of parentheses
5 __ __, __ __ __, __ 2 __
Empty blanks are filled with zeros!
Example 2
(4  100,000,000) + (6  1,000,000) + (5  10,000) + (7  100) + (8  10)
4 0 6, 0 5 0, 7 8 0
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