In these lessons, we will learn how to write whole numbers in expanded notation and how to write decimals in expanded notation.
Related Topics:
Place Value Games
Place Value Worksheets
The digits in the number 3,463,352 has the following place values and values of digit.
Place value |
Millions |
Hundred thousands |
Ten thousands |
Thousands |
Hundreds |
Tens |
Ones |
Value of digit |
3 000 000 |
400 000 |
60 000 |
3 000 |
300 |
50 |
2 |
We can add the values of the digits to get the number.
3,000,000 + 400,000 + 60,000 + 3,000 + 300 + 50 + 2 = 3,463,352
To show the place values of the digits in a number, we can write the number with expanded notation.
Example:
Write 62,502 in expanded notation.
Solution:
62,502 = 60,000 + 2,000 + 500 + 2
Write the ten thousands: 60,000 as 6 × 10,000
Write the thousands: 2,000 as 2 × 1,000
Write the hundreds: 500 as 5 × 100
Write the tens: 0 as 0 × 10
Write the ones: 2 as 2 × 1
So, 62,502 = (6 × 10,000) + (2 × 1,000) + (5 × 100) + (2 × 1)
Example:
Write 4,205,891 in expanded notation.
Solution:
4,205,891 = 4,000,000 + 200,000 + 5,000 + 800 + 90 + 1
= (4 × 1,000,000) + (2 × 100,000) + (5 × 1,000) + (8 × 100) + (9 × 10) + (1 × 1)