Grade 5 · Number · Whole Numbers to 100,000
Understand Numbers to 100,000
A digit's value depends on its position. Moving one place left makes its value ten times as large.
The big idea
Every place is ten times the place to its right
In 84,307, the 8 represents 80,000, while the 4 represents 4,000. The zero keeps the tens place open even though there are no tens.
Work it through
Decompose 84,307
- 1. Name each place: 8 ten-thousands, 4 thousands, 3 hundreds, 0 tens, and 7 ones.
- 2. Write each non-zero value: 80,000, 4,000, 300, and 7.
- 3. Combine the values: 80,000 + 4,000 + 300 + 7 = 84,307.