To round [tex]$481,297$[/tex] to the nearest ten thousand, we follow these steps:
1. Identify the ten thousand digit and the digit to its immediate right. In the number [tex]$481,297$[/tex], the ten thousand digit is [tex]$8$[/tex] and the digit to its right is [tex]$1$[/tex].
2. Decide if we need to round up or down:
- If the digit to the right of the ten thousand place is [tex]$5$[/tex] or higher, we round up.
- If the digit to the right of the ten thousand place is [tex]$4$[/tex] or lower, we round down.
3. In this case, the digit to the right of [tex]$8$[/tex] is [tex]$1$[/tex], which is less than [tex]$5$[/tex]. Therefore, we will round down.
4. When we round down, the ten thousand digit stays the same ([tex]$8$[/tex]), and all digits to its right become zero.
So, rounding [tex]$481,297$[/tex] to the nearest ten thousand yields [tex]$480,000$[/tex].
