To determine the correct expanded form of the number words "three hundred forty-eight thousand," let's break down the number step-by-step.
1. Understanding the number place values:
- "Three hundred" corresponds to the hundred thousand place.
- "Forty-eight" corresponds to the ten thousand and thousand places.
2. Breaking down the number:
- Three hundred thousand: This translates to 300,000.
- Forty thousand: This translates to 40,000.
- Eight thousand: This translates to 8,000.
So, the correct expanded form must include 300,000 (three hundred thousand), 40,000 (forty thousand), and 8,000 (eight thousand).
3. Evaluating the options:
- [tex]$30,000 + 40,000 + 8,000$[/tex]: This only sums up to 78,000, which is not the desired number.
- [tex]$300,000 + 40,000 + 8,000$[/tex]: This sums up to 348,000, matching the number "three hundred forty-eight thousand."
- [tex]$300,000 + 400 + 80$[/tex]: This sum is way off, totaling to 300,480, which is incorrect.
- [tex]$300,000 + 4,000 + 80$[/tex]: This sum totals to 304,080, which is also incorrect.
- [tex]$30,000 + 4,000 + 800$[/tex]: This sum is way off, totaling to 34,800, which is incorrect.
Given the breakdown, the correct expanded form representing the number "three hundred forty-eight thousand" is:
[tex]$300,000 + 40,000 + 8,000$[/tex]
