Question
Cound the decimal number to the nearest thousandth. 5.99966
Ask by Phillips Vargas. in the United States
Jan 20,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
6.000
Solution
To round the decimal number **5.99966** to the nearest thousandth, follow these steps:
1. **Identify the Thousandths Place:**
- The thousandths place is the **third** digit after the decimal point.
- In **5.99966**, the thousandths digit is **9**.
2. **Look at the Next Digit (Ten-Thousandths Place):**
- The digit after the thousandths place is **6** (in the ten-thousandths place).
3. **Decide to Round Up or Stay:**
- If the next digit is **5 or greater**, you round up.
- Since **6** is greater than **5**, you round the thousandths digit up from **9** to **10**.
- However, since **10** isn't a single digit, it causes a carry-over:
- The thousandths digit becomes **0**, and the hundredths place is incremented by **1**.
- This process cascades, ultimately increasing the whole number part by **1**.
4. **Final Rounded Number:**
- After rounding, **5.99966** becomes **6.000**.
**Answer:**
6.000
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Simplify this solution Extra Insights
To round the decimal number 5.99966 to the nearest thousandth, you look at the digit in the ten-thousandths place, which is 6 (the fourth digit after the decimal). Since 6 is greater than or equal to 5, you round the thousandths place (the third digit, which is 9) up by 1. Therefore, 5.99966 rounded to the nearest thousandth is 6.000. Now, think of rounding as a fun game! Just like in sports, if a player scores just shy of a big number (like 5.999), you give them the boost they need to reach that next milestone (6.000)! It's all about pushing past the finish line!
