Question
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Answer
**14,400**
Solution
To round **14421.79942** to **3 significant figures**, follow these steps:
1. **Identify the first three significant digits**:
- The number is **14421.79942**.
- The first three significant digits are **1**, **4**, and **4**.
2. **Determine the place value of the third significant digit**:
- The third significant digit (**4**) is in the **hundreds place**.
3. **Look at the digit immediately after the third significant digit**:
- The next digit is **2** (in the tens place).
- Since **2** is less than **5**, you do not round up.
4. **Apply rounding**:
- Keep the first three digits as they are: **14400**.
**Final Rounded Number:**
**14,400**
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Simplify this solution Extra Insights
To round 14421.79942 to three significant figures, you look at the first three non-zero digits, which are 1, 4, and 4. The digit following these figures is 2, which means you don’t round up the last digit. So, the rounded number is 14400. You can think of significant figures as a way to express both the precision of your measurement and to ensure clarity, especially when dealing with large or small numbers in science and engineering. Keeping the right number of significant figures helps to communicate just how precise your calculations or measurements are!
