After rounding off the number 4621 to 2 significant digits the value becomes
A
4600
B
4620
C
4700
D
4720
Text Solution
AI Generated Solution
The correct Answer is:
To round off the number 4621 to 2 significant digits, we can follow these steps:
### Step-by-Step Solution:
1. **Identify the Number**: The given number is 4621.
2. **Count Significant Figures**: Determine how many significant figures are in the number. The digits 4, 6, 2, and 1 are all non-zero, so there are 4 significant figures in total.
3. **Identify the First Two Significant Figures**: The first two significant figures in 4621 are 4 and 6.
4. **Look at the Next Digit**: The digit following the second significant figure (which is 6) is 2.
5. **Apply Rounding Rules**: According to rounding rules:
- If the next digit (2) is less than 5, we do not round up the last significant figure (6).
- Since 2 is less than 5, we keep the 6 as it is.
6. **Write the Rounded Number**: Therefore, after rounding off to 2 significant figures, the number becomes 46.
### Final Answer:
After rounding off the number 4621 to 2 significant digits, the value becomes **46**.
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