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The number of significant figures in 450...

The number of significant figures in 45056 is

A

`2`

B

`3`

C

`4`

D

`5`

Text Solution

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The correct Answer is:
To determine the number of significant figures in the number 45056, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Number**: The given number is 45056. 2. **Recognize the Non-Zero Digits**: In the number 45056, the digits are 4, 5, 0, 5, and 6. The non-zero digits are 4, 5, 5, and 6. 3. **Count the Non-Zero Digits**: All non-zero digits are considered significant figures. Here, we have: - 4 (significant) - 5 (significant) - 5 (significant) - 6 (significant) This gives us a total of 4 significant figures from the non-zero digits. 4. **Identify the Zero**: The digit 0 is located between the non-zero digits 5 and 5. According to the rules of significant figures, any zeros that are between non-zero digits are also considered significant. 5. **Count the Zero as Significant**: Since the 0 is between the two 5s, it is significant. Therefore, we add this to our previous count: - Total significant figures = 4 (from non-zero digits) + 1 (from the zero) = 5. 6. **Final Count**: Thus, the total number of significant figures in 45056 is 5. ### Conclusion: The number of significant figures in 45056 is **5**.
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