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Choose the correct alternative (s) from the following .

A

The number of significant figures in 0.080 is 2.

B

The number of significant figure is `3.04 xx 10^(23)` is 25

C

The number of significant figures in 0.01020 is 4.

D

The number of significant figures in `4.06 xx 10 ^(-4)` is 3.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding significant figures, we will analyze each option based on the rules of significant figures. Here’s a step-by-step breakdown: ### Step 1: Understand the Rules of Significant Figures 1. **Zeros between non-zero digits are significant.** 2. **Leading zeros to the left of the first non-zero digit are not significant.** 3. **Trailing zeros that are to the right of a decimal point in a number are significant.** ### Step 2: Analyze Each Option #### Option A: 0.080 - The number is 0.080. - According to the rules: - The leading zeros (0 before 8) are not significant. - The trailing zero (0 after 8) is significant. - Significant figures: 2 (the digits 8 and the trailing 0). - **Conclusion**: This option is **correct**. #### Option B: 3.04 x 10^23 - The number is 3.04. - According to the rules: - The zero between 3 and 4 is significant. - Significant figures: 3 (the digits 3, 0, and 4). - **Conclusion**: This option states there are 2 significant figures, which is **incorrect**. #### Option C: 0.01020 - The number is 0.01020. - According to the rules: - The leading zeros (0s before 1) are not significant. - The trailing zeros (0 after 2) are significant. - Significant figures: 4 (the digits 1, 2, and the trailing 0). - **Conclusion**: This option is **correct**. #### Option D: 4.06 x 10^-4 - The number is 4.06. - When written in decimal form, it is 0.000406. - According to the rules: - The leading zeros (0s before 4) are not significant. - The zero between 4 and 6 is significant. - Significant figures: 3 (the digits 4, 0, and 6). - **Conclusion**: This option is **correct**. ### Final Conclusion - The correct alternatives are: - **Option A**: Correct (2 significant figures) - **Option C**: Correct (4 significant figures) - **Option D**: Correct (3 significant figures) - **Option B**: Incorrect (3 significant figures) ### Summary of Answers: - Correct options: A, C, D - Incorrect option: B
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