In the number 0.0004560, how many significant figures are present?

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Question: In the number 0.0004560, how many significant figures are present?

Options:

Correct Answer: 4

Solution:

The leading zeros are not significant, but the trailing zero is significant. Therefore, it has 4 significant figures.

In the number 0.0004560, how many significant figures are present?

In the number 0.0004560, how many significant figures are present?

Step 1: Identify the number given, which is 0.0004560.
Step 2: Understand that leading zeros (the zeros before the first non-zero digit) are not significant. In this case, the zeros before 4 are leading zeros.
Step 3: Count the non-zero digits. The digits 4, 5, and 6 are non-zero and are significant.
Step 4: Check for any trailing zeros (zeros after the last non-zero digit). The zero at the end of 4560 is a trailing zero and is significant.
Step 5: Add the significant figures together. You have 3 significant figures from 4, 5, and 6, plus 1 from the trailing zero, making a total of 4 significant figures.

Significant Figures – Understanding how to identify significant figures in a number, including the treatment of leading and trailing zeros.
Leading and Trailing Zeros – Recognizing that leading zeros are not significant while trailing zeros in a decimal context are significant.