In the measurement 0.03040, how many significant figures are present?

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Question: In the measurement 0.03040, how many significant figures are present?

Options:

Correct Answer: 4

Solution:

In 0.03040, the leading zeros do not count, but the trailing zero after the decimal does. Therefore, there are 4 significant figures.

In the measurement 0.03040, how many significant figures are present?

In the measurement 0.03040, how many significant figures are present?

Step 1: Look at the number 0.03040.
Step 2: Identify the leading zeros. These are the zeros before the first non-zero digit (3). In this case, the leading zeros are 0.0.
Step 3: Count the leading zeros. They do not count as significant figures.
Step 4: Now look at the digits after the leading zeros: 3, 0, 4, and the trailing zero (0).
Step 5: The digits 3, 0, 4, and the trailing zero after the decimal point are all significant figures.
Step 6: Count the significant figures: 3, 0, 4, and the trailing 0 gives us a total of 4 significant figures.

Significant Figures – Significant figures are the digits in a number that contribute to its precision, including all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion.
Leading Zeros – Leading zeros are the zeros that precede all non-zero digits and do not count as significant figures.
Trailing Zeros – Trailing zeros in a decimal number are considered significant because they indicate precision.