If a measurement is recorded as 0.00780, how many significant figures does it co

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Question: If a measurement is recorded as 0.00780, how many significant figures does it contain?

Options:

Correct Answer: 4

Solution:

The leading zeros are not significant, but the trailing zero after 78 is significant. Therefore, it has 3 significant figures.

If a measurement is recorded as 0.00780, how many significant figures does it contain?

If a measurement is recorded as 0.00780, how many significant figures does it contain?

Step 1: Identify the number given, which is 0.00780.
Step 2: Look at the leading zeros (the zeros before the first non-zero digit). These are not significant. In this case, the leading zeros are 0.00.
Step 3: Identify the non-zero digits. The first non-zero digit is 7, followed by 8.
Step 4: Count the non-zero digits. Here, we have 7 and 8, which gives us 2 significant figures so far.
Step 5: Look at the trailing zero (the zero after the last non-zero digit, which is 8). This zero is significant because it comes after a decimal point and a non-zero digit.
Step 6: Add the trailing zero to the count of significant figures. Now we have 2 (from 7 and 8) + 1 (from the trailing zero) = 3 significant figures.

Significant Figures – Understanding how to identify significant figures in a number, including the rules for leading zeros, trailing zeros, and non-zero digits.