When rounding the number 0.006789 to three significant figures, what is the resu

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Question: When rounding the number 0.006789 to three significant figures, what is the result?

Options:

Correct Answer: 0.00679

Solution:

Rounding 0.006789 to three significant figures gives 0.00679.

When rounding the number 0.006789 to three significant figures, what is the result?

When rounding the number 0.006789 to three significant figures, what is the result?

Step 1: Identify the significant figures in the number 0.006789. Significant figures are the digits that carry meaning contributing to its precision.
Step 2: Ignore the leading zeros (0.00) because they are not significant. The significant figures start from the first non-zero digit.
Step 3: The first three significant figures in 0.006789 are 6, 7, and 8.
Step 4: Look at the digit after the third significant figure (which is 9) to determine if we need to round up or keep it the same.
Step 5: Since the digit after 8 is 9 (which is 5 or greater), we round up the last significant figure (8) to 9.
Step 6: Write the rounded number, keeping the leading zeros. The result is 0.00679.

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