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When rounding the number 0.006789 to three significant figures, what is the resu
When rounding the number 0.006789 to three significant figures, what is the result?
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Practice Questions
1 question
Q1
When rounding the number 0.006789 to three significant figures, what is the result?
0.00678
0.00679
0.0067
0.0068
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Rounding 0.006789 to three significant figures gives 0.00679.
Questions & Step-by-step Solutions
1 item
Q
Q: When rounding the number 0.006789 to three significant figures, what is the result?
Solution:
Rounding 0.006789 to three significant figures gives 0.00679.
Steps: 6
Show Steps
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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