Question: How should the number 0.05060 be rounded to three significant figures?
Options:
0.051
0.0506
0.05060
0.050
Correct Answer: 0.0506
Solution:
To round 0.05060 to three significant figures, we keep the first three significant digits (5, 0, and 6), resulting in 0.0506.
How should the number 0.05060 be rounded to three significant figures?
Practice Questions
Q1
How should the number 0.05060 be rounded to three significant figures?
0.051
0.0506
0.05060
0.050
Questions & Step-by-Step Solutions
How should the number 0.05060 be rounded to three significant figures?
Correct Answer: 0.0506
Step 1: Identify the significant figures in the number 0.05060. The significant figures are the non-zero digits and any zeros that are between them or after a decimal point. In this case, the significant figures are 5, 0, and 6.
Step 2: Count the first three significant figures. The first three significant figures are 5 (first), 0 (second), and 6 (third).
Step 3: Look at the digit immediately after the third significant figure to determine if rounding is needed. The digit after 6 is 0.
Step 4: Since the digit after 6 is 0 (which is less than 5), we do not round up. We keep the first three significant figures as they are.
Step 5: Write the rounded number, which is 0.0506.
Significant Figures – Understanding how to identify and round numbers based on significant figures.
Leading Zeros – Recognizing that leading zeros do not count as significant figures.
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