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How should the number 0.0001234 be rounded to two significant figures?
Practice Questions
Q1
How should the number 0.0001234 be rounded to two significant figures?
0.00012
0.00013
0.0001
0.000123
Questions & Step-by-Step Solutions
How should the number 0.0001234 be rounded to two significant figures?
Steps
Concepts
Step 1: Identify the number you want to round, which is 0.0001234.
Step 2: Find the first two non-zero digits in the number. In 0.0001234, the first two non-zero digits are 1 and 2.
Step 3: Look at the digit immediately after the second significant figure (which is 2). This digit is 3.
Step 4: Since 3 is less than 5, we do not round up the 2.
Step 5: Write down the first two significant figures (1 and 2) and replace the rest with zeros, resulting in 0.00012.
Step 6: Adjust the number to maintain the same decimal placement, which gives us 0.00013.
Significant Figures
– Understanding how to identify and round significant figures in a number.
Rounding Rules
– Applying the correct rules for rounding based on the digits following the significant figures.
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