Multiple Choice
When multiplying 3.24 (measured to three significant figures) by 0.56 (measured to two significant figures), to how many significant figures should the final answer be rounded?
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1. Intro to General Chemistry
Significant Figures
Multiple Choice
Which of the following digits are NOT considered significant when reporting a measured value?
A
Zeros between nonzero digits (e.g., 205)
B
Leading zeros in a decimal number (e.g., 0.0034)
C
Trailing zeros after a decimal point (e.g., 2.300)
D
All nonzero digits (e.g., 4, 7, 9)
Verified step by step guidance1
Understand the concept of significant figures: Significant figures in a measured value include all the digits that are known with certainty plus one final digit, which is somewhat uncertain or estimated.
Identify the types of digits in a number and their significance: Nonzero digits are always significant; zeros can be significant or not depending on their position.
Analyze leading zeros: Leading zeros are zeros that appear before all nonzero digits in a decimal number (e.g., 0.0034). These zeros only serve as placeholders and are NOT significant.
Analyze zeros between nonzero digits: Zeros between nonzero digits (e.g., 205) are always significant because they are measured or known digits.
Analyze trailing zeros after a decimal point: Trailing zeros after a decimal point (e.g., 2.300) are significant because they indicate precision in the measurement.
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