Significant Figures Math Example 3
Follow the full solution, then compare it with the other examples linked below.
Example 3
easyRound each to significant figures: (a) , (b) , (c) .
Solution
- 1 (a) : significant digits are . Keep first : ; next digit , round up: .
- 2 (b) : significant digits . Keep ; next digit , round up: .
- 3 (c) : digits . Keep first (); next digit , round up: , expressed as to show sig figs.
Answer
(a) ; (b) ; (c) .
Rounding cascades when a digit rounds up to : the carry propagates left, potentially changing the order of magnitude as in (c). Using scientific notation for (c) preserves the intended precision of significant figures.
About Significant Figures
Significant figures are the meaningful digits in a measured quantity, reflecting its precision.
Learn more about Significant Figures โMore Significant Figures Examples
Example 1 easy
Count the significant figures in each number: (a) [formula], (b) [formula], (c) [formula].
Example 2 mediumA rectangle measures [formula] cm by [formula] cm. Calculate the area to the correct number of signi
Example 4 mediumA chemist measures [formula] mL of solution using a burette and [formula] mL using a dropper. She ad