Significant Figures and Calculations

How many significant figures are present in the number 0.004560?

What is the correct number of significant figures in the number 0.0003005?

When adding 12.11 and 0.3, to what decimal place should the result be rounded?

If the number 4500 is represented in scientific notation as 4.5 × 10^3, how many significant figures does it have?

Which of the following numbers has the most significant figures?

Significant Figures

Significant figures are digits in a measurement that are known with certainty plus the first doubtful digit
The uncertainty of a number is often not explicitly stated and instead indicated by the meaningful digits, or significant figures, of the measured value.
Non-zero digits are always significant
Zeroes between significant figures are significant
Zeroes to the left of significant figures are not significant
Zeroes to the right of significant figures in decimal fractions are significant; otherwise, they may or may not be significant. The number of significant figures in a measurement depends on the measuring instrument's least count.

Rules for Calculations

Addition and subtraction: The least precise quantity during addition or subtraction dictates the result's precision. Round the final answer to the same number of decimal places as the quantity with the fewest decimal places.
When using a calculator for significant figure calculations, keep track of the significant figure in each quantity to report the result with the correct precision.

This quiz covers the rules of significant figures and their application in calculations. Test your knowledge on identifying significant digits, applying precision rules in addition and subtraction, and understanding the role of measuring instruments. Perfect for students looking to improve their mathematical accuracy.