Understanding Significant Figures and Rounding in Mathematics
This chapter focuses on standard form and the significance of significant figures in both integer and decimal numbers. It explores how to identify significant digits, including special cases, and provides practical examples to illustrate these concepts. Additionally, it covers rounding off numbers to one, two, and three significant figures, showcasing various scenarios. This is essential knowledge for anyone studying mathematics or science, as it helps ensure precision in calculations and data representation.
Understanding Significant Figures and Rounding in Mathematics
E N D
Presentation Transcript
SIGNIFICANT FIGURE DIGITS WHICH ARE RELEVANT IN AN INTEGER OR A DECIMAL NUMBER 2 3 4 5 3* 1 2* 4 5 5 5 8 3 * Special case
NOW…TRY THIS! 3.000 => 245.00 => 0.00320 => 0.000030 => 0.02 => 0.02004800 => 4.0061 => 2500 => 4 5 3 2 1 7 5 or 3 or 4 2 Depend on the question
ROUNDING OFF Round off to 1, 2 and 3 s.f 0.00453 8 1 2 3 4 0.005 – 1 s.f 0.004 5 3 8 0.004 5 3 8 0.0045 – 2 s.f 0.00454 – 3 s.f 0.004 5 3 8
ROUNDING OFF 2 500 2540 3 000 3 2 000 3 1 600 3 0 000 2.07 2 2. 1 0.006 0.0062 0.00617 0.71 0.715 0.7
NOW…TRY THIS! • 2.61 (1 S.F) • 2.386 (2 S.F) • 5217 (2 S.F) • 5217 (3 S.F) • 0.829 (2 S.F) • 0.06127 (2 S.F) • 0.12015 (3 S.F)
