For multiplication and division use the following rule: The LEAST number of significant figures in any number of the problem determines the number of significant figures in the answer.
For example, 0.00798 contained three significant digits. All zeros that are on the right of a decimal point are significant, only if, a non-zero digit does not follow them. For example, 20.00 contains four significant digits....Significant Figures Examples.NumberNumber of Significant digits/figures5002Four3800Two3 more rows
Significant FiguresAnnotation category: ... RULES FOR SIGNIFICANT FIGURES.All non-zero numbers ARE significant. ... Zeros between two non-zero digits ARE significant. ... Leading zeros are NOT significant. ... Trailing zeros to the right of the decimal ARE significant.More items...
We round up or down just as we did for any other number of decimal places. If the first figure after the decimal point is 0, 1, 2, 3, or 4 we round down, if the first figure after the decimal point is 5, 6, 7, 8, or 9 we round up.
In a given number, all the certain digits plus one doubtful digit correspond to significant figures. They depend on the precision of the scale or the instrument used for the measurement. For example, the number 1. 587 represents four significant figures (three are certain and one is doubtful).
two significant digitsThe number 1.0 also has two significant digits. So does the number 130, but 10 and 100 only have one "sig fig" as written. Zeros that only hold places are not considered to be significant.
Zeros between non zero digits are significant. Zeros to the left of the first non zero digit are not significant. more easily seen if it is written as 3.4x10-5) ~ 0.001111 has four significant figures. Trailing zeros (the right most zeros) are significant when there is a decimal point in the number.
2:594:23Rounding 2 — Significant Figures - YouTubeYouTubeStart of suggested clipEnd of suggested clipFirst find the position of the last digit. Then look at the next digit to the right the decider ifMoreFirst find the position of the last digit. Then look at the next digit to the right the decider if the decider is 5 or more round up the last digit.
1:587:57Scientific Notation and Significant Figures (1.7) - YouTubeYouTubeStart of suggested clipEnd of suggested clipProblems okay the first thing we're going to do is we're going to take 2.0. And divide it by 8.MoreProblems okay the first thing we're going to do is we're going to take 2.0. And divide it by 8. Point three zero okay. So 2.0 divided by eight point three three zero.
Rules for significant figures: E.g. 1009 has 4 significant figures, 3.02 has 3 significant figures.