Significant Figures.

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Presentation transcript:

Significant Figures

Non-zero digits are always significant.

Rules for Determining Whether Zeros Are Significant Figures Zeros between other non-zero digits are significant.

Rules for Determining Whether Zeros Are Significant Figures Zeros between other non-zero digits are significant. 50.3 m has three significant figures.

Rules for Determining Whether Zeros Are Significant Figures Zeros between other non-zero digits are significant. 50.3 m has three significant figures. 3.0025 s has five significant figures.

Rules for Determining Whether Zeros Are Significant Figures Zeros between other non-zero digits are significant. Zeros in front of non-zero digits are not significant.

Rules for Determining Whether Zeros Are Significant Figures Zeros between other non-zero digits are significant. Zeros in front of non-zero digits are not significant. 0.892 kg has three significant figures.

Rules for Determining Whether Zeros Are Significant Figures Zeros between other non-zero digits are significant. Zeros in front of non-zero digits are not significant. 0.892 kg has three significant figures. 0.0008 ms has one significant figure.

Rules for Determining Whether Zeros Are Significant Figures Zeros between other non-zero digits are significant. Zeros in front of non-zero digits are not significant. Zeros that are at the end of a number and also to the right of the decimal are significant.

Rules for Determining Whether Zeros Are Significant Figures Zeros between other non-zero digits are significant. Zeros in front of non-zero digits are not significant. Zeros that are at the end of a number and also to the right of the decimal are significant. 57.00 g has four significant figures.

Rules for Determining Whether Zeros Are Significant Figures Zeros between other non-zero digits are significant. Zeros in front of non-zero digits are not significant. Zeros that are at the end of a number and also to the right of the decimal are significant. 57.00 g has four significant figures. 2.000000 kg has seven significant figures.

Rules for Determining Whether Zeros Are Significant Figures Zeros between other non-zero digits are significant. Zeros in front of non-zero digits are not significant. Zeros that are at the end of a number and also to the right of the decimal are significant. Zeros at the end of a number but to the left of the decimal are significant if they have been measured or are the first estimated digit; otherwise, they are not significant. OUR TEXTBOOK TREATS THEM AS ALWAYS NOT SIGNIFICANT!

Rules for Determining Whether Zeros Are Significant Figures 1000 m may contain from one to four significant figures, depending on the precision of the measurement. For written problems in this course, it will be assumed that measurements like this have one significant figure.

Rules for Determining Whether Zeros Are Significant Figures 1000 m may contain from one to four significant figures, depending on the precision of the measurement. 20 m may contain one or two significant figures. For written problems in this course, it will be assumed that measurements like this have one significant figure.

Rules for Calculating with Significant Figures For addition or subtraction, round the final answer to the first column from the left containing an estimated digit.

Rules for Calculating with Significant Figures For addition or subtraction, round the final answer to the first column from the left containing an estimated digit.

Rules for Calculating with Significant Figures For addition or subtraction, round the final answer to the first column from the left containing an estimated digit. For multiplication or division, the final answer has the same number of significant figures as the measurement having the smallest number of significant figures.