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Week 1 Lecture 1: Base Units and Significant Figures

by: Justin Bartell

Week 1 Lecture 1: Base Units and Significant Figures ECH 3023

Marketplace > Florida State University > Engineering > ECH 3023 > Week 1 Lecture 1 Base Units and Significant Figures
Justin Bartell
GPA 3.977

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About this Document

This reviews the Seven Base Units, the SI units, and significant figure rules.
Mass & Energy Balances I
Dr. Yeboah
Class Notes
Engineering, Math
25 ?




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This 2 page Class Notes was uploaded by Justin Bartell on Monday September 5, 2016. The Class Notes belongs to ECH 3023 at Florida State University taught by Dr. Yeboah in Fall 2016. Since its upload, it has received 13 views. For similar materials see Mass & Energy Balances I in Engineering at Florida State University.


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Date Created: 09/05/16
ECH 3023– Y. Yeboah Week 1 – 01 (Tuesday Lecture 8/30/2016) Base Units and Sig Figs • Seven Base Units: length, mass, moles, time, temperature, current, light intensity. • SI units: meters, kilogram, gram moles, seconds, Kelvin, ampere, candela • Multiple units: ex. Centimeter vs. millimeter vs. kilometer, etc. ­Common prefixes: Terra: 10^12 Giga: 10^9 Mega: 10^6 Kilo: 10^3 Centi: 10^­2 Milli: 10^­3 Micro: 10^­6 Nano: 10^­9 • Derived units: any unit built from the seven Base Units ­Volume (length^3), Force (mass*length / time^2), etc. • Significant figures ­ Without decimal: sig figs start at rightmost nonzero digit counting left. o Ex. 4980 has 3 sig figs (8, 9, and 4) o 3100000 has 2 sig figs (1 and 3) o 12345 has 5 sig figs (5, 4, 3, 2, and 1) ­ With decimal: sig figs start at leftmost nonzero digit counting right. o Ex. 1.2345 has 5 sig figs (1, 2, 3, 4, and 5) o 4980. has 4 sig figs (4, 9, 8, and 0) o 0.0000012 has 2 sig figs (1 and 2) o 10.02 has 4 sig figs (1, 0, 0, and 2) ­ Multiplying/Dividing: count number of sig figs for each number, complete  multiplication/division, round to number of lowest sig fig. o Ex. 2 * 1.4 = 3  First number has 1 sig fig, second number has 2 sig figs. Rough  multiplication gives 2.8. However, we now round to 1 sig fig to get 3. o 1.04 * 1 = 1  First number has 3 sig figs, second number has 1. Rough  multiplication gives 1.04. However we now round to 1 sig fig to get 1. o 27 * 2.2 = 59  First number has 2 sig figs and so does the second number. Rough  multiplication gives us 59.4. However, we round to 2 sig figs to get 59. ­ Weird Rounding Rules (with number 5!) o When rounding with a 5, you can only round to make an even digit.   Round to 2 sig figs: 15.5 = 16  Round to 2 sig figs: 14.5 = 14 ­ Adding/subtracting o Line up the decimal point of all numbers, add/subtract, round to the rightmost  common significant digit.  Ex. 101.01 + 91.2 = 192.2  When lining the decimal point, the rightmost common  significant digit is in the tenths place (the 1 in 91.2). Adding  we get 192.21, so we round to the tenths place to get 192.2  9100 + 21 = 9100  After lining up, the rightmost common significant digit is the  thousands place. Adding we get 9121, so we round to  thousands place to get 9100.  110. + 51 = 161   After lining up, the rightmost common significant digit is the  units digit. Adding we get 161 and no rounding is necessary.


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