The Metric System Seo Physics

What is the Metric System? Aka. S.I. System (International Standards) A tool for measurement of different values Because it is a system, it is very consistent Each quantity has a basic unit of measurement, and prefixes are used to denote multiples of that unit in factors of 10. For Example: Length Mass Volume Time

Common Metric Units Table   Quantity Base Unit Symbol Length meter m Mass gram g Volume liters m3 (cubic meter) Time second t Force Newton N Temperature Celsius C or K (Kelvins)

Mega, Kilo, Centi, Mili, Micro, and Nano Metric Prefix A prefix is added to a base unit to indicate the multiplication factor for that value. The multiplication factors are always powers of 10 There are over 20 different prefixes The most common prefixes we will use in this class are: Mega, Kilo, Centi, Mili, Micro, and Nano

Metric Prefix Table Prefix Prefix Symbol Multiplier Mega- M 106 = 1,000,000   Kilo- K 103 = 1,000 BASE UNIT none 100= 1 Centi- c 10-2 = 0.01 Milli- m 10-3 = 0.001 Micro- µ (Mu) pronounced as Mew 10-6 = 0.000001 Nano- n 10-9 = 0.000000001

Domino Method Part 1.

What is a Domino Method? The top of the "domino" is the numerator It is a method of dimensional analysis (conversion method) Helpful when converting between units. Rule of Thumb: The top of the "domino" is the numerator The bottom is the denominator The horizontal line is one long fraction bar (or division sign)

3 Steps for the Domino Method (1) In the first "domino", place the amount and units that are going to be converted   (2) In the remaining "dominoes": The conversion factors (i.e. between English and Metric units) The multipliers for metric units (prefix unit to base unit or base unit to prefix unit) (3) Calculate the "domino" by multiplying values on the top and dividing by values on the bottom. NOTE: The top and bottom of any domino MUST be equivalent .

Example Problem 𝟏.𝟑𝟓∗ 𝟏𝟎 𝟏 𝑲𝒈 𝒐𝒓 𝒋𝒖𝒔𝒕 𝟏𝟑.𝟓 𝑲𝒈 Metric to metric conversions (MUST use a domino): 13500 g to Kg The Final Ans. should have 3 Sig Figs and in Scientific Notation Format: 𝟏.𝟑𝟓∗ 𝟏𝟎 𝟏 𝑲𝒈 𝒐𝒓 𝒋𝒖𝒔𝒕 𝟏𝟑.𝟓 𝑲𝒈

Practice 1 1. Metric to metric conversions (MUST use a domino) 2. Final Answer in Sig Figs and Scientific Notations 1520 liters to milliliters The Final Ans. should have 3 Sig Figs and in Scientific Notation Format: 𝟏.𝟓𝟐∗𝟏 𝟎 𝟔 𝒎𝑳

Multiple Conversions 𝟐.𝟐𝟓∗ 𝟏𝟎 −𝟐 𝑲𝒎 1. Metric to metric conversions (MUST use a domino) 2. Final Answer in Sig Figs and Scientific Notations 2250 cm to km ** cm to m first. Then, to km** The Final Ans. should have 3 Sig Figs and in Scientific Notation Format: 𝟐.𝟐𝟓∗ 𝟏𝟎 −𝟐 𝑲𝒎

DIY 1 1. Metric to metric conversions (MUST use a domino) 2. Final Answer in Sig Figs and Scientific Notations 0.018 kg to mg The Final Ans. should have 2 Sig Figs and in Scientific Notation Format: 𝟏.𝟖∗ 𝟏𝟎 𝟒 𝒎𝒈

Handy-dandy Cheat Sheet for Metric Conversions Here are some common English -aka. USA – Metric equivalence's periodically used in this class. Please copy them down on your notes!!! (You DO NOT need to memorize them) 1 in = 2.54 cm 1 oz = 28.35 g 1 ft = 0.305 m 1 lb = 454 g 1 yd = 0.914 m 1 qt = 0.479 L 1 mi = 1.61 km 1 gal = 3.785 L

Practice 1 Metric to metric conversions (MUST use a domino): 5.5 oz to g The Final Ans. should have 2 Sig Figs and in Scientific Notation Format: 𝟏.𝟔∗ 𝟏𝟎 𝟐 𝒈