# Sample Metric Conversion Problems

Monday, October 17th 2022. | Sample Templates

Sample Metric Conversion Problems – 1 Chemistry: Exploring Change Chapter 1 CHEMISTRY – DACS 1232 Fakulti Kejuruteraan Mekanikal, UTeM Lecturer: IMRAN SYAKIR BIN MOHAMAD MOHD HAIZAL BIN.

Base units Metric – standard, used internationally (easy to communicate through language barrier – simplifies conversion – based on number.

## Sample Metric Conversion Problems

1. 2 Volume – a derived unit of volume in the SI system – a cubic meter (m 3) 1 cm 3 u003d (1 x m) 3 u003d 1 x m 3 1 dm 3 u003d (1 x m) 3 u003d 1 x m 3 1 L =

### Converting Measurements, Distance, Time, Speed, & Rates

Introduction: Matter and Measurement Chapter 1. Measurement Error The term “significant figures” refers to numbers that have been measured. Rounding.

1 Significant Digits Every non-zero digit is significant. kg 4 significant digits Zeros between non-zero digits are significant with a value of 606 m 3 .

Unit conversions SI units: The International System of Units (abbreviated as SI from the French Système international d’unités]) is the modern form of the unit.

Measurements and calculations Chapter 2. Units of measurement Units of measurement include NUMBER and UNIT. Size representation: the presence of a size, quantity, or quantity.

### Metric Conversions Practice Worksheet

Mathematics in chemistry 1B.  What is it?  Anything with ______ and ________________  What is loudness?  ____________________________________________________________  What.

Chemistry: Exploring Change Chapter 1 Copyright © The McGraw-Hill Companies, Inc. Permission is required to play or display.

The Metric System The metric system, based on the decimal system, is the accepted system of scientific measurement.

The science of change 1.  Names of rows (periods) and columns (groups) of the periodic table  Names of 4 main groups  Names of 3 general types.

#### Conversion Of Units In Physics Worksheets

Accuracy vs Precision Accuracy means how close you are to the actual value. Accuracy means how close your measurements are to each other.

Chapter 2 Standards of measurement Objectives:  Understand mass and weight (2.1)  Define units of measurement (2.6)  Explain reasons.

Part 5 Notes — Measurements and calculations Qualitative and quantitative Qualitative measurements provide results in a descriptive, non-numerical form. (Result.

Part 5 Notes — Scientific measurements Qualitative and. quantitative Qualitative measurements provide results in a descriptive, non-numerical form. (Result.

## How To Convert Cm3 To M3

Chapter 3 Scientific Measurements Measurements In chemistry, numbers are either very small or very large. 1 gram of hydrogen = 602,000,000,000,000,000,000,000.

Lecture 2 Significant figures and size analysis Chapter Dr. Harris 08/23/12 HW Assignments: Chapter 1: 31, 33, 37.

Chemistry 1 CHEM 110 Chapter Matter is everything that occupies space and has mass. 2. Substance is a form of matter that has a certain composition.

Mathematical Concepts How can a chemist achieve accurate measurements? Important numbers/numbers. Important numbers/numbers. Sig figs = reliable figures.

#### Convert Celsius To Kelvin Formula And Example Problem

1 CHEMISTRY 101 Dr.

I II III Measurement units MEASUREMENT. In a chemistry paper on 09/23/99, the \$125,000,000 Martian climate orbit entered the Martian atmosphere 100 km below.

1 Purposes of scientific measurement: Section 2.1 List the common SI units and common prefixes used in the SI system. Distinguish between mass, volume,

Chapter 2: Measurements and Calculations Chapter 2.1 Scientific Method Steps of the Scientific Method (1) Make observations – use your 5 senses to collect data.

#### Quantitative Ux Research In Practice

Do it now: Working only with the people at the table, measure the length, width, and height of the room. DO NOT discuss your results with other groups. Record.

The most round object in the world – anything that occupies space and has mass – a measure of the amount of matter SI unit of mass – kilogram (kg) 1 kg = 1000 g = 1 x 103 g La Grande K 1 kg of Pt/Ir alloy The most round object in the world https: //www.youtube.com/watch?v=ZMByI4s-D-Y mass – gravitational force acting on an object mass = mass  g (F = ma) On the Earth g = 1.0 On the Moon g ~ 0.1 1 kg bar weighs 1 kg on Earth and 0.1 kg on the Moon

The SI base units used in this class should be memorized. All other units are derived from these units and are called derived units. Velocity: m/s Force: 1 newton = 1 kg•m/s2 Volume: m3

Prefixes can be used to simplify the base units “mu” for very large or small quantities. Used most often in this class, be sure to memorize it.

### Let’s Convert: Easy Metric Conversions Game

Prefix examples Driving a car 321,000 meters LR = 321 kilometers Radio station 90.9 MHz = 90,900,000 Hz Mosquito weight 2.5 milligrams (mg) = 0.0025 grams (g) Dust mite length = 0.02002 micrometers ( )

1 Mm = 106 L 10-6 ML = 1 L 1 km = 103 L 10-3 cl = 1 L liter (base) Conversion factors can be written/used in two ways: 1 Mm = 106 L 1 km = 103 L liter (base ) 1 cl = 10-2 l 1 ml = 10-3 l 1 ml = 10-6 l 1 nl = 10-9 l 10-6 ml = 1 l 10-3 cl = 1 l Liter (base) 102 cl = 1 L 103 ml = 1 L 106 ml = 1 L 109 nl = 1 L Or I prefer forms that use (+) exponents

Volume. The SI derived unit of volume is the cubic meter (m3) (commonly cm3 is used). 1 cm3 = 1 ml.

Density – SI derived unit of density – kg/m3 1 g/cm3 = 1 g/ml = 1000 kg/m3 *more commonly used density = volume mass d = m V 2 L Os = 100 pounds

#### System Of Measurements

Example 1.1 Gold is a precious metal, chemically inactive. It is mainly used in jewelry, dentistry and electronic equipment. The volume of a gold ingot weighing 301 g is 15.6 cm3. Calculate the density of gold. gold bars

Example 1.2 Mercury, the only metal that is liquid at room temperature, has a density of 13.6 g/ml. Calculate the mass of 5.50 ml of liquid. d = mV

Failed to convert English to Metric. Chemistry in Action On September 23, 1999, the \$125 million Martian Climate Orbiter entered the Martian atmosphere 100 km (62 mi) lower than planned and was destroyed by heat. English to metric conversion failed 1 lb = 1 N 1 lb = 4.45 N “This is a cautionary tale to add to the introduction to the metric system in elementary, high school, and college science courses until the end of time.”

Number of atoms in 12 g of carbon: 602, 200, 000, 000, 000, 000, 000, 000 6.022 x 1023 Mass of one carbon atom in grams: 0.0000000000000001 factor simplification of a positive or negative integer N – base number from 1 to 10 N x 10n

## Making Unit Conversions In The U.s. System Of Measurement

Scientific notation. . Base x 10 exponent Base ≥ 1 and < 10 = 3.2 x 105 Decimal shifted to the left, so (+) = 7.4 x 10-5 Decimal shifted to the right, so (–) . 320,000.0.000074

Scientific notation Write it in long notation 2.0 x 103 3.58 x 10-4 4.651 x 107 9.87 x 10-2 Write it in exponential notation 0.00578 579 96.000 0.0140

Math in scientific notation Addition or subtraction: must have the same exponent. Write down each quantity with the same exponent n. Merge N1 and N2. The n exponent remains the same: 4.31 x 104 + 3.9 x 103 = 4.31 x 104 + 0.39 x 100 x 4. 104 Hint: change the lower number to match the higher exponent 1.36 x 10- 1 – 4 x 10-3 = 1.36 x 10-1 – 0.04 x 10-1 = more practice: 1.45 x 10601 + 2.4 x 10600 = 1.32 x 10-10

Scientific Math Multiplication: Adding exponents (4.0 x 10-5) x (7.0 x 103) = (4.0 x 7.0) x (10-5+3) = 28 x 10-2 = 2.8 x 10-1 multiply N1 and N2 Add exponents n1 and n2 Exercise: (3 x 10250) (7.2 x 10200 ) Division: subtract exponents 8.5 x 104 ÷ 5.0 x 109 = ( 8.5 ÷ 5.0) x 104-9 = N10-2 divide Subtract exponents n1 and n2 Exercise: 9.5 x 1045) ÷ (3.7 x 1050)

#### Cooking Measurement Conversion: This Chart Shows You How

B) Rewrite the above numbers using the nearest SI prefix Zvonar a) Write in exponential notation 8.705.000 m 0.0000045 l 0.00237 s 9.300 g b) Rewrite the above numbers using the nearest SI prefix c) Perform the following mathematical calculations scientific. Dimensions (9.01 x 103 g) + (3.8 x 102 g) (3.98 x 10-2 m) – (8.2 x 10-3 m) (2.61 x 107 m) x (9.87 x 10-2 m) (8.4 x 109) g) ÷ (2.0 x 104 ml)

For example the mass of a hydrogen atom: accuracy is the extent to which we know our measurements. (Arithmetic accuracy) 18.0 grams can be measured on an average desktop food scale (balance sheet). (~\$20) A high precision milligram balance can weigh the same sample with much greater accuracy (18.0235 grams) (~\$1500). Each measurement is limited by the accuracy of the device. (Never accurate) e.g. mass of a hydrogen atom: 0.000000000000000000000000017 grams

Significant Digits: Used to avoid rounding uncertainty.

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