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Chapter 1 Units and Dimensions
The International System of Units
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Benchmarks: Use tools and equipment appropriate to scientific investigations. Use metric measurement devices in an investigation.
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Why do we need to be able to measure things?
and A board is 350 long A board is meters long
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To make sense, all measurements need both . . .
Units by themselves don’t make sense. Numbers by themselves don’t make sense. To make sense, all measurements need both . . . A Number a Unit!
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Estimation Estimation is using your knowledge of something similar in size or amount to determine the size of the new object. Helps to make a rough measurement of an object. Usefully when you are in a hurry and exact numbers are not required.
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Accuracy and Precision
is the quality of being exact and free from error. how close a measurement is to the true value. precision is the degree of mutual agreement among a series of individual measurements, values, or results.
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Why use the SI System? In the U.S. we use the English or Standard System, most of the rest of the world uses the Metric or SI System. The SI (International System of Units) system is the form of measurement typically used by scientists.
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Scientists use the SI System worldwide because:
Measurements are easily understood by all scientists Measurements are easier to convert than the English system
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Basic Types of Measurement
Length: measures distance between objects Volume: measures the amount of space something takes up Mass: measures the amount of matter in an object Other Types of measurement include: time temperature density PH
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Mass, Matter and the Atom
is the amount of “stuff” an object contains. Two effects mass has on matter: weight is the force of the Earth’s gravity pulling down. Gravity acts on an object’s mass. inertia is the tendency of an object to resist changes in motion (tendency to remain unchanged). Inertia comes from mass.
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Measuring Mass kilogram -
is the mass of 1 liter of water or 1,000 cubic centimeters of water.
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Scientific Notation Scientific notation works by expressing very small or very large numbers as the product of two numbers that are individually much easier to deal with. The first number is called the base. The second number is a power of ten. The base is usually written with only one digit in front of the decimal point. ex. 2,500 would be written 2.5 × 103 The small numeral 3 in 103 is called the exponent.
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Mass, Matter and the Atom
the smallest particle of an element that can exist alone or in combination with other atoms. element composed of all of the same kind of atom.
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Mass, Matter and the Atom
molecule - is a neutral group of atoms that are chemically bonded together; it is the smallest particle of a compound that can exist by itself and retain the properties of the compound. mixture - is a substance that contains a combination of different compounds and/or elements and be separated by physical means.
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Mass, Matter and the Atom
The three most common forms of matter are called solid, liquid, and gas. At temperatures greater than 11,000 °C the atoms in a gas start to break apart and form plasma.
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Mass, Matter and the Atom
Solids - Atoms in a solid stay together because the energy per atom is too low to break the bonds between atoms. Liquids- Liquids flow because atoms have enough energy to move around by temporarily breaking and reforming bonds with neighboring atoms. Gases- Gas atoms have enough energy to completely break bonds with each other. Plasma- In plasma, matter becomes ionized as electrons are broken loose from atoms.
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Measurement System Comparisons
ENGLISH SI SYSTEM LENGTH Yard / Inch Meter / Centimeter MASS Ounce / Pound Gram / Kilogram VOLUME Quart Liter TEMPERATURE Fahrenheit Celsius / Kelvin TIME Second All Measurement systems have standards. Standards are exact quantities that everyone agrees to use as a basis of comparison.
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In the English system you have to remember so many numbers . . .
12 inches in a foot 3 feet in a yard 5,280 feet in a mile 16 ounces in a pound 4 quarts to a gallon In the SI System you only have to remember one number. The SI System is based on the number 10.
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The SI System uses the following prefixes:
Kilo 1000 Hecto 100 Deca 10 UNIT 1 Deci 1/10 Centi 1/100 Milli 1/1000 This system works with any SI measurement. The UNIT becomes whichever type of measurement you are making. (mass, volume, or length) It is the same system regardless if you are measuring length, mass, or volume.
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It works for all types of measurement. If your measuring . . .
Mass then it is the gram (centigram, milligram, etc.) Volume then it is the liter (deciliter, hectoliter, etc.) Length then it is the meter (kilometer, decameter, etc.) The first part of the term indicates the amount, the second part indicates the type of measurement.
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How does converting units work?
Unlike the English system converting in the SI System is very easy. For Example in the English system if you wanted to know how many inches in 2 miles what would you do? Take the number of miles (2). Multiply it by the number of feet in a mile (5,280). Multiply that by the number of inches in a foot (12). ANSWER: 126,720 inches in 2 miles
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The SI system is much easier.
For example in the metric system if you wanted to know how many centimeters were in 3 meters, what would you do? Find the unit you have (meters). Find the unit you are changing to (centimeters). Count the number of units in-between (2). Move the decimal point that many spaces, in the same direction you counted (right). 3 meters = 300 centimeters Kilo Hecto Deca UNIT Deci Centi Milli
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Kilo Hecto Deca UNIT Deci Centi Milli
More Conversions . . . 2,321.0 millimeters to meters = meters 521.0 grams to hectograms = hectograms 8.5 kiloliters to centiliters = 8,500,000 centiliters NOTE: The digits aren’t changing, the position of the decimal is. In the English system the whole number changes. Kilo Hecto Deca UNIT Deci Centi Milli
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Basic Types of Measurement
Length: measures distance between objects Volume: measures the amount of space something takes up Mass: measures the amount of matter in an object In SI the basic units are: Length is the meter Mass is the gram Volume is the liter (liquid) Temperature is Celsius
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Metric Measurement: Length
Length is the distance between two points. Does not matter if it is width, height, depth, etc. All are length measurements. The basic unit of length in the SI System is the meter. The meter is about the length of the English yard (3 feet). Area is a variation of a length measurement. Area is length x width. Expressed in units2 (m2, cm2, mm2 etc.)
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Metric Measurement: Mass
Mass is a measurement of the amount of matter in an object. Basic unit of mass is the gram. There are 454 grams in one pound. Weight and mass are related, but NOT the same. Weight is the pull of gravity on an object The greater the mass, the larger the pull of gravity.
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(L)ength x (W)idth x (H)eight
Metric Measurement: Volume Volume is a measurement of the amount of space something takes up. The basic unit used for volume is the liter. This unit is used for the volumes of liquids. Volumes of solids are figured using this formula: (L)ength x (W)idth x (H)eight cm x cm x cm = cm3 Objects without a definite length, width or height (a rock for example), can use water displacement to determine volume NOTE: 1 ml = 1 cm3
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Metric Measurement: Temperature
Temperature is a measure of the kinetic energy of the atoms in an object. Temperature is measured with a thermometer and measured in Celsius or Kelvin. Celsius ranges from 0 (freezing) to 100 (boiling). The Kelvin scale begins at absolute zero, or 0 K. At 0 Kelvin no more heat can be removed from an object. To convert to Kelvin you add 273 degrees to the Celsius reading. Freezing in Kelvin is 273 K, boiling is 373 K.
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Which is heavier . . . A kilogram of feathers or a kilogram of lead?
Which one takes up more space (volume)? They are both one kilogram so they weight the same, but it takes more feathers than lead to equal one kilogram! We say the lead is more dense than the feathers.
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The formula for density is:
Density is how much matter is in something (mass), compared to the amount of space it takes up (volume). The formula for density is: Mass (grams) divided by Volume (cm3) So the unit for density is g / cm3 Every substance has a density, and that density always remains the same. Density can be used to figure out what an unknown substance is. The density of water is 1 g / cm3
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Measurement Review Measurements need a number and a unit!
Basic units of Measurement (meter, liter, gram) How to convert metric units Be able to make basic measurements of volume, length, and mass Definition of density and how to figure it out. Vocabulary words
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