SI Units handout - ETHS

Name Period Date
Scientific Notation
Scientific Notation is a way to express very small or very large numbers. It is most often used in "scientific"
calculations where the analysis must be very precise.
Scientific Notation consists of two parts :
Examples
1) a number between 1 and 10 (1≤n

Name Period Date
Scientific Notation to Standard Form
To Change from Scientific Notation to Standard Form:
1. Move decimal point to right for positive exponent of 10.
2. Move decimal point to left for negative exponent of 10.
Examples:
Given: 1.015 x 10-8 Given: 1.015 x 10-8 answer: 0.00000001015 (8 places to left)
Given: 5.024 x 103 Given: 5.024 x 103 Negative exponent move decimal to the left.
answer: 5,024 (3 places to right) Positive exponent move decimal to the right.
To Multiply and/or Divide using Scientific Notation:
1. Multiply/divide decimal numbers with each other.
2. Use exponent rules to "combine" powers of 10.
3. If not "correct" scientific notation, change accordingly.
Example:
Given:
(5.29x10 6 )(1.17x10 -4 )
2.35x10 -2 Solution: 1)
2)
(5.29)(1.17)
=2.6337
2.35
(10 6 )(10 -4 )
10 -2 =10 6-4-(-2) =10 4
3) 2.6337x10 4 or 2.6x10 4
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Name Period Date
SI Units Tables
SI Base Units
Base Quantity Base Unit Symbol
Length meter m
Mass kilogram kg
Time second s
Temperature kelvin K
Amount of a substance mole mol
Electric Current ampere A
Luminous intensity candela cd
Prefixes Used with SI Units
Prefix Symbol Multiplier Scientific Notation Example
femto- f 0.000000000000001 10 -15 femtosecond (fs)
pico- p 0.000000000001 10 -12 picometer (pm)
nano- n 0.000000001 10 --9 nanometer (nm)
micro- µ 0.000001 10 --6 microgram (µg)
milli- m 0.001 10 -3 milliamp (mA)
centi- c 0.01 10 -2 centimeter (cm)
deci- d 0.1 10 -1 deciliter (dL)
kilo- k 1000 10 3 kilometer (km)
mega- M 1,000,000 10 6 megagram (Mg)
giga- G 1,000,000,000 10 9 gigameter (Gm)
tera- T 1,000,000,000,000 10 12 terahertz (THz)
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Name Period Date
Make the following conversions:
Scientific Notation and Unit Prefixes
1) 3.4 liters to milliliters 6) 45 meters to centimeters
2) 876 millimeters to meters 7) 11.7 grams to kilograms
3) 78,999 milligrams to grams 8) 0.0009 kiloliters to liters
4) 0.9 centigrams to grams 9) 44 centimeters to meters
5) 112 meters to millimeters 10) 277 kilograms to grams
Convert the following to scientific notation:
11) 45,700 ______________________________
12) 0.009 ______________________________
13) 23 ______________________________
14) 0.9 ______________________________
15) 24,212,000 ______________________________
16) 0.000665 ______________________________
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Name Period Date
Convert the following to scientific notation:
17) 21.9 ______________________________
18) 0.00332 ______________________________
19) 321 ______________________________
20) 0.119 ______________________________
21) 1492 ______________________________
22) 0.2713 ______________________________
23) 314159 ______________________________
24) 6022 ______________________________
25) 0.12011 ______________________________
Convert the following numbers in scientific notation to expanded form:
26) 3.825 x 103 ______________________________
27) 6.3 x 10 4 ______________________________
28) 2.3 x 10 -2 ______________________________
29) 4.44 x 10 -6 ______________________________
30) 7.121 x 10 9 ______________________________
31) 1.2 x 10 -1 ______________________________
32) 1.8 x 10 2 ______________________________
33) 8.1 x 10 -4 ______________________________
34) 6.7 x 10 5 ______________________________
35) 3.4 x 10 7 ______________________________
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Name Period Date
Using SI Units
Match the terms in Column II with the descriptions in Column I. Write the letters of the correct term in
the blank on the left.
Column I Column II
_____ 1. distance between two points a. time
_____ 2. SI unit of length b. volume
_____ 3. tool used to measure length c. mass
_____ 4. units obtained by combining other units d. density
_____ 5. amount of space occupied by an object e. meter
_____ 6. unit used to express volume f. kilogram
_____ 7. SI unit of mass g. derived
_____ 8. amount of matter in an object h. liter
_____ 9. mass per unit of volume i. second
_____ 10. temperature scale of most laboratory thermometers j. Kelvin
_____ 11. instrument used to measure mass k. length
_____ 12. interval between two events 1. balance
_____ 13. SI unit of temperature m. meterstick
_____ 14. SI unit of time n. thermometer
_____ 15. instrument used to measure temperature o. Celsius
Circle the two terms in each group that are related. Explain how the terms are related.
16. Celsius degree, mass, Kelvin
17. balance, second, mass
18. kilogram, liter, cubic centimeter
19. time, second, distance
20. decimeter, kilometer, Kelvin
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Name Period Date
Standards of Measurement
Some prefixes used in SI are listed in the table below. Use the information in the table to
answer questions 1—5.
SI Prefix Meaning
kilo- thousand (1000)
Hecto- Hundred (100)
Deka- Ten (10)
Deci- Tenth (0.10)
Centi- Hundredth (0.01)
Milli- Thousandth (0.001)
1. How many meters are in one kilometer? __________
2. What part of a liter is one milliliter? __________
3. How many grams are in two dekagrams? __________
4. If one gram of water has a volume of one milliliter, what would the mass of one liter of water be in
kilograms?__________
5. What part of a meter is a decimeter? __________
In the blanks for questions 6 through 11, write the term that correctly completes each statement.
Choose from the terms listed below.
Metric SI standard
ten prefixes tenth
6. An exact quantity that people agree to use for comparison is a ______________ .
7. The system of measurement used worldwide in science is _______________ .
8. SI is based on units of _______________ .
9. The first system of measurement that was based on units of ten was the _______________ system.
10. In SI, _______________ are used with the names of the base unit to indicate the multiple of ten that is
being used with the base unit.
11. The prefix deci- means _______________
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