SECTION 5.1 & 5.3 APeriod 1

Group # 3

SCIENTIFIC NOTATION DEFINITION

Scientific Notation expresses a number as a product of a number between 1 through 10 and the appropriate power of 10.

REPRESENTING LARGE AND SMALL NUMBERS 62,000 = 6.2 x 104 , place a decimal at the

right end and move 4 to the left. .0021 = 2.1 x 10-3, move the decimal 3 times

to the right, and add a -3 exponent on the 10.

EXAMPLE: SCIENTIFIC NOTATION

Solve each of the following. Which of the two measurements is greater?

A) 2.67 x 104 B) 287.2 x 10-2

ANSWER: SCIENTIFIC NOTATION

A) 26700 B) 2.872

Answer: A is greater.

REMEMBER! Moving the decimal

point to the left requires a positive exponent.

Moving the decimal point requires a negative exponent.

Any # can represent the product of numbers between 1-10.

The power of 10 depends on number of decimal places moved.

UNITS DEFINITION

Unit: The part of a measurement telling us the scale being used. Think about these questions.

Why are units important? Why are units needed? How are units represented? (results from a

measurement)

METRIC AND ENGLISH SYSTEM

Metric system is used by most of the industrialized world.

The English system is used by the United States.

INTERNATIONAL SYSTEM (SI)

International system (SI) is based on the metric system.

Most common units are gram, meter, and liters.

EXAMPLE: UNITS

Are units quantitative or qualitative part of a measurement? Explain.

ANSWER: UNITS

Units are quantitative part of a measurement, because they deal with numbers.

COMMON PREFIXES

Common Prefixes are mili, centi, deci, kilo, etc.

MEASUREMENTS OF LENGTH, MASS, AND VOLUME Length = the longest extent from end to end. Mass = Quantity of matter present in an

object. Volume = Amount of a three-dimensional

space occupied by a substance. (Whenever dealing with volume, always cube the units).

Example: m3

EXAMPLES OF COMMONLY USED UNITS Commonly used units are milliliters, liters,

grams, inches, and centimeters.

QUESTIONS WE ASK OURSELVES TO SOLVE A PROBLEM Questions we can

ask ourselves when solving a problem.

Where do we want to go?

What do we know? How do we get

there? Does it make

sense?

EXAMPLE: TOOLS FOR PROBLEM SOLVING How does asking yourself questions such as

“What do we know?” and “Where do we want to go?” help you solve problems?

ANSWER: TOOLS FOR PROBLEM SOLVING When you ask these questions to yourself,

you get a better overview and understanding of the problem. (Answers may vary).

CONVERSION FACTOR DEFINITION

Conversion Factor is the ratio of the two parts of the statement that relates two units.

EQUIVALENCE STATEMENT

Equivalence Statement: equivalent measures from the English and Metric Systems.

Example: 2.54 cm = 1 inch

EXAMPLE: CHOOSING CONVERSION FACTORS A caretaker of the aquarium needs to find the

dimensions of a tank. The height is 10 feet, the width is 4 yards, and the length is 96 inches. Wherefore, her dimensions were 10 x 4 x 96. Explain the error.

ANSWER: CHOOSING CONVERSION FACTORS Answer: 120 x 144 x 96 You have to convert all the units to satisfy

the problem. Convert all units to inches. 10 feet = 120 inches, 4 yards = 12 feet =

144 inches, and 96 inches.

QUIZ TIME! A) Is the following conversion to

scientific notation correct? If not correct the scientific notation. --0.00217 -> 21.7 x 104

B) Why are prefixes such as mega, kilo, deci, centi, and mili needed?

C) Make the indicated conversions. -A) 17.0 L to milliliters -B) 8.25 to inches -C) 4.21 inches to centimeters

D) What are some questions you go through your mind as you are confronted with a problem?

E) Which conversion factor should be used to solve the problem? -7.62 cm x 2.54cm/1inch or 1in/2.54 = ? Inches.

ANSWERS TO QUIZ! A) 0.00217 -> 2.17 x 10-3

B) Prefixes are needed, because then you know the quantity of a unit. It also makes an easier time writing all the zeroes.

C) a) 1700 milliliters b) 324.8 inches c) 10.7 centimeters

D) “Why is this problem so hard?” Answers may vary. E) You should of chose 1 inch/ 2.54 centimeters.

REFERENCE

http://www1.istockphoto.com/file_thumbview_approve/1091572/2/istockphoto_1091572-cartoon-lightbulb.jpghttp://www.inthebeloved.org/ttm/img/questionmark.jpghttp://a1259.g.akamai.net/f/1259/5586/5d/images.art.com/images/-/Numbers-with-Paddington--C10016454.jpeghttp://www.digital-postcard.ch/files/kinderecke/teletubbies_01.jpghttp://www.newmonument.surrey.sch.uk/EALClassroomwordsChinese_files/ruler.jpghttp://www.lessontutor.com/chart2b.jpghttp://www.hotelsetcetera.com/image/world_globe.jpghttp://i277.photobucket.com/albums/kk64/gizzle_18/gummy.jpghttp://www.anabiosispress.org/images/equalsign.gifhttp://www.cses.tcc.edu.tw/~s05315/water_01.jpghttp://www.sugarshock.net/zeo/r-s/artwork/mudkip.jpghttp://www.rowe.mtrsd.k12.ma.us/site/class_page/Beebe/Science_Page/scilinks/main_math/tools.jpghttp://tatsandtags.com/images/2x2_11.jpghttp://www.savingadvice.com/images/blog/tools.jpghttp://www.ecorazzi.com/wp-content/uploads/2008/03/billnye.jpghttp://www.zooland.ro/_files/Image/articole/contextual2/panda-bear-g011.jpg