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Ch 1.9 – Scientific Notation & Ch 1.9 – Scientific Notation & Quiz #2Quiz #2

BellworkBellwork

• Please take out your assignment Please take out your assignment from yesterday and leave it on from yesterday and leave it on your desk for me to check.your desk for me to check.

• Convert the measurements:Convert the measurements:

1.1. 650 cm = _______m650 cm = _______m

2.2. 52L = _______kL52L = _______kL

3.3. 2,500 mg = _______g2,500 mg = _______g

Assignment ReviewAssignment Review

• Workbook p. 37Workbook p. 37

ObjectiveObjective

1.1. Students will demonstrate Students will demonstrate understanding of converting understanding of converting metric measurementmetric measurement

2.2. Students will write numbers in Students will write numbers in scientific and standard formscientific and standard form

QuizQuiz

• Please take out a sheet of paper, pencil, Please take out a sheet of paper, pencil, and your calculator and text book…then and your calculator and text book…then clear your deskclear your desk

• In the upper right hand corner of your In the upper right hand corner of your paper write your name, today's paper write your name, today's date/period & Quiz #2 (No heading & date/period & Quiz #2 (No heading & No pencil will result in a 1 letter grade No pencil will result in a 1 letter grade deductiondeduction EACHEACH for this quiz) for this quiz)

• Today you will have a quiz on Today you will have a quiz on converting metric measurement.converting metric measurement.

QuizQuiz

• 5 questions = 20 points each5 questions = 20 points each• You may use the FCAT conversion chart You may use the FCAT conversion chart

at the back of your text bookat the back of your text book• Number each problemNumber each problem• You do not have to write the questionYou do not have to write the question• Circle your answerCircle your answer• Show all work (No work = No credit)Show all work (No work = No credit)

QuizQuiz

1.1. Each morning Carlos runs 1.5 kilometers. How Each morning Carlos runs 1.5 kilometers. How many meters did he run?many meters did he run?

2.2. A soda can contains 355 milliliters of liquid. A soda can contains 355 milliliters of liquid. How many liters of liquid does it contain?How many liters of liquid does it contain?

3.3. For 11 – 14 year olds, the recommended For 11 – 14 year olds, the recommended Dietary Allowance (RDA) for protein is about Dietary Allowance (RDA) for protein is about 60 grams. How many milligrams do they need 60 grams. How many milligrams do they need daily?daily?

4.4. A helicopter was flying 800 meters above the A helicopter was flying 800 meters above the ground. How many kilometers above the ground. How many kilometers above the ground was it flying?ground was it flying?

5.5. A water sprinkler sprays about 150 liters of A water sprinkler sprays about 150 liters of water each hour. How many kiloliters of water water each hour. How many kiloliters of water does it spray?does it spray?

Quiz AnswersQuiz Answers

1.1. 1,500 m1,500 m

2.2. 0.355 L0.355 L

3.3. 60,000 mg60,000 mg

4.4. 0.8 km0.8 km

5.5. 0.15 kL0.15 kL

After the Quiz…After the Quiz…

• Please pass your answer sheets Please pass your answer sheets forward…forward…

• Then take out your notebook and get Then take out your notebook and get ready to work…ready to work…

• Today we will look at numbers in Today we will look at numbers in scientific notation and standard form…scientific notation and standard form…

• Raise your hand if you can explain why Raise your hand if you can explain why we need to know how to do this….we need to know how to do this….

ObjectiveObjective

• Students will express numbers in Students will express numbers in scientific notationscientific notation

CONVERTING FROM CONVERTING FROM SCIENTIFIC NOTATION SCIENTIFIC NOTATION TO STANDARD FORMTO STANDARD FORM

Positive ExponentsPositive Exponents

• Positive ExponentPositive Exponent – If the scientific – If the scientific notation has a positive exponent move notation has a positive exponent move the decimal the # of spaces of the the decimal the # of spaces of the exponent to the exponent to the RIGHTRIGHT

• Example: 5.34 x 10Example: 5.34 x 1044 Starting at the decimal point move it 4 spaces to the RIGHT

5.3400 = 53,400

Negative ExponentsNegative Exponents

• Negative ExponentNegative Exponent – If the scientific – If the scientific notation has a negative exponent, move notation has a negative exponent, move the decimal the # of spaces of the the decimal the # of spaces of the exponent to the exponent to the LEFTLEFT

• Example: 3.27 x 10Example: 3.27 x 10-3-3 Starting at the decimal point move it 4 spaces to the LEFT

003.27 = .00327

Your TurnYour Turn

• In the notes section of your In the notes section of your notebook write and complete the notebook write and complete the following problems.following problems.

1.1. 6.7 x 106.7 x 1033

2.2. 8.325 x 108.325 x 1088

3.3. 7.218 x 10 7.218 x 10 -6-6

4.4. 2.700 x 10 2.700 x 10 -4-4

CONVERTING FROM CONVERTING FROM STANDARD FORM TO STANDARD FORM TO SCIENTIFIC NOTATIONSCIENTIFIC NOTATION

Scientific NotationScientific Notation

• A number is expressed in scientific A number is expressed in scientific notation when it is written as the notation when it is written as the product of a factor and a power of product of a factor and a power of 10. The factor must be greater than 10. The factor must be greater than or equal to 1 and less then 10or equal to 1 and less then 10

• Lets look at an examples with Lets look at an examples with positive and negative exponents…positive and negative exponents…

Positive ExponentPositive Exponent

3,725,0003,725,000

1. Place a decimal point between 3 & 71. Place a decimal point between 3 & 7

2.2. Count the number digits from the decimal Count the number digits from the decimal to the end of the number going rightto the end of the number going right

3. Drop all zeros in the number and 3. Drop all zeros in the number and write as a power of 10write as a power of 10

3,725,000 = 3.725 x 103,725,000 = 3.725 x 1066

Negative ExponentNegative Exponent

0.0003160.000316

2. Place the decimal between the 3 & 12. Place the decimal between the 3 & 1

3. Count the number of digits from the 3. Count the number of digits from the original decimal to the new decimal placeoriginal decimal to the new decimal place

4. Restate the number as a power of 104. Restate the number as a power of 10

0.000316 = 3.16 x 100.000316 = 3.16 x 10-4-4

1. If the standard form number is less than 1. If the standard form number is less than 1 you will have a negative exponent.1 you will have a negative exponent.

Your TurnYour Turn

• In the notes section of your In the notes section of your notebook write and covert the notebook write and covert the following to scientific notationfollowing to scientific notation

1.1. 43,00043,000

2.2. 52,300,00052,300,000

3.3. 0.000720.00072

4.4. 0.00009010.0000901

SummarySummary

• In the notes section of your In the notes section of your notebook summarize key concepts notebook summarize key concepts covered in today’s lessoncovered in today’s lesson

• Today we discussed:Today we discussed:• Converting from scientific notation to Converting from scientific notation to

standard formstandard form• Converting from standard form to Converting from standard form to

scientific notationscientific notation

AssignmentAssignment

• Text p. 45 # 10 – 36Text p. 45 # 10 – 36

ReminderReminder• I do not accept answers only!I do not accept answers only!• You must write the problem & answerYou must write the problem & answer• Check the answers to the odd Check the answers to the odd

problems with the answers in the problems with the answers in the back of the text book.back of the text book.