Monday, September 21, 2015 Tuesday, September 22, 2015 Unit QuestionHow do we “do” science? Guiding Question / Learning Target I will be able to do metric.

Monday, September 21, 2015Tuesday, September 22, 2015

Unit Question How do we “do” science?

Guiding Question / Learning Target

I will be able to do metric conversions and scientific notation.

Warm-up Why is the metric system easier than the standard/English system?

Agenda 1. Metric Notes 2. Conversions Worksheets

Homework 1. Quiz this Friday! No notes.2. TEST Next week! Be able to use equipment. Open note.

Counts by 10!

Quiz Retakes?• Still closed note—until AT starts you’ll be taking them in the

hall• Today or next class are your options this week: you’ve got 1

chance and has to be done within a week.• Finish your worksheets today, want to retake? See me!• It is a different quiz…you should still study!

• Your score:• 7/7 = 100% A• 6/7 = 85% B• 5/7 = 71% C-• 4/7 = 57% Probably do retakes• 3/7 = 42% Definitely do retakes

Metric System“I’m ten times better than the Standard system of measurement!”

Let’s do some review work before we begin.

Do the following calculations

230 x 10 = 23004.5 x 10 = 454500 x 100 = 45000097.45 x 100 = 97455780 10 = 578348 100 = 3.48123.5 10 = 12.3521.6 100 = .2168.465 100 = .08465

Nice Job!

If you can multiply & divide by 10 (or any power of 10), then the metric system will be easy for you.

Converting Metric UnitsHow many centimeters is in 5 meters?

Metric PrefixesPrefix Abbreviation Definition

giga G 109 or 1,000,000,000 (Billions)

mega M 106 or 1,000,000 (Millions)

kilo k 103 or 1,000 (Thousands)

hecto h 102 or 100 (Hundreds)

deka (or, deca, depending on your textbook)

da 101 or 10 (Tens)

deci d 1/10 or 0.1 (Tenth)

centi c 1/100 or 0.01 (Hundredth)

milli m 1/1000 or 0.001 (Thousandth)

micro µ (Greek letter mu)

10-6 or 0.000001 (Millionth)

These are on the back of your notes. Star, highlight, or otherwise mark the yellow ones. These are the most

common prefixes, and the ones we’ll use in class.

What is the order of the metric system?

• King Henry’s Daughter Bakes Delicious Chocolate Muffins• King: Kilo• Henry’s: Hecto• Daughter: Deca• Bakes: Base (m, L, g)• Delicious: Deci• Chocolate: Centi• Muffins: Milli

Do you want to write this

down?

Writing Metric abbreviations• Prefix plus base unit

• Kiloliter = kL• Millimeter = mm• Meter = m

??? Just one letter?

That means it’s your base unit!

Converting Units:THE Golden Rule

• When going from a big unit to a small unit:

• MULTIPLY!!• Or move decimal

place to the right; add zeros as needed as place holders.

• When going from a small unit to a big unit:

• DIVIDE!!• Or move decimal

place to the left; add zeros as needed as place holders.

The Ladder Method• Each step multiply or divide by 10 • Or each step move the decimal one place to the left or to the

right

Convert 2.5L to mLWe start here, with L

We end here, with mL

How many steps does it take to get from L, our basic units, to mL?

Convert 2.5L to mL

3 steps

How many steps did we take?

Convert 2.5L to mL

3 places

How many decimal places do we move?

Convert 2.5L to mL

To the Right

Which direction did we move?

Convert 2.5L to mL

To the Right

Which direction does the decimal go?

What’s that look like?

•2.5 0 0

Convert 2.5L to mLWhat do our numbers look like?

2.5L a25dLa250cLa2500mL

2.5L=2500mL

So now, to go left…

Convert 5000 m to Km

So now, to go left…

Count your steps3

And move your decimal

5000.0m500.0Dm50.0hm5.0km

5000.0m = 5.0km

Now you try:• 7 km = __________ m• 6 g = __________ cg• 9.15 kL = __________ L• 6.25 kg = __________ mg• 14.2 m = __________ cm

7,000

600

9150

6250000

1420

SCIENTIFIC NOTATION

How wide is our universe?

210,000,000,000,000,000,000,000 miles(22 zeros)

This number is written in decimal notation. When numbers get this large,

it is easier to write them in scientific notation.

Check out this website!

Scientific NotationScientific notation is a shorter way to write very long numbers. Scientific Notation is based on powers of the base number 10.

• The number 123,000,000,000 in scientific notation is written as: 1.23 x 1011

• The first number 1.23 is called the coefficient. • It must be greater than or equal to 1 and less than 10.

• The second number is called the base. It must always be 10. The base number 10 is always written in exponent form.

• In the number 1.23 x 1011 the number 11 is referred to as the exponent or power of ten.

Scientific Notation

• This number is in scientific notation: 1.23 x 1011

• This number is NOT in scientific notation: 12.3 x 1011

• What’s the difference?

• The DECIMAL place! • To be in scientific notation there can only be ONE number to

the LEFT of the decimal. That number must be 1-9.

Getting into scientific notation• Put the decimal after the first digit and drop the end zeroes.

• In the number 123,000,000,000 The coefficient will be 1.23

• To find the exponent count the number of places from the decimal to the end of the original number.

• In 123,000,000,000 there are 11 places. Therefore we write 123,000,000,000 as: 1.23 x 1011

• For small numbers we use a similar approach. Numbers smaller than 1 will have a negative exponent.

• A millionth of a second is: 0.000001 sec. OR 1.0 x10-6

Getting out of Scientific Notation• What’s the x 10exponent mean?

• That exponent is how many places the decimal moves over.

• 1.23 x 1011 the decimal moves over 11 places to the RIGHT, making a BIG number: 1,230,000,000

• What about x 10-exponent ?• With a NEGATIVE exponent, it’s still how many places

you move, but your direction changes.• 1.23 x 10-11 the decimal moves over 11 places to the

LEFT, making a SMALL number: 0.0000000000123

Scientific Notation• What If I need to turn a number into scientific notation?

• Start moving the decimal!• 1,230,000

• Where is the decimal now?• Where should it be?• 1 230000

• How many places did it move?• 1230000• That number of places becomes my superscript.

• What’s my scientific notation?• 1.23 x 106

6

Write the width of the universe in scientific notation.

210,000,000,000,000,000,000,000 milesWhere is the decimal point now?

After the last zero.Where would you put the decimal to

make this number be between 1 and 9?Between the 2 and the 1

2.10,000,000,000,000,000,000,000.

How many decimal places did you move the decimal?

23When the original number is more than

1, the exponent is positive.The answer in scientific notation is

2.1 x 1023

1) Express 0.0000000902 in scientific notation.

Where would the decimal go to make the number be between 1 and 9?

9.02The decimal was moved how many

places?8

When the original number is less than 1, the exponent is negative.

9.02 x 10-8

2) Express 1.8 x 10-4 in decimal notation. 0.00018

3) Express 4.58 x 106 in decimal notation.

4,580,000

Example Problems

1) 5,876,300 =

2) 0.0000152 =

3) 3.268 x 104 =

4) 3.76 x 10-3 =

5.8763 x 106

1.52 x 10-5

32680

.00376

Metric Conversion & Scientific Notation Practice• Both worksheets should be

completed in class• I want to check them off when you

finish, but:• You can keep them until Friday to

study for the quiz and use as reference.

• Don’t lose these!

Keys• Scientific Notation Key• Metric key

Exit Question• How many decimeters are in 1.5 meters?

• 15 dm• Convert 1.42 x 10-3 to a normal number?

• .00142