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Counts by 10! Unit Question How do we “do” science?

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1 Counts by 10! Unit Question How do we “do” science?
Monday, September 21, 2015 Tuesday, 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 Metric Notes Conversions Worksheets Homework Quiz this Friday! No notes. TEST Next week! Be able to use equipment. Open note. Counts by 10!

2 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

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

4 Let’s do some review work before we begin.

5 Do the following calculations
230 x 10 = x 10 = x 100 = x 100 =  10 =  100 =  10 =  100 =  100 =

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

7 Converting Metric Units
How many centimeters is in 5 meters?

8 Metric Prefixes 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.

9 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?

10 Writing Metric abbreviations
Prefix plus base unit Kiloliter = kL Millimeter = mm Meter = m ??? Just one letter? That means it’s your base unit!

11 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.

12 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

13 How many steps does it take to get from L, our basic units, to mL?
Convert 2.5L to mL We start here, with L We end here, with mL How many steps does it take to get from L, our basic units, to mL?

14 Convert 2.5L to mL How many steps did we take? 3 steps

15 Convert 2.5L to mL How many decimal places do we move? 3 places

16 Convert 2.5L to mL Which direction did we move? To the Right

17 Convert 2.5L to mL Which direction does the decimal go? To the Right

18 What’s that look like? 2.5

19 2.5L=2500mL 2.5L a25dLa250cLa2500mL Convert 2.5L to mL
What do our numbers look like? 2.5L a25dLa250cLa2500mL 2.5L=2500mL

20 So now, to go left… Convert 5000 m to Km

21 So now, to go left… 3 Count your steps

22 And move your decimal 5.0km 50.0hm 500.0Dm 5000.0m

23 5000.0m = 5.0km

24 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 1420

25 Scientific Notation

26 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!

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

28 The number 123,000,000,000 in scientific notation is written as: 1
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.

29 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.

30 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: sec. OR 1.0 x10-6

31 Getting out of Scientific Notation
What’s the x 10exponent mean? That exponent is how many places the decimal moves over. 1.23 x 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 the decimal moves over 11 places to the LEFT, making a SMALL number:

32 Scientific Notation What’s my 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? How many places did it move? That number of places becomes my superscript. What’s my scientific notation? 1.23 x 106 6

33 Write the width of the universe in scientific notation.
210,000,000,000,000,000,000,000 miles Where 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

34 2.10,000,000,000,000,000,000,000. How many decimal places did you move the decimal? 23 When the original number is more than 1, the exponent is positive. The answer in scientific notation is 2.1 x 1023

35 1) Express 0.0000000902 in scientific notation.
Where would the decimal go to make the number be between 1 and 9? 9.02 The decimal was moved how many places? 8 When the original number is less than 1, the exponent is negative x 10-8

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

37 Example Problems 5,876,300 = = 3.268 x 104 = 3.76 x 10-3 = x 106 1.52 x 10-5 32680 .00376

38 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!

39 Keys Scientific Notation Key Metric key

40 Exit Question How many decimeters are in 1.5 meters?
15 dm Convert 1.42 x 10-3 to a normal number? .00142


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