Scientific Notation Why Do We Need It?.

Slides:



Advertisements
Similar presentations
2-6-4 Scientific Notation.
Advertisements

Exponent Rules – Day 1 Zero and Negative Exponents.
Significant Figures.
Scientific Notation.
Scientific Notation- Why?
PERFORMING CALCULATIONS IN SCIENTIFIC NOTATION
Introduction to Chemistry for Allied Health Sciences Scientific Notation Kirk Hunter Chemical Technology Department Texas State Technical College Waco.
Do Now The speed of light is 300,000,000 m/s
Scientific Notation Notes
POWERPOINT THE SECOND In which you will learn about: Scientific notation +/-/x/÷ with sig figs Rounding.
“A man with a watch knows what time it is. A man with two watches is never sure” (Unknown)
Scientific Notation.
Scientific Notation Often used to express very large or
Chapter 2.2 Scientific Notation. Expresses numbers in two parts: A number between 1 and 10 Ten raised to a power Examples: 2.32 x x
Tuesday 9/16/14 Learning Target: Know how to use and convert numbers into scientific notation. Learning Outcome: I will be able to use scientific notation.
Calculating with Significant Figures
Scientific Notation. What is scientific notation? Scientific notation is a way of expressing really big numbers or really small numbers. It is most often.
Chapter 2 Significant Calculations And Scientific Notation.
IN THE CHEMISTRY SECTION OF YOUR NOTEBOOK, TAKE CORNELL STYLE NOTES OVER THE INFORMATION PRESENTED IN THE FOLLOWING SLIDES. Measurements in Chemistry Aug.
SIGNIFICANT FIGURES. Significant Figure Rules There are three rules on determining how many significant figures are in a number: Non-zero digits are always.
It makes it look nicer Info from Notation.htmlhttp:// Notation.html.
 Scientific notation is a way of expressing really big numbers or really small numbers.  It is most often used in “scientific” calculations where the.
1. Scientific Notation Every positive number X can be written as:
Week.  Student will: scientific notation  Write in scientific notation.
Objective 1.To write very large or very small numbers in standard form, in scientific notation, and vice versa. To compare and order numbers in scientific.
Significant Figures & Scientific Notation
Scientific Notation. Scientific Notation At the conclusion of our time together, you should be able to: 1.Define scientific notation 2.Convert numbers.
Do NOW Please complete your Do NOW located in your packet I will collect it at the end of class in at end of class. Please work silently and independently.
Exponents & Scientific Notation MATH 102 Contemporary Math S. Rook.
SIGNIFICANT FIGURES. What are they?  It is important to be honest when reporting a measurement, so that it does not appear to be more accurate than the.
Math Outline Math Concepts Important to Chemistry A.Significant Figures and Rounding B.Scientific Notation C.Unit Conversions & Conversion Factors.
Scientific notation is a way of expressing really big numbers or really small numbers. Scientific notation is a way of expressing really big numbers or.
Aim: How can we express a large or small number?
Measurements in Chemistry Aug 6, 2014 In the chemistry section of your notebook, Take Cornell style notes over the information presented in the following.
Significant Figure Rules RulesExamples The following are always significant Non zero digits Zeros between non zero digits Zero to the right of a non zero.
Practice: a) cm – cm = b) 6.54 m x 0.37 m = c) 40.8 m 2  m =
Scientific Notation AP Chemistry August 11 th, 2015.
Objective The student will be able to: express numbers in scientific and decimal notation.
Aim: How to write in Scientific Notation DO NOW: 1. WHAT DOES 10 5 MEAN? 2. WHAT IS THE VALUE OF USING YOUR CALCULATOR, CALCULATE 4.5 X 10 6.
Scientific Notation Often used to express very large or very small numbers. Also used to maintain correct number of significant figures.
BIG NUMBERS and SMALL NUMBERS (Scientific Notation)
Aim: How to write in Scientific Notation and Count Significant Figures DO NOW: 1. WHAT DOES 10 5 MEAN? 2. WHAT IS THE VALUE OF USING YOUR CALCULATOR,
UNIT 1: TOOLS OF THE TRADE Math Skills Math Skills.
Mastery of Significant Figures, Scientific Notation and Calculations Goal: Students will demonstrate success in identifying the number of significant figures.
Dividing with Scientific Notation How can we deal with so many zeros? The mass of one carbon atom = ,200,000,000,000,000,000,000.
Scientific Notation Often used to express very large or very small numbers. Also used to maintain correct number of significant figures.
Objective The student will be able to: express numbers in scientific and decimal notation. Designed by Skip Tyler, Varina High School.
By: Brian Nghiem and Rony Godoy.  We use scientific notation to let us write really small numbers or really big numbers.  Also its an easier way to.
Why use scientific notation? We use very big numbers and very small numbers in chemistry. It’s hard to do computations with numbers that have lots of.
Scientific Notation Helping us write really tiny or really big numbers.
Scientific Notation. Scientific (Exponential) Notation A number is written as the product of two numbers, a coefficient and 10 raised to a power 36,000.
Scientific Notation What is scientific Notation? Scientific notation is a way of expressing really big numbers or really small numbers. It.
Algebra Section 8 Day 2: Scientific Notation Algebra: S8 Day 21.
Significant Figures. Significant Figure Rules 1) ALL non-zero numbers (1,2,3,4,5,6,7,8,9) are ALWAYS significant. 1) ALL non-zero numbers (1,2,3,4,5,6,7,8,9)
SCIENTIFIC NOTATION RULES. Rules for converting to Scientific Notation One non-zero number before the decimal One digit after the decimal If you are making.
PERFORMING CALCULATIONS IN SCIENTIFIC NOTATION ADDITION AND SUBTRACTION.
Scientific Notation. What is Scientific Notation? Scientific notation is a way of writing extremely large or small measurements. The number is written.
SIGNIFICANT digits (a.k.a. Sig Figs). What are sig figs?  It is important to be honest when reporting a measurement, so that it does not appear to be.
Scientific Notation Notes Physical Science (Freshman Physics)
Mastery of Significant Figures, Scientific Notation and Calculations Goal: Students will demonstrate success in identifying the number of significant figures.
1.7 International System of Units (SI) Measurement and the metric system.
PERFORMING CALCULATIONS IN SCIENTIFIC NOTATION
Scientific Notation.
Objective The student will be able to:
Objective The student will be able to:
REALLY BIG & REALLY small Numbers
Notes: Scientific Notation
SCIENTIFIC NOTATION.
Scientific Notation EXPONENTS X10.
Scientific Notation.
Presentation transcript:

Scientific Notation Why Do We Need It?

The “Size” of the Numbers Chemistry deals with very large and very small numbers 6.02 x 10 23 (Avogadro’s #) (lots of atoms) 1.5 x 10 -10 (size of an atom)

Big and Small Numbers 0.00000000000000000000000000000000663 How do we keep track of all those zeroes? 0.00000000000000000000000000000000663 x 300000000000 / 0.0000009116 Worse yet… calculations with those numbers Better in Scientific Notation (6.63 x 10 –31 x 3.0 x 10 10) /9.116 x 10-8 Now… more compact, better represents significant figures and is easier to calculate

This lesson will show you: 1. How to write numbers in scientific notation 2. How to convert to and from scientific notation 3. How to correctly do scientific notation on your calculator 4. How to calculate numbers in scientific notation

Format for Scientific Notation X = 1< N > 10 x 10 some positive or negative integer The decimal point is in correct location if it is behind the first non-zero digit. If 0< x> 1 the X = N x 10 negative number If 1< X < 10 then X = N x 100 If X > 10 then X = N x 10Positive number

Examples 0.00087 8.7 x 10-4 9.8 x 100 9.8 2.3 x 107 23 000 000

First Explanation Start at the decimal point of the original number Count the number of decimal places you move to get to one place to the left of the decimal The number of places you move is the exponent. Left it’s a positive value…..right is a negative value

Second Explanation Write all digits down with the decimal point just to the right of the first significant digit. This should always result in a value between 1 and 10 Now count how many decimal places you would move to recover the original number. If you count to the left the exponent is negative. To the right is positive.

Correcting Incorrect Scientific Notation 428.5 x 109 Write the integer as a number between 1 and 10 Correct the exponent

From Scientific to Decimal Exponential notation Normal Notation 1.25 x 102 6.83 x 10-2 3.35 x 10-8 9.33 x 1012 125 .0 683 .0 000 000 335 93 300 000 000

Math with Scientific Notation Addition and Subtraction All exponents MUST BE THE SAME before you can add and subtract numbers in scientific notation. The actual addition or subtraction will take place with the numerical portion, NOT the exponent. A good rule to follow is to express all numbers in the problem in the highest power of ten

Math with Scientific Notation Multiplication and Division Multiplication: Multiply the decimal portions and add the exponential portions. Division: Divide the decimal portions and subtract the exponential portions.

Examples 1.39 X 10-3 (3.05 x 106) x (4.55 x 10¯10) = (3.05 x 106) + (4.55 x 104) = 3.10 x 106 3.68 x 104 (1.05 x 108) / (2.85 x 103) = (9.33 x 10-13) - (4.55 x 10-14) = 8.88 x 10-13

Using Your Calculator Speaking realistically, the problems discussed can all be done on a calculator. However, you need to know how to enter values into the calculator, read your calculator screen, and round off to the proper number of significant figures. Your calculator will not do these things for you.

The EXP Key The right way involves the use of a key usually marked "EXP" or "EE." A usual wrong way involves using the times key, where the student presses times then 10 then presses the "EXP" key.

What to know about your calculator Be sure you know how to put your calculator into scientific notation. Be sure you know how to take it out of scientific notation. Know how you calculator reports exponents.