1.2 Laboratory and Reporting Skills

Slides:



Advertisements
Similar presentations
Scientific Notations - Operations Addition and Subtraction 1 st Convert one of the numbers so the exponents match 2 nd Add or subtract the decimal numbers.
Advertisements

Scientific Notation.
Scientific Notation Review
Scientific Notation.
Bell Quiz. Objectives Review how to write large and small numbers in scientific notation. Multiply and divide numbers written in scientific notation by.
Scientific Notation Chapter 4 Section 3
Scientific Notation.
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
Chapter 3 Vocabulary Measurement Scientific notation.
Chapter 4 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 4-1 Exponents and Polynomials.
Scientific Notation A short-hand way of writing large numbers without writing all of the zeros.
Exponents and Polynomials
Evaluating Algebraic Expressions 4-5 Scientific Notation Math fact: For very large and very small numbers, mega- indicated 10 6, giga - indicated 10 9,
1. Scientific Notation Every positive number X can be written as:
SCIENTIFIC NOTATION What is it? And How it works?.
Scientific Notation. Scientific Notation At the conclusion of our time together, you should be able to: 1.Define scientific notation 2.Convert numbers.
Operations on Scientific Notation Addition and Subtraction 1. If they have the same exponent - add/subtract the number in front - keep the same exponent.
Operations with Scientific Notation. Addition and Subtraction Format Addition (N * 10 x ) + (M * 10 x ) = (N + M) * 10 x Subtraction (N * 10 y ) - (M.
By Kevin Le. Exponent Laws  There are 3 different exponent laws. -Multiplication Law – You must add the exponents together when you multiply powers with.
Scientific Notation The basics and some math.. Take out your calculator.  Write these calculations and the answer in your notes:  12,922,341 /
Area of Focus: The Metric System. Area of Focus: The Metric System. Copyright © 2010 Ryan P. Murphy.
Scientific Notation AP Chemistry August 11 th, 2015.
 Exponents MUST BE THE SAME before you can add/subtract 2 numbers written in scientific notation.  Example 1: 7.35 x 10 2 m x 10 2 m = ? › Are.
Scientific notation. What is scientific notation?  Numbers are written in the form M × 10 ^n, Where the factor M is a number greater than or equal to.
Scientific Notation INTEGRATED MATHEMATICS. A number is written in scientific notation when it is expressed in the form below where a is greater than.
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. Convert to scientific notation       Convert to standard notation  1.92 X 10 3 
Rounding  We need to round numbers because a calculator often gives an answer with more digits than are justified by the precision of the measurements.
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.
Algebra Section 8 Day 2: Scientific Notation Algebra: S8 Day 21.
Scientific Notation. How far away is the nearest Star besides our Sun (Proxima Centauri)? ________________________ (__________) This number is written.
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.
Evaluating Algebraic Expressions 4-5 Scientific Notation NS1.1 Read, write, and compare rational numbers in scientific notation (positive and negative.
Scientific Notation.
Scientific Notation.
Scientific Notation Scientific Notation is sometimes called exponential notation. SCI NOT is used when working with very large or very small numbers.
Apply the power of a product property to a monomial algebraic expression
Math & Exponents.
Objective The student will be able to:
Quantitative Measurements
Objective The student will be able to:
Scientific Notation.
Adding and Subtracting Numbers in Scientific Notation
Notes: Scientific Notation
Scientific Notation.
SCIENTIFIC NOTATION.
Scientific Notation section 5.6
Applying Exponent Rules: Scientific Notation
Scientific Notation.
Scientific Notation.
Scientific Notation Notes
Unit 2 (8.EE.1) Vocabulary.
Scientific Notation.
Section 4.3 Scientific Notation.
Scientific Notation.
OBJECTIVES Precision VS Accuracy Significant Figures
Multiplying and Dividing in Scientific Notation
Multiplying and Dividing in Scientific Notation
10.7 Add, Subtract, Multiply, or Divide in Sc. Notation
Scientific Notation.
Scientific Notation.
Scientific Notation EXPONENTS X10.
Scientific Notation.
Scientific Notation section 5.2
Scientific Notation.
ID1050– Quantitative & Qualitative Reasoning
Presentation transcript:

1.2 Laboratory and Reporting Skills

The Scientific Method Read page 17 and complete Quick Check Robert Boyle Observation Hypothesis Experimentation Conclusion/ Statement of Theory Read page 17 and complete Quick Check

Observation: Quantitative or Qualitative?

Observation: Quantitative or Qualitative?

Conclusion/ Statement of Theory Set of explanations based on experiments General statement of fact Observation Hypothesis Experimentation Conclusion/ Statement of Theory

The Scientific Notation

A method for expressing, and working with, very large or very small numbers. 

The Scientific Notation COEFFICIENT It must be more than 1 but less than 10

The Scientific Notation BASE COEFFICIENT It must be more than 1 but less than 10

The Scientific Notation THE EXPONENT or POWER OF TEN BASE COEFFICIENT It must be more than 1 but less than 10

A Reading the Scientific Notation “5 point 7 times ten to the sixth power”

The Scientific Notation A Reading the Scientific Notation The Scientific Notation The Expanded Notation “5 point 7 times ten to the sixth”

To write a number in scientific notation: Put a decimal point after the first digit and drop the zeroes. To find the exponent, count the number of places from the decimal to the end of the numbers. 146,000,000 146,000,000 = 1.46 In 1.46000000 there are 8 places. Therefore we write 146,000,000 as 1.46 x 108

What is 567,000 in scientific notation? Copyright © 2010 Ryan P. Murphy

5.67000 5.67 x 105

What is 40,100,000,000,000 in scientific notation? This is the distance from earth to the nearest star Proxima Centauri. Copyright © 2010 Ryan P. Murphy

Answer! 40,100,000,000,000 = 4.01 x 1013 Copyright © 2010 Ryan P. Murphy

What is 8,000,000,000 in scientific notation? A projection for the number of people on earth! Copyright © 2010 Ryan P. Murphy

Answer! 8,000,000,000 = 8 x 109 Copyright © 2010 Ryan P. Murphy

What is 9.9 x 107? - Work in the opposite direction This is the distance from the Earth to Mars in Kilometers. Copyright © 2010 Ryan P. Murphy

Answer! 9.9 x 107 = 99,000,000 There needs to be six places after the decimal. Since the .9 is the first, you would add 6 zeroes to equal 107.

What is 3.844 x 105 ? The distance in kilometers from the Earth to the Moon.

Answer! 3.844 x 105 is 384,400 km

Scientific notation can be used for very small numbers as well. The decimal number 0.00000065 written in scientific notation would be 6.5 x 10-7 Copyright © 2010 Ryan P. Murphy

What is 0.00053 in scientific notation? Copyright © 2010 Ryan P. Murphy

Answer! 0.00053 = 5.3 x 10-4 Copyright © 2010 Ryan P. Murphy

What is 0.00000042 in scientific notation? Copyright © 2010 Ryan P. Murphy

Answer! 0.00000042 is 4.2 × 10-7 Copyright © 2010 Ryan P. Murphy

What is 9,780,000,000,000,000,000,000,000,000 in scientific notation? Copyright © 2010 Ryan P. Murphy

Answer! 9,780,000,000,000,000,000,000,000,000 9.78 x 1027 Copyright © 2010 Ryan P. Murphy

Multiplication and Division in Scientific Notation To MULTIPLY… MULTIPLY the coefficients and ADD the exponents

Multiplication and Division in Scientific Notation To MULTIPLY… MULTIPLY the coefficients and ADD the exponents 8.0 x 109

Multiplication and Division in Scientific Notation To MULTIPLY… MULTIPLY the coefficients and ADD the exponents 8.0 x 109 To DIVIDE… DIVIDE the coefficients and SUBTRACT the exponents 9.4 x 102

Multiplication and Division in Scientific Notation 8 x 107 3.0 x 102 9.3 x 10-3 2.0 x 102 7.5 x 102

Addition and Subtraction in Scientific Notation NEVER ADD OR SUBTRACT NUMBERS IF THE EXPONENT ARE NOT THE SAME! Adjust the numbers, so they have the same exponents Add/subtract the coefficients, keeping the exponents the same convert back to scientific notation (if needed)

Addition and Subtraction in Scientific Notation Adjust the numbers, so they have the same exponents Add/subtract the coefficients, keeping the exponents the same convert back to scientific notation (if needed)

Addition and Subtraction in Scientific Notation 7.654 x 108 5.2248 x 10-3

Scientific Notation and Exponents When one exponent is raised to some power… the coefficient is raised to that power the exponents are multiplied by one another (3.0 x 102)3 3.03 x 10 (2 x 3) 27.0 x 106

Scientific Notation and Exponents When one exponent is raised to some power… the coefficient is raised to that power the exponents are multiplied by one another 1015 8 x 106 25 x 108 36 x 1018

Graphing as x increases, y increases as x increases, y decreases as x increases, y increases very quickly