Scientific Notation ... is a way to express very small or very large numbers.   ... is most often used in "scientific" calculations where the analysis.

Slides:



Advertisements
Similar presentations
Please turn in your Home-learning, get your notebook and Springboard book, and begin the bell-ringer! Test on Activity 6, 7 and 8 Wednesday (A day) and.
Advertisements

Scientific Notation Scientific Notation is a compact way of writing very large or very small numbers.
Scientific Notation. Essential Question  How do I use scientific notation to represent numbers?
Scientific Notation.
Scientific Notation.
Scientific Notation and Standard Form
Scientific Notation Chapter 4 Section 3
Objectives: (1) To write a number in scientific notation. (2) To perform calculations with numbers written in scientific notation.
Scientific Notation.
POWERPOINT THE SECOND In which you will learn about: Scientific notation +/-/x/÷ with sig figs Rounding.
Scientific Notation. What is scientific Notation? Scientific notation is a way of expressing really big numbers or really small numbers. It is most often.
§ 4.3 Scientific Notation. Angel, Elementary Algebra, 7ed 2 Scientific Notation A number written in scientific notation is written as a number greater.
Scientific Notation Scientific notation is simply a method for expressing, and working with, very large or very small numbers. Short hand method 5.2 x.
Chapter 4 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 4-1 Exponents and Polynomials.
Scientific Notation. What is scientific notation? Scientific notation is a way of expressing really big numbers or really small numbers. It is most often.
 Scientific notation is a way of expressing really big numbers or really small numbers.  It is most often used in “scientific” calculations where the.
Multiplying and Dividing by Powers of 10; 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.
TOPIC: Scientific Notation product The number is written as the product of two other numbers: not – A number between 1 and 10 (not 10) – and – A power.
5.5 Negative Exponents and Scientific Notation. Negative Exponents Using the quotient rule, But what does x -2 mean?
Scientific Notation The basics and some math.. Take out your calculator.  Write these calculations and the answer in your notes:  12,922,341 /
Warm-up. 4.9 Scientific Notation: Part I Positive Exponents Objective: To write and evaluate numbers in scientific notation and to calculate using scientific.
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.
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.
Evaluating Algebraic Expressions 4-5 Scientific Notation NS1.1 Read, write, and compare rational numbers in scientific notation (positive and negative.
Scientific Notation. Pages of notebook Essential question: How do I write small and large numbers using scientific notation? Objective: I can write.
Scientific Notation Helping us write really tiny or really big numbers.
SCIENTIFIC NOTATION Expressing a quantity as: a number between 1 and 10 multiplied by 10 to the appropriate power.
Scientific Notation By Jenny Erickson. What is scientific Notation? Scientific notation is a way of expressing really big numbers or really small numbers.
Scientific Notation What is scientific Notation? Scientific notation is a way of expressing really big numbers or really small numbers. It.
SCIENTIFIC NOTATION 5.67 x 10 5 –Coefficient –Base –Exponent 1. The coefficient must be greater than or equal to 1 and less than The base must be.
Scientific Notation. What is Scientific Notation? Scientific notation is a way of writing extremely large or small measurements. The number is written.
CFU Perform operations with numbers in scientific notation (multiply, divide, powers). SPI Multiply, divide, and square numbers expressed.
Chapter 3 Exponents, Factors, and Fractions. 3-1 to 3-2 Exponents, Orders of Operations, and Scientific Notation What You’ll Learn  To write numbers.
Scientific Notation.
Copyright © Cengage Learning. All rights reserved.
Scientific Notation.
Scientific Notation.
What does science have to do with math???
Scientific Notation.
Scientific Notation.
Scientific Notation Scientific notation takes the form: M x 10n
Significant Figures General Chemistry.
Notes: Scientific Notation
Scientific Notation.
Scientific Notation.
SCIENTIFIC NOTATION.
Scientific Notation.
Scientific Notation.
Scientific Notation.
Scientific Notation section 5.6
Scientific Notation.
Applying Exponent Rules: Scientific Notation
Multiplying & Dividing by Powers of Ten
Scientific Notation.
Scientific Notation.
Scientific Notation.
Scientific Notation.
Standard Notation to Scientific Notation
Scientific Notation.
Scientific Notation.
Scientific Notation.
Scientific Notation.
Scientific Notation.
Scientific Notation EXPONENTS X10.
SCIENTIFIC NOTATION ... a way to express very small or very large numbers that is often used in "scientific" calculations where the analysis must be very.
Scientific Notation.
Scientific Notation section 5.2
Scientific Notation.
Presentation transcript:

Scientific Notation ... is a way to express very small or very large numbers.   ... is most often used in "scientific" calculations where the analysis must be very precise. ... consists of two parts*: (1) a number between 1 and 10                                    and (2) a power of 10. *a large or small number may be written as any power of 10; however, CORRECT scientific notation must satisfy the above criteria.

is correct scientific notation 3.2 x 1013 is correct scientific notation Remember that the first number MUST BE greater than or equal to one and less than 10. 23.6 x 10-8 is not correct scientific notation  

To Change from Standard Form to Scientific Notation: 1 Place decimal point such that there is one non-zero digit to the left of the decimal point.   2 Count number of decimal places the decimal has "moved" from the original number.  This will be the exponent of the 10. 3 If the original number was less than 1, the exponent is negative; if the original number was greater than 1, the exponent is positive.

Examples: Given: 4,750,000 use: 4.75 (moved 6 decimal places) answer:  4.75 X 106 The original number was greater than 1 so the exponent is positive.   Given:  0.000789 use: 7.89 (moved 4 decimal places) answer:  7.89 x 10-4 The original number was less than 1 so the exponent is negative.  

To Change from Scientific Notation to Standard Form: 1 Move decimal point to right for positive exponent of 10.   2 Move decimal point to left for negative exponent of 10.

Examples: Given: 1.015 x 10-8 answer: 0.00000001015 (8 places to left) Negative exponent move decimal to the left. Given:  5.024 x 103 answer:  5,024   (3 places to right) Positive exponent move decimal to the right.

To Multiply and/or Divide using Scientific Notation: 1 Multiply/divide decimal numbers with each other.   2 Use exponent rules to "combine" powers of 10. 3 If not "correct" scientific notation, change accordingly.

Examples: Given:                                                      Method:                                                                                  Answer:                

Given:                                                      Method:                                                                                Answer:                  Correct Scientific Notation                     

Express in correct scientific notation: Part 1: Express in correct scientific notation: 1.  61,500   2.  0.0000568 3.  321 4.  64,960,000 5.  0.07085

Part 2: Express in standard form: 1.  1.09 x 103   2.  4.22715 x 108 3.  3.078 x 10-4 4.  9.004 x 10-2 5.  5.1874 x 102

Multiply or divide as indicated and Part 3: Multiply or divide as indicated and express in correct scientific notation: 1.                                          2.                   3.                                        4. 5.