How to write numbers in Scientific Notation Scientific Notation is a standard way of writing very large and small numbers so that they’re easier to use.

Slides:



Advertisements
Similar presentations
SCIENTIFIC NOTATION Scientific Notation should be used whenever a situation calls for the use of very large or very small numbers, such as distances in.
Advertisements

Objective The student will be able to: express numbers in scientific and decimal notation. Mrs. M. Williams -8 th Mathematics.
Scientific Notation. Essential Question  How do I use scientific notation to represent numbers?
7.2 Powers of 10 and Scientific Notation
Multiplying and Dividing in Scientific Notation
Objective The student will be able to: express numbers in scientific and decimal notation.
Section 8.5 Scientific Notation.
Scientific Notation and Standard Form
Objectives: (1) To write a number in scientific notation. (2) To perform calculations with numbers written in scientific notation.
Scientific Notation A short-hand way of writing large numbers without writing all of the zeros.
§ 4.3 Scientific Notation. Angel, Elementary Algebra, 7ed 2 Scientific Notation A number written in scientific notation is written as a number greater.
Learning Target We are learning to use scientific notation to express large and small numbers.
5-4 Scientific Notation (p )
Scientific Notation. Positive Exponents  10 1 = 10  10 2 = 10X10= 100  10 3 = 10X10X10 = 1000  10 4 = 10X10X10X10 = 10,000.
Martin-Gay, Beginning Algebra, 5ed 22 In many fields of science we encounter very large or very small numbers. Scientific notation is a convenient shorthand.
Scientific Notation A short-hand way of writing large numbers without writing all of the zeros.
 Scientific notation is a way of expressing really big numbers or really small numbers.  It is most often used in “scientific” calculations where the.
Flashback Convert interval notation to inequality notation. 1.[-2, 3]2. (-∞, 0) Convert inequality notation to interval notation ≤ x ≤ 44.
1. Scientific Notation Every positive number X can be written as:
Multiplying and Dividing by Powers of 10; Scientific Notation
Using Properties of Exponents
Integer Exponents 8 th Grade. Simplify Negative Exponents.
Scientific notation is a quick way of writing very large or very small numbers. Scientific Notation & Significant Digits Example #1 Write m/s.
Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Section 5.2 Negative Exponents and Scientific Notation.
Objective The student will be able to: express numbers in scientific and decimal notation.
Scientific Notation Student Expectation: 8 th Grade: 8.1.1D Express numbers in scientific notation, including negative exponents, in appropriate problem.
Scientific Notation Algebra Seminar. Objectives ► Write numbers in standard and scientific notation. ► Perform calculations with numbers in scientific.
Complete the Following Table. From the Previous Table… What patterns do you notice in the table? How can you tell how many zeros are in a number based.
Scientific Notation IPC NOTES. SCIENTIFIC NOTATION Scientific notation is used to write really large or really small numbers. ex) x10.
Scientific Notation. Vocabulary Scientific notation Standard form Product form.
Science often deals with large numbers. The number of hydrogen atoms in a liter of water is almost 70,000,000,000,000,000,000,000,000.
Miss Spiteri Chemistry
????????? x x x x x What do the numbers to the left have in common? They all start with a number.
In science, we deal with some very LARGE numbers: 1 mole = In science, we deal with some very SMALL numbers: Mass of an electron.
Objective The student will be able to: express numbers in scientific and decimal notation. Designed by Skip Tyler, Varina High School.
Today in Algebra 2 Go over homework Notes: you will need a calculator –Scientific Notation Homework.
Lesson Presentation.
Scientific Notation.  Allows us to write very big and very small numbers.
1-9 Scientific Notation (p ) Indicator  N1: Demonstrate an understanding of place value using powers of 10 and write large numbers in scientific.
Scientific Notation A short-hand way of writing large numbers without writing all of the zeros.
SCIENTIFIC NOTATION Expressing a quantity as: a number between 1 and 10 multiplied by 10 to the appropriate power.
Unit 7 – Exponents Topic: Exponential Properties & Scientific Notation.
Scientific Notation.
8.1: Zero and Negative Exponents 8.2: Scientific Notation To simplify expressions with zero and negative exponents to write numbers in scientific and standard.
Objective The student will be able to: express numbers in scientific and decimal notation. Designed by Skip Tyler, Varina High School.
Scientific Notation. What is the scientific notation? In science, we often deal with very large or very small numbers, scientific notation is a way to.
Scientific Notation A value written as a power of 10 A value written as a power of 10 Used to express very small or large numbers Used to express very.
Chapter 8 - Exponents Scientific Notation. Mental Math Multiplying: Move the decimal to the right 47 x x x x
Algebra Section 8 Day 2: Scientific Notation Algebra: S8 Day 21.
Scientific Notation. What is scientific notation Use of powers of 10 in writing a number is called scientific notation. Such number have the form M x.
Warm up and review for quiz tomorrow Simplify the following 1) x 2 x x 5 x 2)5x 5 4x 9 3) (3y 7 f 3 ) 3 4) 5) 6) 7)
Simplify the following Write all the answers using positive exponents. 1) 4 0 = 1 4) = – 72) – 7w 0 3) 5)
Aim: How do we use scientific Notation? It's Not Science Fiction...It's Scientific Notation! Scientific Notation.
SCIENTIFIC NOTATION LESSON 19.
Convert scientific notation to standard notation
Scientific Notation Learning Goal The student will be able to:
Scientific Notation Scientific Notation is used to so that REALLY REALLY BIG numbers and REALLY REALY SMALL numbers can be expressed much easier. For example,
How wide is our universe?
Unit 1: Matter & Measurement
Scientific Notation CP Chemistry.
Simplify the following
Scientific Notation Objective: Students will read and write numbers in
Scientific Notation.
Multiply & Divide with Scientific Notation
Multiplying and Dividing in Scientific Notation
A short form of writing very large or very small numbers
Scientific Notation EXPONENTS X10.
Scientific Notation Very large numbers and very small numbers are written in scientific notation.
Scientific Notation THE LOGICAL APPROACH.
Scientific Notation Students will learn the uses of Scientific Notation and apply the lesson into their studies.
Presentation transcript:

How to write numbers in Scientific Notation Scientific Notation is a standard way of writing very large and small numbers so that they’re easier to use

Scientific Notation The formula is N x 10^a Where N is a number between 1 and 10, but not 10, and a is an integer (positive or negative number) * You move the decimal point of a number until the new number is from 1-9 (N) and record the exponent (a) as the number of places the decimal was moved

To write in scientific notation for an exponent that is positive Moving the decimal point to the right makes the exponent negative; moving it to the left will give you a positive exponent. Example of positive exponent: write 425,000,000,000 in scientific notation 1.Move the decimal point to the left to create a number from 1-9. So, N = Determine the exponent, which is the number of times you moved the decimal. In this example you moved the decimal 11 times to the left, the exponent is positive. a= 11 Scientific notation of 425,000,000,000-(Nx10^a)=4.25x10^11

To write in scientific notation for an exponent that is negative Write in scientific notation 1. Move the decimal point to the right to create a new number from 1-9, so N= Determine the exponent, which is the number of times you moved the decimal. – You moved the decimal 7 times to the right; the exponent is negative. So a= -7 and you get 10^-7 – (Nx10^a) Scientific notation for is 2.5x10^-7