Scientific Notation Significant Digits

Slides:



Advertisements
Similar presentations
Multiplication, Division, Addition and Subtraction
Advertisements

Uncertainty in Measurements: Using Significant Figures & Scientific Notation Unit 1 Scientific Processes Steinbrink.
IN THE CHEMISTRY SECTION OF YOUR NOTEBOOK, TAKE CORNELL STYLE NOTES OVER THE INFORMATION PRESENTED IN THE FOLLOWING SLIDES. Measurements in Chemistry Aug.
 Scientific notation is a way of expressing really big numbers or really small numbers.  It is most often used in “scientific” calculations where the.
Significant Figures. Exact Numbers Some numbers are exact because they are known with complete certainty. Most exact numbers are integers: exactly 12.
1. Scientific Notation Every positive number X can be written as:
 Significant figures are the figures that are known with a degree of certainty.
Significant Figures. The Basics  All nonzero digits are significant  Ex: 1.2 – 2 significant digits  Ex: has 5 significant digits  Zeroes between.
Scientific Notation? Scientific notation is a way of expressing really big numbers or really small numbers.Scientific notation is a way of expressing really.
Significant Figures. Significant figures are the digits in any measurement that are known with certainty plus one digit that is uncertain. Number of significant.
Aim: How can we express a large or small number?
Scientific notation is a quick way of writing very large or very small numbers. Scientific Notation & Significant Digits Example #1 Write m/s.
Significant Figures Honors Coordinated Science II.
Measurements in Chemistry Aug 6, 2014 In the chemistry section of your notebook, Take Cornell style notes over the information presented in the following.
Fun Fact Your stomach has to produce a new layer of mucus every two weeks otherwise it will digest itself.
Scientific Notation Unit 1, Lesson 6. The Basics Scientific Notation means expressing numbers (usually very large numbers or very small numbers) in the.
Scientific Notation. From Scientific to Standard Notation Multiplying a number by 10 simply adds a zero. 10x10x10 is the same as 10 to the 3 rd power.
Scientific Notation Handling very big and very small numbers.
Significant Figures & Scientific Notation. Rules for SigFigs 1.Any non-zero digit is significant 2.Any trapped zeros are significant 3.Zeros to the left.
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.
Precision in measurement. Significant Figures The number of digits that have meaning to precision of data Rules 1. All non-zero numbers ARE significant.
September 20, 2010 – “F” Day Objective: – To understand the importance of measurement accuracy in calculations Do Now: – What is the density of a 45kg.
3.1 Using and Expressing Measurements Do Now: Using prior knowledge in math, put the following numbers in scientific notation
SIGNIFICANT FIGURES Fun With Numbers!!. SIGNIFICANT FIGURES Significant figures are all numbers in a measurement that show the level of accuracy to which.
When dealing with very large or very small numbers, keeping track of place value can be difficult. For this reason, numbers such as these are often expressed.
Significant figures Scientific Notation Dimensional analysis.
Significant Figures The significant figures (also called significant digits) of a number are those digits that carry meaning contributing to its precision.
Introduction to Significant Figures &
Scientific Notation.
SCIENTIFIC NOTATION LESSON 19.
Scientific Notation.
Significant Figures & Scientific Notation
Scientific Notation.
Convert scientific notation to standard notation
Scientific Notation.
Scientific Notation Students should be able to convert regular notation and scientific notation while following the rules of sig figs.
Scientific Notation.
Introduction to Significant Figures &
Significant Figures Tell how well the measurement was made (helps towards Precision) Significant figures in a measurement include the known digits plus.
Scientific Notation Mrs. Rauch 11/6/15.
Unit 2- Measurements- Significant Figures & Scientific Notation
Scientific Notation (small numbers)
Scientific Notation.
Introduction to Significant Figures &
Significant Figures.
Scientific Notation Scientific notation takes the form: M x 10n
Scientific Notation.
Scientific Notation Scientific notation takes the form: M x 10n
Scientific Notation.
Applying Exponent Rules: Scientific Notation
SIGNIFICANT FIGURES& SCIENTIFIC NOTATION
Significant Figures.
RULES Scientific Notation Base number MUST be between 1.00 and 9.99
How wide is our universe?
Unit 1: Matter & Measurement
Scientific Notation CP Chemistry.
Unit 3 (8.EE.3,4) Vocabulary.
2.5 Notes – Scientific Notation
Scientific Notation Objective: Students will read and write numbers in
Scientific Notation.
Introduction to Significant Figures &
Scientific Notation.
Scientific Notation Mrs. Nielsen Chemistry.
Introduction to Significant Figures &
Introduction to Significant Figures &
Tutorial on the Use of Significant Figures
Introduction to Significant Figures &
10.5 Reading & Writing Scientific Notation
SIGNIFICANT FIGURES. Significant Figures Instruments are only so precise. The number of digits reported are considered significant figures. There are.
Scientific notation: positive exponent
Presentation transcript:

Scientific Notation Significant Digits Physics Mr. Villa

In any measurement, the number of significant figures is critical. The number of significant figures in a result is simply the number of figures that are known with some degree of reliability.  The number 13.2 is said to have 3 significant figures. The number 13.20 is said to have 4 significant figures.

Significant Figures Rules for deciding the number of significant figures in a measured quantity: (1) All nonzero digits are significant: 1.234 g has 4 significant figures, 1.2 g has 2 significant figures. (2) Zeroes between nonzero digits are significant: 1002 kg has 4 significant figures, 3.07 mL has 3 significant figures.

Significant Figures (3) Leading zeros to the left of the first nonzero digits are not significant; such zeroes merely indicate the position of the decimal point: 0.001  has only 1 significant figure, 0.012 g has 2 significant figures. (4) Trailing zeroes that are also to the right of a decimal point in a number are significant: 0.0230 mL has 3 significant figures, 0.20 g has 2 significant figures.

Practice Significant Figures 1.  1.05  =     2.  0.0023 =   3.  4.566 = 4.   5.9  =         5.   3.00005 =   6.  845.6 = 7.   0.2 =       8.   5.55 =       9.   0.043 =

Scientific Notation A x10b Where, A is a real number b is an integer Scientific notation is a way of writing numbers that accommodates values too large or small to be conveniently written in standard decimal notation. In scientific notation all numbers are written like this: Where, A is a real number b is an integer Example A x10b Ordinary decimal notation Scientific notation (normalized) 200 2×10^2 4,000 4×10^3 4,880,000,000 4.88×10^9 0.0000000091 9.1×10^−9

Scientific notation Examples 500 in scientific notation is written like this 5.0x102 The exponent 2 that is on top of the 10 is because you moved the decimal 2 spots. If the number does not have a decimal like 500 then always put an imaginary decimal at the end.

Scientific Notation Big Numbers (positive exponent): The exponent refers to the number of zeros that follow the 1. Moving the decimal to the left example: 2094 2.094x10^3 101 = 10 = 10x1 102 = 100 = 10 x 10 103 = 1,000 = 10x10x10 104 = 10,000 = 10x10x10x10 Small Numbers (negative exponent) Negative notations indicate numbers smaller than 1. Moving the decimal to the right example: .00945 9.45x10^-3 10-1 = 1/10 = .1 10-2 = 1/100 = .01 10-3 = 1/1,000 = .001

Standard Form If a number is already in scientific notation then we can change it back to standard form. Example: 7.8x 104 would be written 78,000 because we moved the decimal place 4 to the right because of the 4 exponent on top of the 10. 7.8x10-4 would be written .00078 because we moved the decimal place 4 to the left because of the negative 4 on top of the 10.

Convert these numbers to standard notation or scientific notation Lets Practice! Convert these numbers to standard notation or scientific notation 6.17 x104 2.07 x10-3 .00098 139700000 61700 00207 9.8 x10-4 1.397 x108