Chemistry 3.1 Importance of Measurements. I. Measurements A. Fundamental in everyday life 1. How many measurements made today? temp, clothes, car speed,

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 Chemistry.
PERFORMING CALCULATIONS IN SCIENTIFIC NOTATION
Vocabulary Chapter 7. For every nonzero number a, a⁰ =
Scientific Notation.
7.3 Multiplication Properties of Exponents
PERFORMING CALCULATIONS IN SCIENTIFIC NOTATION
Introduction to Chemistry for Allied Health Sciences Scientific Notation Kirk Hunter Chemical Technology Department Texas State Technical College Waco.
 To add numbers in scientific notation: 1) Add the constants 2) Keep the exponent the same  Example: (2.1 x 10 5 ) + (3.2 x 10 5 ) = ( ) x 10.
Scientific Notation Recognize and use scientific notation.
Chapter 4 Negative Numbers. Learning Objectives Order numbers Subtracting a larger number from a smaller number Adding negative numbers Subtracting negative.
Scientific Notation. Positive Exponents  10 1 = 10  10 2 = 10X10= 100  10 3 = 10X10X10 = 1000  10 4 = 10X10X10X10 = 10,000.
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.
MAT111 epw 9/18/06 The Decimal Number System or The Power of the Powers of 10.
1. Scientific Notation Every positive number X can be written as:
Intro to Chemistry. Scientific Notation Review your handout from before 10 = 1 x = 1 X 10 3 = 10 x 10 x 10.1 = = 1/10.01 = = 1/100.
Operations on Scientific Notation Addition and Subtraction 1. If they have the same exponent - add/subtract the number in front - keep the same exponent.
Multiplication Properties of Exponents Multiplying with Like Bases and Exponents Keep the base the same and add the exponents. Ex: 3 2  3 7 = 3 9 x 4.
Integer Exponents 8 th Grade. Simplify Negative Exponents.
Adding, Subtracting, Multiplying, and Dividing Real Numbers.
Chapter 8 – Exponents and Exponential Functions 8.1/8.3 – Multiplication and Division Properties of Exponents.
PROPERTIES OF EXPONENTS
1-2 Order of Operations and Evaluating Expressions.
Quantitative Values in Chemistry (Math!!) Scientific Notation Used for writing very small or very large numbers. Written as the coefficient multiplied.
Scientific Notation Helping us write really tiny or really big numbers.
Multiplying With Scientific Notation (3.8  102)  (5  104) = 1.) Change the order of the factors. 2.) Multiply and use the rules for exponents 3.) Make.
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.
Multiplication and Division of Exponents Notes
Operations and Numbers in Scientific Notation Foundations of Algebra.
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.
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.
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 Notation. Scientific (Exponential) Notation A number is written as the product of two numbers, a coefficient and 10 raised to a power 36,000.
Adding & Subtracting in Scientific Notation Exponents are SAME 1.) If exponents same, add or subtract the coefficients and keep the power of 10. Examples:
Regents Chemistry Scientific Notation PowerPoint Lectures Notes.
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.
Scientific Notation. What is Scientific Notation? Scientific notation is a way of writing extremely large or small measurements. The number is written.
Scientific Notation Notes Physical Science (Freshman Physics)
+Addition – like terms -all variables and exponents must match. – add coefficients.
Scientific Notation.
Scientific Notation.
Scientific Notation.
PERFORMING CALCULATIONS IN SCIENTIFIC NOTATION
Lesson Objectives Perform mathematical operations in scientific notation.
Adding & Subtracting in Scientific Notation
Math & Exponents.
Quantitative Measurements
REALLY BIG & REALLY small Numbers
Scientific Notation.
Scientific Notation.
SCIENTIFIC NOTATION.
Scientific Notation section 5.6
Scientific Notation.
Scientific Notation.
Scientific Notation.
Scientific Notation.
PERFORMING CALCULATIONS IN SCIENTIFIC NOTATION
Scientific Notation.
PERFORMING CALCULATIONS IN SCIENTIFIC NOTATION
Scientific Notation.
Scientific Notation section 5.2
Scientific Notation.
Section 12-3 Exponents & Multiplication
Presentation transcript:

Chemistry 3.1 Importance of Measurements

I. Measurements A. Fundamental in everyday life 1. How many measurements made today? temp, clothes, car speed, amount of food, length of shower, grades, etc. B. 2 Types of Measurements 1. Qualitative a. Def - descriptive results in a non- numerical form.

b. Ex: brown hat, soft feather, hard ground, thick book. 2. Quantitative a. Def - descriptive results in a numerical form. b. Ex: 5 books, 12:00, 5.8 x 10 5, 45 min.

II. Scientific Notation A. Why do we use scientific notation? 1. Much of chemistry deals with numbers in scientific notation. 2. Easy to use. 3. Saves time. B. Def – a number written as two separate numbers.  4.5 x 10 2

C. Two Parts 1. Coefficient – 1 st part of sci. notation  between 1 and 10 -Ex: 4.55, 6.58, Exponent – 2 nd part of sci. notation  begins with “10” + raised to the power of another number. -Ex 10 12, 10 8, 10 2.

 negative exponent = # smaller than 1  positive exponent = # larger than 1 Put into Scientific notation: a. 602,200,000,000,000 b c x x x x 10 2

D. Multiplication 1. Multiply coefficients 2. Add exponents E. Division 1. Divide coefficients 2. Subtract exponents

F. Adding 1. Make exponents the same number 2. Add coefficients 3. Keep exponents the same G. Subtracting 1. Make exponents the same number 2. Subtract coefficients 3. Keep exponents the same

In Class Problems 1. (4.0 x 10 5 ) x (3.5 x10 3 ) 2. (6.7 x 10 3 ) + (3.2 x 10 1 ) 3. (4.45 x 10 3 ) / (2.25 x 10 8 ) 4. (1.25 x 10 3 ) - (6.7 x ) 5. (8.2 x 10 5 ) + (2.9 x 10 2 ) (6.7 x 10 3 ) - (4.3 x ) (6.7 x 10 3 ) - (4.3 x )