Course 3 4-4 Scientific Notation 135,000 1.35  100,000 1.35  10 5 1.35  10 5 10 = 100,000 5 WARM UP Write the number in standard notation (standard.

Slides:

Advertisements

Similar presentations

4-4 How Do I Express And Use Numbers In Scientific Notation? Warm Up

Advertisements

Exponents and Scientific Notation.

Scientific Notation SI Units

7.2 Powers of 10 and Scientific Notation

Scientific Notation.

Learn to express large and small numbers in scientific notation.

4-4 Scientific Notation Objective: I can write numbers using standard notation and scientific notation.

Scientific Notation Learn to express large and small numbers in scientific notation.

Objectives: (1) To write a number in scientific notation. (2) To perform calculations with numbers written in scientific notation.

Section 8.2 Scientific Notation

Bonus Bonus Do Now: Copy problem before working. Learning Goal: I can write small numbers in scientific notation using negative exponents.

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 February 26, 2014 Pages

2-9 Scientific Notation Warm Up Problem of the Day Lesson Presentation

Evaluating Algebraic Expressions 4-5 Scientific Notation Math fact: For very large and very small numbers, mega- indicated 10 6, giga - indicated 10 9,

Test on Numbers Thursday 7 th October Surds Index laws Cubes and Squares Scientific Notation.

Simplify each expression. Exponents and Division COURSE 3 LESSON 7-3 a. (–5) 0 b. y 0 (–5) 0 = 1Simplify.y 0 = 1Simplify. 7-3.

5.5 Negative Exponents and Scientific Notation. Negative Exponents Using the quotient rule, But what does x -2 mean?

Pre-Algebra 2-9 Scientific Notation 2-9 Scientific Notation Pre-Algebra Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson.

4-4 Scientific Notation Learn to express large and small numbers in scientific notation and to compare two numbers written in scientific notation.

Scientific and standard notation, conversion

2-9 Scientific Notation Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

Standard Form to Scientific Notation Day 41 Learning Target: Students can convert numbers from standard form into scientific notation.

Scientific Notation 8 th Grade Earth and Space Science Mrs. Liberatore.

Scientific Notation with positive powers of 10

Scientific Notation. An ordinary quarter contains about 97,700,000,000,000,000,000,000 atoms. The average size of an atom is about centimeters.

Scientific Notation IPC NOTES. SCIENTIFIC NOTATION Scientific notation is used to write really large or really small numbers. ex) x10.

7.10 Scientific Notation Objective: To use scientific notation. Warm – up: Express each number as a power of 10. 1)1002) 103) 1 4) 5)

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.

Scientific Notation Learn to express large and small numbers in scientific notation and to compare two numbers written in scientific notation.

Scientific Notation. How wide is our universe (in miles)? 210,000,000,000,000,000,000,000 miles (22 zeros) This number is written in standard notation.

Scientific Notation SWBAT write the scientific notation for numbers given in standard form; write the standard form for numbers given in scientific notation;

Scientific Notation Helping us write really tiny or really big numbers.

Today in Algebra 2 Go over homework Notes: you will need a calculator –Scientific Notation Homework.

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 Expressing a quantity as: a number between 1 and 10 multiplied by 10 to the appropriate power.

4-4 Scientific Notation Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

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.

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.

4-3 Scientific Notation Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

4-4 Scientific Notation Warm Up Order each set of numbers from least to greatest , 10, 10, , 8, 8, , 2, 2, , 5.2, 5.2,

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)

7.10 Scientific Notation Objective: To use scientific notation. Warm – up: Rewrite each number in decimal form. 1)1 x ) 3.6 x 10 6 Rewrite each.

Scientific Notation. An ordinary quarter contains about 97,700,000,000,000,000,000,000 atoms. The average size of an atom is about centimeters.

3-3 Scientific Notation Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

Simplify the following Write all the answers using positive exponents. 1) 4 0 = 1 4) = – 72) – 7w 0 3) 5)

Evaluating Algebraic Expressions 4-5 Scientific Notation NS1.1 Read, write, and compare rational numbers in scientific notation (positive and negative.

5 minute check 9 Click the mouse button or press the Space Bar to display the answers.

Course Scientific Notation Multiplication in Scientific Notation The number 123,000,000,000 in scientific notation is: 1.23 x Rules for Multiplying.

SCIENTIFIC NOTATION LESSON 19.

Learn to express large and small numbers in scientific notation.

4-4 Scientific Notation Warm Up Problem of the Day Lesson Presentation

2-9 Scientific Notation Warm Up Problem of the Day Lesson Presentation

Scientific Notation SWBAT write the scientific notation for numbers given in standard form; write the standard form for numbers given in scientific notation;

Standard Form to Scientific Notation

Scientific Notation with Negative Powers of 10

Warm Up Order each set of numbers from least to greatest.

Today Is… Wed, Nov 1st Warm-up

Scientific Notation with Negative exponents

7-2 Powers of 10 and Scientific Notation Warm Up Lesson Presentation

Scientific Notation.

Warm Up a) Order each set of numbers from least to greatest

Introduction video: HlVqZPHY

Introduction video: HlVqZPHY

An ordinary quarter contains about 97,700,000,000,000,000,000,000 atoms. The average size of an atom is about centimeter across. The length.

Chapter 4-8 Scientific Notation

Scientific Notation.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

SIGNIFICANT FIGURES. Significant Figures Instruments are only so precise. The number of digits reported are considered significant figures. There are.

2-9 Scientific Notation Warm Up , 10 , 10 , , 10 , 10 , 10

Presentation transcript:

Course Scientific Notation 135,  100,   = 100,000 5 WARM UP Write the number in standard notation (standard form). Goal for Today: Learn to express large and small numbers in scientific notation and to compare two numbers written in scientific notation.

Course Scientific Notation An ordinary quarter contains about 97,700,000,000,000,000,000,000 atoms. The average size of an atom is about centimeters across. The length of these numbers in standard notation makes them awkward to work with. Scientific notation is a shorthand way of writing such numbers. It allows the number to be between 1 and 10. Do you know how to write the numbers above in scientific notation?

Course Scientific Notation   10 –3 2.7  Write the number in standard notation. Additional Example 1B: Translating Scientific Notation to Standard Notation Continued A positive exponent means move the decimal to the right, and a negative exponent means move the decimal to the left. Helpful Hint

2.01  10 4 Course Scientific Notation 20,100 Think: Move the decimal right 4 places  = 10,  10,000 Additional Example 1C: Translating Scientific Notation to Standard Notation Continued Write the number in standard notation.

Course Scientific Notation A number less than 1 will have a negative exponent when written in scientific notation. Helpful Hint

Additional Example 2: Translating Standard Notation to Scientific Notation Course Scientific Notation Think: The decimal needs to move left to change 7.09 to , so the exponent will be negative Think: The decimal needs to move 3 places to get a number between 1 and  10 Set up scientific notation. Check 7.09  10 –3 = 7.09  = Write in scientific notation. So written in scientific notation is 7.09  10 –3.

Course Scientific Notation A certain cell has a diameter of approximately 4.11 x meters. A second cell has a diameter of 1.5 x meters. Which cell has a greater diameter? = x x Compare powers of 10. Additional Example 4: Life Science Application Compare the values between 1 and 10. The first cell has a greater diameter > x > 1.5 x 10 -5

Course Scientific Notation Try This! Write each number in standard notation   10 – ,000,000 17,  10 –3 5.7  10 7 Write each number in scientific notation. 5. Order the numbers from least to greatest. T 2  10 –4, 9  10 –5, 7  10 –5 7  10 –5, 9  10 –5, 2  10 –4 Homework: Scientific Notation worksheet pg