CLICKERS!!!!! Multiply. 1. 95 x 10 6 2. 8.23 x 10 5 3. 864 x 10-5 4. 7.8 x 10-3 5. 5 x 10 8 6. 1.5 x 10 9 7. 54 x 10-3 8. 6.7 x 10-4
CLICKERS!!!!! Multiply. 1. 95 x 10 6 2. 8.23 x 10 5 3. 864 x 10-5 4. 7.8 x 10-3 5. 5 x 10 8 6. 1.5 x 10 9 7. 54 x 10-3 8. 6.7 x 10-4
Today's Agenda: 1. Bell Work: Multiplication problems 2. Assignment Sheet 3. Notes: Ch. 4-4 Scientific Notation
Lesson Objective: After the end of the lesson students will express large and small numbers with scientific notation by using the clickers. HW: WS: 4-4 Practice B (Both Sides)
Number, Number Sense and Operations Standard 1. Use scientific notation to express large numbers and small numbers between 0 and 1.
Scientific Notation - a method of writing very large or very small numbers by using powers of 10
scientific notation October 01, 2012
Must be greater than or equal to 1 and less than 10. Always multiply X Always power of 10 Power positive if big number negative if small number
Sort the given values. Written in proper scientific notation 0.235 x 10 5.005 x 10 25 5 x 9 5 2.35 x 6 7 Not written in proper scientific notation
Here are some helpful hints!
To change scientific notation to standard notation, just reverse the steps. 5.16 x 10 7 51,600,000 ) ) ) ) ) ) ) Move the decimal point the same number of places to the right as the exponent.
Writing Scientific Notation in Standard Notation Write the number in Standard Notation. 1.35 x 10 5 Think: Move the decimal right 5 places. 2.7 x 10-3 Think: Move the decimal left 3 places.
With a partner, work on #1-4 pp. 13 October 01, 2012
Which shows 4.56 x 10 12 in standard notation. A. 0.000 000 000 000 456 B. 4,560,000,000,000 C. 456,000,000,000,000 D. 0.000 000 000 0456
Which shows 3.27 x 10-11 in standard notation. A. 0.000 000 000 00327 B. 327,000,000,000 C. 32,700,000,000,000 D. 0.000 000 000 0327
Which shows 8.008 x 10-8 in standard notation. A. 0.000 000 008008 B. 8,008,000,000,000 C. 800,800,000,000 D. 0.000 000 08008
Which shows 8 x 10-10 in standard notation. A. 0.000 000 000 08 B. 80,000,000,000 C. 8,000,000,000 D. 0.000 000 0008
Which shows 6 x 10 12 in standard notation. A. 0.000 000 000 0006 B. 6,000,000,000,000 C. 600,000,000,000 D. 0.000 000 000 006
Which shows 8.6 x 10 13 in standard notation. A. 0.000 000 000 000 86 B. 86,000,000,000,000 C. 860,000,000,000,000 D. 0.000 000 000 00086
To write a number in scientific notation, first move the decimal point to the left to make a number greater that or equal to 1 and less than 10. Then multiply the number by 10 raised to a power, 10 n. The exponent (n) is equal to the number of places the decimal point has been moved. 51,600,000 5.16 x 10 7 ) ) ) ) ) ) ) Move the decimal point to make a number from 1 to less than 10. Raise 10 to the 7th power because you have moved the decimal point 7 places.
Very small number are also often written in scientific notation. 0.0024 = 2.4 x 10-3 For small numbers, the decimal point is moved to the right and the exponent is a negative integer.
Standard Form Scientific Notation Write in scientific notation..000003 = 3.0 x 10-6
Let's try one!!! Write in scientific notation.
Scientific Notation Writing Standard Notation in Scientific Notation 6,980,000 = 0.00 709 = 6,980,000 = 0.000 057 = 0.000 000 205 =
Writing Standard Notation in Scientific Notation 5,643 0.000811 6,057,981 0.00709 28,407,118,753 0.0000342 pp12
Which shows 0.000 0342 in scientific notation? A. 3.42 x 10 5 B. 3.42 x 10 4 C. 3.42 x 10-5 D. 3.42 x 10-4
Which shows 0.000 000 000 042 in scientific notation? A. 4.2 x 10-10 B. 4.2 x 10-11 C..42 x 10-10 D. 4.2 x 10 11
Which shows 0.000 000 000 000 02 in scientific notation? A. 2 x 10-13 B. 2 x 10-12 C..2 x 10-13 D. 2 x 10-14
Which shows 25,000,000,000,000,000 in scientific notation? A. 2.5 x 10 16 B. 2.5 x 10 15 C..25 x 10 15 D. 2.5 x 10-16
Which shows 25,005,000,000,000 in scientific notation? A. 2.5005 x 10 9 B. 25005 x 10 9 C. 2.5005 x 10 13 D. 2.5005 x 10-13
Which shows 2,000,000,000,000 in scientific notation? A. 2 x 10 13 B. 2 x 10 12 C..2 x 10 11 D. 2 x 10 14
Comparing numbers written in Scientific Notation Step 1.: First compare the powers of ten. The number with the bigger exponent is the greater number in scientific notation. 3.2 x 10 6 > or < 2.4 x 10 4 pp13
Comparing numbers written in Scientific Notation Step 2. : If the powers of ten are the same, compare the values that area between 1 and 10. The larger value implies the larger number. 2.6 x 10 5 > or < 6.9 x 10 5 pp13
Example Step 1: Compare powers of 10. Step 2: Compare values between 1 and 10.. Answer - Red blood cell
Example Step 1: Compare powers of 10. Answer - Dust Mite
Scientific Notation in the TI 30 Calculators October 01, 2012
The human eye blinks about 6.25 x 10 6 times each year. About how many times has the eye of a 14 year old blinked? Write the answer in scientific notation. October 01, 2012
In the United States there were 7.65 x 10 8 pieces of pizza consumed in 2011. The U.S. population was 2.9 x 10 8 people. What was the average amount of pizza consumed per person in 2011?
The mass of the Mercury is 9.89x10 15 kilograms. The mass of the earth is 5.98x10 24 kilograms. How many times bigger is the earth than mercury?
The population of Mathville is 8.6x10 4. The population of Algeville is 4.3x10 6. How many more people are there in Algeville? The population of Mathville is 9.6x10 3. The population of Algeville is 7.3x10 8. What is the difference in population between the two cities?
6. A human body contains about 5.6 x 10 6 micro liters of blood. Write this number in standard notation. October 01, 2012
Homework #17 Worksheet # 4-4B pp14 Have a great day!!!
CLICKERS!!!! October 01, 2012
Quick Review Evaluate. Write each answer as a single power (-4 6 ) -3 = 4 3 x 4 2 = (6 10 ) 3 = 7 8 7 3