044 Scientic Notation.notebook October 07, 2013 Quick Review (-4) -3 = 4 3 x 4 2 = 6 10 ÷ 6 3 = 7 8 7 3 Bell Work ( ) 3
044 Scientic Notation.notebook October 07, 2013
Quick Review
(-4)-3 =
43 x 42 =
610 ÷ 63 =
78
73
Bell Work
( )3
044 Scientic Notation.notebook October 07, 2013
Homework(pp: 11)
Worksheet #43 B
Have a great day!!!
Time to Check It!!
044 Scientic Notation.notebook October 07, 2013
044 Scientic Notation.notebook October 07, 2013
044 Scientic Notation.notebook October 07, 2013
044 Scientic Notation.notebook October 07, 2013
044 Scientic Notation.notebook October 07, 2013
Number, Number Sense and Operations Standard1. Use scientific notation to express large numbers and small numbers between 0 and 1.
044 Scientic Notation.notebook October 07, 2013
Scientific Notation - a method of writing very large or very small numbers by using powers of 10
044 Scientic Notation.notebook October 07, 2013
Alwaysmultiply
X
Alwayspower of
10Must be greater than or equal to 1 and less than 10.
Power positive if big number
negative if small num
ber
pp12
044 Scientic Notation.notebook October 07, 2013
Sort the given values. Written in proper scientific notation
Not written in proper scientific notation
044 Scientic Notation.notebook October 07, 2013
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.
51,600,000 5.16 x 10 7
﴿﴿﴿﴿﴿﴿﴿
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 . The exponent ﴾n﴿ is equal to the number of places the decimal point has been moved.n
044 Scientic Notation.notebook October 07, 2013
044 Scientic Notation.notebook October 07, 2013
044 Scientic Notation.notebook October 07, 2013
044 Scientic Notation.notebook October 07, 2013
A number is written in scientific notation if it is of the form
c x 10 n
where 1 < c < 10 and n is an integer. *
an integer is a positive, negative whole number including zero... 3, 2, 1, 0, 1, 2, 3 ...
*Move the box to reveal the answer.
044 Scientic Notation.notebook October 07, 2013
Very small number are also often written in scientific notation.
0.0024 = 2.4 x 10
For small numbers, the decimal point is moved to the right and the exponent is a negative integer.
3
Very small number are also often written in scientific notation.
0.0024 = 2.4 x 10
For small numbers, the decimal point is moved to the right and the exponent is a negative integer.
3
044 Scientic Notation.notebook October 07, 2013
Standard Form Scientific Notation
Write in scientific notation.
.000003 = 3.0 x 106
044 Scientic Notation.notebook October 07, 2013
Let's try one!!!
Write in scientific notation.
044 Scientic Notation.notebook October 07, 2013
Scientific NotationWriting Standard Notation in Scientific Notation
410,000 = 0.00709 =
6,980,000 = 0.000057 =
7,000,800 = 0.000000205 =
pp12
044 Scientic Notation.notebook October 07, 2013
5,643 _________________________ 0.000811 _________________________
6,057,981 ______________________ 0.00709 __________________________
28,407,118,753 __________________ 0.0000342 ________________________
Writing Standard Notation in Scientific Notation
pp12
044 Scientic Notation.notebook October 07, 2013
Converting Scientific Notation
044 Scientic Notation.notebook October 07, 2013
Standard notation a number that uses the digits 19, and 0; the value of each digit depends on its place in the number.
Scientific notation a form of writing numbers as the product of a power of 10 and a decimal number greater than or equal to 1 and less than 10; example 8,924,000 is written as 8.924 x 10 .6
044 Scientic Notation.notebook October 07, 2013
Here are some helpful hints!
044 Scientic Notation.notebook October 07, 2013
To change scientific notation to standard notation, just reverse the steps.
Move the decimal point the same number of places to the right as the exponent.
5.16 x 10 51,600,0007﴿﴿﴿﴿﴿﴿﴿
044 Scientic Notation.notebook October 07, 2013
Writing Scientific Notation in Standard NotationWrite the number in Standard Notation.
1.35 x 105 __________________________ Think: Move the decimal right 5 places.
2.7 x 103 _______________________________ Think: Move the decimal left 3 places.
pp13
044 Scientic Notation.notebook October 07, 2013
044 Scientic Notation.notebook October 07, 2013
With a partner, work on #14 pp. 13
044 Scientic Notation.notebook October 07, 2013
Comparing numbers written in Scientific Notation
3.2 x 106 > or < 2.4 x 104
Step 1.: First compare the powers of ten. The number with the bigger exponent is the greater number in scientific notation.
pp13
044 Scientic Notation.notebook October 07, 2013
Comparing numbers written in Scientific Notation
Step 2.
2.6 x 105 6.9 x 105> or <
: If the powers of ten are the same, compare the values that area between 1 and 10. The larger value implies the larger number.
pp13
044 Scientic Notation.notebook October 07, 2013
Example
Step 1: Compare powers of 10.Step 2: Compare values between 1 and 10..
Answer Red blood cell
044 Scientic Notation.notebook October 07, 2013
Example
Step 1: Compare powers of 10.
Answer Dust Mite
044 Scientic Notation.notebook October 07, 2013
6. A human body contains about 5.6 x 106 micro liters of blood. Write this number in standard notation.
044 Scientic Notation.notebook October 07, 2013
Worksheet # 44B
Have a great day!!!
Homework
pp14
(pp: 14)
044 Scientic Notation.notebook October 07, 2013
044 Scientic Notation.notebook October 07, 2013
044 Scientic Notation.notebook October 07, 2013
044 Scientic Notation.notebook October 07, 2013