04-4 Scientic Notation.notebook - Plain Local Schools Scientic Notatio… · 13/07/2010 · 044...

044 Scientic Notation.notebook October 07, 2013

Quick Review

(-4)-3 =

43 x 42 =

610 ÷ 63 =

78

73

Bell Work

( )3


Homework(pp: 11)

Worksheet #43 B

Have a great day!!!

Time to Check It!!






Number, Number Sense and Operations Standard1. 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


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


Sort the given values. Written in proper scientific notation

Not written in proper scientific notation


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





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.


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


Standard Form Scientific Notation

Write in scientific notation.

.000003 = 3.0 x 106


Let's try one!!!

Write in scientific notation.


Scientific NotationWriting Standard Notation in Scientific Notation

410,000 = 0.00709 =

6,980,000 = 0.000057 =

7,000,800 = 0.000000205 =

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5,643 _________________________ 0.000811 _________________________

6,057,981 ______________________ 0.00709 __________________________

28,407,118,753 __________________ 0.0000342 ________________________

Writing Standard Notation in Scientific Notation

pp12


Converting Scientific Notation


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


Here are some helpful hints!


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﴿﴿﴿﴿﴿﴿﴿


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



With a partner, work on #14 pp. 13


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


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


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


6. A human body contains about 5.6 x 106 micro liters of blood. Write this number in standard notation.


Worksheet # 44B

Have a great day!!!

Homework

pp14

(pp: 14)





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04-4 Scientic Notation.notebook - Plain Local Schools Scientic Notatio… · 13/07/2010 · 044...

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