Download How to multiply and divide with sci. notation?

Scientific Notation
What is it again?
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It is where we represent very BIG or very SMALL numbers with 10x
where we multiply them with a rounded power of 10
4 x 103 = _________________________
5.32 x 10-4 = __________________________________
How to punch into a calculator?
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On your calculator, you have multiple buttons
– EXP
– EE
– Or manually punching in x 10
x
To put an exponent, you have multiple buttons too
–Y
–X
–^
x
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y
Try punching in 3.1 x 104 into your calculator
How to multiply and divide with sci. notation?
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Multiply the first value with the first value of each sci. notation
Multiply the base 10’s like you would with exponent laws. (REVIEW
THIS)
102 x 103 = ___________________________________-
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2.3 x 102 x 3.44 x 103
You have to multiply 2.3 x 3.44
Then multiply the 102 and the 103 and you will get ______________
Or you can punch it all into your calculator as
(2.3 x 102) x (3.44 x 103)
Example - 1
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(7.89 x 103) x (9.65 x 105)
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(8.65 x 104) ÷ (5.455 x 102)
Adding and Subtracting Sci. Notation
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You must make the exponents of the base 10 the same!
2 x 102 + 1 x 103 , you must convert either one to the other
exponent
0.2 x 103 + 1 x 103 = _____________________
2 x 102 + 10 x 102 = ___________________________
Or you can punch it into your calculator
Example - 2
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5.6 x 103 + 4.43 x 102
4.545 x 102 – 1.3434 x 102
Decimal Rules for Exponents
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Move decimal left = exponent gets ________________
23.4 x 103
Move decimal left 1 position and the 3 turns into a 4
_____________________
Move decimal right = exponent gets _________________
2.34 x 104
Move decimal right 1 position, the 4 turns back into a 3
____________________
Scientific notation to Standard Notation
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You want your 10x to turn into 100 because anything to the
exponent of 0 is equal to 1.
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You look at the exponent for the 10x
This is the number of ZEROES
_______________________________________________________
8 x 104 means you are adding 4 zeroes after 8 so it turns into _____
If the exponent is __________________
You are looking at adding that many zeroes before your value. So it
becomes 0.000….
8 x 10-3 means you are adding 0.00 (3 zeroes) before the 8 so it
becomes __________________
But, if there are already values after the decimal, those values
COUNT as ZEROES!
9.4124 x 109, the 4124 counts as 4 zeroes, so you only have to add 5
more.
=__________________
For negative exponents, since the decimals are already after the
zeros, you just add them after your first digit.
9.4124 x 10-3 = ____________________
Standard to Scientific
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Keep the first digit and __________________________
Put the rest of the NON-ZERO digit after the decimal
Count the number of digits after the FIRST digit that you put a
decimal in front. _________________________________________
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954353 turns into 9.54353 x 105 as there are 5 digits after the 9
If it is a decimal such as 0.009765. You have to put the first non-zero
digit you see as your first value and then a decimal. Then put the
rest of the digits after the decimal.
9.765 x 10x
The exponent will be the number of zeroes before the 9. So in this
case, you have 0.009 which is 3. So the exponent is -3.
It is negative because the value is a decimal
9.765 x 10-3