Download 3.2b

Math 65. Section 3.2 continued. Scientific Notation
Scientific Notation:
I. Review multiplication and division by powers of 10.
Ex.
3.2 100 =
75 100 =
In general:
II. Standard Notation:
Scientific Notation:
Ex. 1: 7,300,000
Ex. 2: 0.000 000 45
Ex. 3:
3.45  106
Ex. 4:
4.56  10 3
Ex. 5:
2.1 104
Ex. 6: -230,000
Ex. 7: - 0.00573
Calculator Notation:
M65, Sec. 3.2 cont, pg 2
Ex. 8: 4.5E  7
means:
Ex. 9: 3.45E  6
means:
Ex. 10: -2,354E4
means:
Ex. 11: -1.57E-2
means:
III. Calculations with calculators:
4.3 EE 6
means
4.3  10 6
It will show up on your
calculator as 4.3E 6
Hints:
1. Use (
) around numerators and denominators.
2. Use EE 6 instead of *10^6
3. Use * between numbers instead of (
).
4. Write your answer in scientific notation using 7.2  10 4 ,
NOT calculator notation which is 7.2E 4 !
5. Be cautious with your negatives. You need to recognize when the
negative applies to the number, a, or to the exponent ,b.
Ex. 12:
1.49 1013
2.75 10  9
Leave your answer in scientific
Notation, rounded to two decimal
places.
M65, Sec. 3.2, cont. pg 3
Key Strokes:
1.49 EE 13  2.75 EE  9 ENTER
On your calculator it will look like: (1.49E13)/(2.75E-9) = 5.418181818E21
You need to interpret that calculator notation into scientific notation and
round your answer to two decimal places:
 5.42 1021
 4.3 10 5.4 10 
6
Ex. 13
8.2 10  2
5
Round your answer in
scientific notation to two
decimal places.
Key Strokes:
 4.3 EE 6*5.4 EE 5  8.2 EE  2 ENTER
Your calculator will show: (4.3 E 6 * 5.4 E 5)/(8.2 E – 2) = 2.831707E13
 2.83  1013
Use your rules of fractions, multiplication and exponents to check your
answer:
M65, Sec. 3.2 cont. pg 4
Use your calculator to find the following: Write out the keystrokes. Put
your final answer in scientific notation, rounded to 2 decimal places:
8.3 10  4.210 
3
7
Ex. 14:
5.43 104
Key Strokes:
Ex. 15:
3.4 10  3
(4.12)(3.75 108 )
Key Strokes:
 3.2 10 5.46 10 
1.12 10 3.5 10 
8
4
Ex. 16:
Key Strokes:
6
2