Transcript REALLY BIG & REALLY small Numbers

REALLY BIG &
REALLY small Numbers
Scientific Notation - process of writing very
large and very small numbers.
Scientific Notation
The Proper Format 
M x 10n
“M” is a non-zero integer > 1 but < 10
“n” is an exponent = to the number of
decimal places one must move the
decimal to acquire the single digit M value.
“n” is negative if a you must move the decimal
to right. ( Small Number)
“n” is positive if a you must move the decimal to
left. ( Big Number)
Scientific Notation
Ex A:
42,000

4.2 x 10000.
Standard
Form
Ex B: 0.0000105
4.2 x 104
Scientific
Notation

1.05 x .00001 
1.05 x 10-5
Math using Scientific Notation
Multiplication & Division:
A)
When multiplying; the M values simply multiply together as in standard
notation, but the “n” exponents will add together.
3 x 104
X 2 x 103
(3)(2) x 10(3+4)  6 x 107
Ex:
2.5 x 10-3
X 4.9 x 10-6
(2.5)(4.9) x 10(-3)+(-6)
12.25 x 10-9  1.225 x 10-8
Math using Scientific Notation
Multiplication & Division:
b) When dividing; the M values simply divide together as
in standard notation, but the “n” exponents will subtract
denominator from numerator.
Ex:
3 x 103
4 x 104
 ¾ = .75
&
0.75 x 10-1
2.5 x 10-3
5.0 x 10-6
103/104 =10(3-4)

7.5 x10-2
 2.5/5.0 = .50
 10-3/10-6 = 10(-3)-(-6)
.50 x 103

5.0 x102