Transcript UNIT 1: TOOLS OF THE TRADE

UNIT 1: TOOLS OF THE
TRADE

Math Skills
Scientific Notation

Abbreviation used by scientists to express
extremely LARGE or SMALL numbers.
Takes the form M x 10n
 where 1 ≤ M <10

– If “n” is positive, the number is LARGE.
– If “n” is negative, the number is small.
Examples of Scientific Notation
Standard Form
Scientific Notation
6,230,000,000
6.23 x 109
504,000
5.04 x 105
0.00000065
6.5 x 10-7
0.00028
2.8 x 10-4
Changing number into Scientific Notation

Move the decimal point so there is only one
nonzero digit to the left of it.

973,000,000

Count how many spots the decimal moved. This
will be the “n” value.

Decimal moved 8 spots to left

Remember if the number was large to begin
with, “n” is going to be positive. If the number
was small to begin with, “n” will be negative.

9.73 x 108
9.73 000 000
Changing Number from Scientific Notation to
Standard Form

Check if “n” is positive or negative.

3.62 x 10-4

If n is positive, move the decimal to the Right the
same number of spaces of “n”’s value

(A positive “n” value indicates a LARGE number.)

If “n” is negative, move the decimal to the LEFT
the same number of spaces of “n”’s value.
(A negative “n” value indicates a SMALL number)
 0.000362

Calculators and Scientific Notation

Scientific calculators have a button to
represent x10n
Buttons can be:
 Exp
EE
E
x10n
 Look at your calculator, what button does
your calculator have?

Entering Numbers on Calculator

When entering a number in scientific notation, ALWAYS
use (Exp, E, EE , x10n etc.) button.

The multiplication sign does not need to be pressed.

Example: 3.2 x 1023
 Press 3
 Press .
 Press 2
 Press E, EE, Exp
 Press 23
Convert to Scientific Notation
1.
2.
3.
4.
5.
6.
0.00468
245,000,000
698,000
0.569
0.00000000758
893,000,000,000,000
1. 4.68 x 10-3
2. 2.45 x 108
3. 6.98 x 105
4. 5.69 x 10-1
5. 7.58 x 10-9
6. 8.93 x 1014
Convert to Standard Notation
1.
2.
3.
4.
5.
6.
10-5
8.32 x
4.258 x 108
2.0 x 10-2
6.6 x 104
5.23 x 10-9
1.9985 x 103
1. 0.0000832
2. 425,800,000
3. 0.02
4. 66,000
5. 0.00000000523
6.
1998.5
1. Calculate the answer using your calculator.
Remember the x 10 part scientific notation is the
same the EE or EXP button on your calculator.
a.
(4 x
108)
/ (6.74 x
10-2)
=
a) 5.93 x 109
b. (6.70 x 1017) / (8.60 x 10-3) = b) 7.79 x 1019
c. (4.7 x 10-2) x (5.07 x 10-6) =
c) 2.39 x 10-7
#5 More Practice
a) (1.16 x 103) x (5.9 x 10-7) = 2.79 x 10-6
(2.45 x 102)
b) (4.06 x 10-5) x (7.98 x 103) = 4.80x 102
(6.75 x 10-4)
c)
10-11)
(9.25 x
(4 x 1026) x (7.5 x 10-15)
-23
3.08
x
10
=