Transcript SCIENTIFIC NOTATION & CALCULATOR MANIPULATION

SCIENTIFIC
NOTATION:
Abbreviating numbers
What is an EXPONENT?

A SUPERSCRIPT after “x 10” or “E”

Ex: “x 105” or “E5”

Denotes how many powers of ten

105 = 10 x 10 x 10 x 10 x 10

Answer is a 1 followed by zeros (defined by
the exponent)
100,000
BIG NUMBERS
Positive Exponents
5,987,774,231,541
Numbers smaller than 1
Negative Exponents
0.0000076319
Moving the decimal (+)
MOVE THE DECIMAL TO THE RIGHT
Moving the Decimal (-)
MOVE THE DECIMAL TO THE LEFT
PRACTICE:
1.
2.
3.
4.
5.
6.
4.67 x 105
1.94 x 101
7.69 x 100
2.48 x 10-2
7.35 x 10-6
2.52 E -4
= 467000
= 19.4
= 7.69
= 0.0248
= 0.00000735
= 0.000252
Converting to Scientific Notation
1. FIND THE DECIMAL
2. MOVE THE DECIMAL SO THE
BASE NUMBER IS LESS THAN
10, GREATER THAN 1
3. COUNT THE NUMBER OF
JUMPS
Cont.
4. ROUND ANSWERS SO THEY HAVE THREE (3) DIGITS
STARTING FROM THE LEFT
5. ADD “X 10” (or E)
6. THE NUMBER OF JUMPS IS YOUR EXPONENT!
PRACTICE:
1.
2.
3.
4.
56420
123
718134
6132
4
10
= 5.64 x
2
= 1.23 x 10
5
= 7.18 x 10
3
= 6.13 x 10
NEGATIVE EXPONENTS
If your number is less than 1
you will have a negative
exponent!
PRACTICE:
1.
2.
3.
4.
0.0184
0.000567
0.06
0.00057912347
= 1.84 x10-2
= 5.67 x10-4
= 6.00 x10-2
-4
= 5.79 x10
Three Number Rule
o
If there are not enough numbers add
zeros
o
If there are too many numbers round
Rounding
1.
START FROM THE LEFT AND COUNT THE FIRST 3
NUMBERS
2.
IF THE FOURTH NUMBER IS A 5 OR ABOVE ROUND UP!
3.
DROP UNNECESSARY NUMBERS
PRACTICE:
Put the problem in Sci. Not. 1st :Round
1.
2.
3.
4.
5.
6.
23794
0.0001146
468992
0.9999
2100100
0.000002
=2.38 x 104
=1.15 x 10-4
=4.69 x 105
=1.00 x 100
=2.10 x 106
=2.00 x 10-6
SCIENTIFIC NOTATION PRACTICE
Convert the following to normal notation:
1. 5.23 x 103
2. 2.90 x 10-9
3. 4.18 x 10-5
4. 2.71 E7
1.
2.
3.
4.
Convert the following to SCIENTIFIC notation (ROUND T
DIGITS):
0.00854
349001
0.03
1238
Round to 3 DIGITS (you have to put them in sci. not. first



6349
0.3487
7956143278
Prefixes:

Super


Above
Ex: X2
Sub

Below
Ex: X2
Exponent Rule!




DECIMAL MOVES 
EXPONENT becomes
MORE POSITIVE (+1)
DECIMAL MOVES 
EXPONENT becomes
MORE NEGATIVE (-1)
-3
-2
0.214
2.14 x 10