how many sig figs are there?
DESCRIPTION
How many sig figs are there?. 1. The leftmost nonzero digit is the most significant digit 2. If there is no decimal point, the rightmost nonzero digit is the least significant digit 3. If there is a decimal point, the rightmost digit is the least significant digit even if it is a zero. - PowerPoint PPT PresentationTRANSCRIPT
How many sig figs are there?
TOC
1. The leftmost nonzero digit is the most significant digit2. If there is no decimal point, the rightmost nonzero digit is the least significant digit3. If there is a decimal point, the rightmost digit is the least significant digit even if it is a zero.4. All digits between the least and most are also significant.
Examples30103010.002020.20.030.0103.200 x 104
TOC3, 6, 1, 2, 3, 5, 4
Examples1001.0 x 102
100..012.00015037 people in a class50,000 at a rally
TOC1, 2, 3, 2, 3, n/a, ??
How Many Sig Figs?
TOC
How many sig figs in
1250
? W3
How many sig figs in
300
? W1
How many sig figs in
300.
? W3
How many sig figs in
3.0 x 102
? W2
How many sig figs in
2.10
? W3
How many sig figs in
31.00150
? W7
How many sig figs in
.0232
? W3
How many sig figs in
.00150
? W3
How many sig figs in
8.900 x 105
? W4
Rule for multiplication and division
TOC
Round final answer to least number of sig figs of the operands:
123.50 x 21 2593.5 round to 2 places: 2600
Never round until totally done.
Whiteboardsx and / answer rounding
TOC
Express the answer with the correct number of sig figs:
1329.0 x 25 = ?
W
= 33,225 -> 33,000
33,225 > 33,000
Express the answer with the correct number of sig figs:
102.085 / 323 = ?
W
= 0.316052632 -> .316
0.316052632 >.316
Express the answer with the correct number of sig figs:
8.015 / 570 = ?
W
= 0.014061404 -> .014
0.014061404 > .014
Rule for addition and subtraction
TOC
Round final answer to least common place:
123.5497+21.1 144.6497 -> 144.6 as an expressed answer
Again, never round until totally done.<IB apparently does not require this rule>
Whiteboards+ and - answer rounding
TOC
Express the answer with the correct number of sig figs:
1.058 + 15.1 = ?
W
= 16.158 -> 16.2
16.158 = 16.2
Express the answer with the correct number of sig figs:
98 + 12 = ?
W
= 110 -> 110.
110 > 110.
Express the answer with the correct number of sig figs:
27.52 - 3 = ?
W
24.52 -> 25
24.52 > 25
Express the answer with the correct number of sig figs:
100 + 16 = ?
W
= 116- > 100
100
Quit your whining - use 116