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Significant Figures
Significant figures
The number of meaningful digits in a measurement including the uncertain digit.
“sig figs”
0.520 30.0025
Significant figures
The number of meaningful digits in a measurement including the uncertain digit.
“sig figs”
0.520 30.0025 2 do not count zeros at the beginning500
Significant figures
The number of meaningful digits in a measurement including the uncertain digit.
“sig figs”
0.520 30.0025 2 do not count zeros at the beginning500 1 do not count end zeros if no decimal 0.02300
Significant figures
The number of meaningful digits in a measurement including the uncertain digit.
“sig figs”
0.520 30.0025 2 do not count zeros at the beginning500 1 do not count end zeros if no decimal 0.02300 4 count all other zeros120035
Significant figures
The number of meaningful digits in a measurement including the uncertain digit.
“sig figs”
0.520 30.0025 2 do not count zeros at the beginning500 1 do not count end zeros if no decimal 0.02300 4 count all other zeros120035 6500.
Significant figures
The number of meaningful digits in a measurement including the uncertain digit.
“sig figs”
0.520 30.0025 2 do not count zeros at the beginning500 1 do not count end zeros if no decimal 0.02300 4 count all other zeros120035 6500. 32.0 x 105
Significant figures
The number of meaningful digits in a measurement including the uncertain digit.
“sig figs”
0.520 30.0025 2 do not count zeros at the beginning500 1 do not count end zeros if no decimal 0.02300 4 count all other zeros120035 6500. 32.0 x 105 2 do not expand
Significant figures
The number of meaningful digits in a measurement including the uncertain digit.
“sig figs”
2.5002
Significant figures
The number of meaningful digits in a measurement including the uncertain digit.
“sig figs”
2.5002 50.00650
Significant figures
The number of meaningful digits in a measurement including the uncertain digit.
“sig figs”
2.5002 50.00650 35001
Significant figures
The number of meaningful digits in a measurement including the uncertain digit.
“sig figs”
2.5002 50.00650 35001 40.0200300
Significant figures
The number of meaningful digits in a measurement including the uncertain digit.
“sig figs”
2.5002 50.00650 35001 40.0200300 60.02010
Significant figures
The number of meaningful digits in a measurement including the uncertain digit.
“sig figs”
2.5002 50.00650 35001 40.0200300 60.02010 4200
Significant figures
The number of meaningful digits in a measurement including the uncertain digit.
“sig figs”
2.5002 50.00650 35001 40.0200300 60.02010 4200 1200.
Significant figures
The number of meaningful digits in a measurement including the uncertain digit.
“sig figs”
2.5002 50.00650 35001 40.0200300 60.02010 4200 1200. 3 2.0 x 102
Significant figures
The number of meaningful digits in a measurement including the uncertain digit.
“sig figs”
2.5002 50.00650 35001 40.0200300 60.02010 4200 1200. 3 2.0 x 102 22. x 102
Significant figures
The number of meaningful digits in a measurement including the uncertain digit.
“sig figs”
2.5002 50.00650 35001 40.0200300 60.02010 4200 1200. 3 2.0 x 102 22. x 102 1
Significant figures
Numbers that are counted or defined and not measured have zero uncertainty and infinite “sig figs”.
“sig figs”
2.50 cm
Significant figures
Numbers that are counted or defined and not measured have zero uncertainty and infinite “sig figs”.
“sig figs”
2.50 cm 33 girls
Significant figures
Numbers that are counted or defined and not measured have zero uncertainty and infinite “sig figs”.
“sig figs”
2.50 cm 33 girls infinite62.33 kJ
Significant figures
Numbers that are counted or defined and not measured have zero uncertainty and infinite “sig figs”.
“sig figs”
2.50 cm 33 girls infinite62.33 kJ 41 cm = 10 mm
Significant figures
Numbers that are counted or defined and not measured have zero uncertainty and infinite “sig figs”.
“sig figs”
2.50 cm 33 girls infinite62.33 kJ 41 cm = 10 mm infinite 12.3 oC
Significant figures
Numbers that are counted or defined and not measured have zero uncertainty and infinite “sig figs”.
“sig figs”
2.50 cm 33 girls infinite62.33 kJ 41 cm = 10 mm infinite 12.3 oC 3200 lb
Significant figures
Numbers that are counted or defined and not measured have zero uncertainty and infinite “sig figs”.
“sig figs”
2.50 cm 33 girls infinite62.33 kJ 41 cm = 10 mm infinite 12.3 oC 3200 lb 11 cm3 = 1 mL
Significant figures
Exact numbers that are counted or defined and not measured have zero uncertainty and infinite “fig figs”.
“sig figs”
2.50 cm 33 girls infinite62.33 kJ 41 cm = 10 mm infinite 12.3 oC 3200 lb 11 cm3 = 1 mL infinite$75.00
Significant figures
Exact numbers that are counted or defined and not measured have zero uncertainty and infinite “sig figs”.
“sig figs”
2.50 cm 33 girls infinite62.33 kJ 41 cm = 10 mm infinite 12.3 oC 3200 lb 11 cm3 = 1 mL infinite$75.00 infinite
Adding and Subtraction with Significant Figures
When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used.
1.21.036
+ 22.1
Adding and Subtraction with Significant Figures
When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used.
1.21.036
+ 22.1??
Adding and Subtraction with Significant Figures
When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used.
1.21.036
+ 22.1??= 43.1 the largest decimal place is the first
Adding and Subtraction with Significant Figures
When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used.
2.25.654
- 22.1??=
Adding and Subtraction with Significant Figures
When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used.
2.25.654
- 22.1??= 3.6 the largest decimal place is the first
Adding and Subtraction with Significant Figures
When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used.
3.301.2256
- 0.36
Adding and Subtraction with Significant Figures
When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used.
3.301.2256
- 0.36300.87 the largest decimal is the second
Adding and Subtraction with Significant Figures
When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used.
4. 8.053 x 107
+ 2.3 x 104
Adding and Subtraction with Significant Figures
When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used.
4. ↓ largest decimal place8.053 x 107 80530000.
+ 2.3 x 104 23000.
Adding and Subtraction with Significant Figures
When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used.
4. ↓ largest decimal place8.053 x 107 80530000.
+ 2.3 x 104 23000.8.055 x 107 80550000.
Adding and Subtraction with Significant Figures
When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used.
5.2.463 x 10-5
+ 5.006 x 10-2
Adding and Subtraction with Significant Figures
When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used.
5.2.463 x 10-5 0.00002463
+ 5.006 x 10-2 0.05006 ↑ largest decimal place
Adding and Subtraction with Significant Figures
When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used.
5.2.463 x 10-5 0.00002463
+ 5.006 x 10-2 0.050065.008 x 10-2 0.05008 largest decimal place
Adding and Subtraction with Significant Figures
When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used.
6. 5.331 x 10-4
- 2.126 x 10-5
Adding and Subtraction with Significant Figures
When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used.
6. ↓ largest decimal place5.331 x 10-4 0.0005331
- 2.126 x 10-5 0.00002126
Adding and Subtraction with Significant Figures
When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used.
6. ↓ largest decimal place5.331 x 10-4 0.0005331
- 2.126 x 10-5 0.000021265.544 x 10-4 0.0005544
Multiplying and Dividing with Significant Figures
When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used.
1.
V = distancetime
Multiplying and Dividing with Significant Figures
When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used.
1.
V = distancetime
V = 25.3698 m =2.0 min
Multiplying and Dividing with Significant Figures
When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used.
1.
V = distancetime
V = 25.3698 m =2.0 min
6 sig figs
2 sig figs
Multiplying and Dividing with Significant Figures
When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used.
1.
V = distancetime
V = 25.3698 m = 13 m/min2.0 min
6 sig figs
2 sig figs
2 sig figs
Multiplying and Dividing with Significant Figures
When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used.
1. Combining numbers- you are as good as your worst number!
V = distancetime
V = 25.3698 m = 13 m/min2.0 min
6 sig figs
2 sig figs
2 sig figs
Multiplying and Dividing with Significant Figures
When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used.
2.
Multiplying and Dividing with Significant Figures
When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used.
2.
2.5463 x 6.554 x 2.3 x 5.3222.336 1.5 7.896
Multiplying and Dividing with Significant Figures
When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used.
2.
2.5463 x 6.554 x 2.3 x 5.3222.336 1.5 7.896
= 7.3832
Multiplying and Dividing with Significant Figures
When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used.
2.
2.5463 x 6.554 x 2.3 x 5.3222.336 1.5 7.896
= 7.3832 must round to 2 sig figs like
Multiplying and Dividing with Significant Figures
When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used.
2.
2.5463 x 6.554 x 2.3 x 5.3222.336 1.5 7.896
= 7.3832 must round to 2 sig figs like
= 7.4
Multiplying and Dividing with Significant Figures
When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used.
2.
5.33 x 10-8 x 6.554 x 106 x 2.31 x 10-15 2.336 x 105 1.53 x 10-11
Multiplying and Dividing with Significant Figures
When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used.
2.
5.33 x 10-8 x 6.554 x 106 x 2.31 x 10-15 2.336 x 105 1.53 x 10-11
2.26 x 10-10
Multiplying and Dividing with Significant Figures
When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used.
2.
6.33 x 109 x 2.33 x 109 x 5.66 x 10-9 x 6.8 x 104
6.445 x 103 9.666 x 10-5 5.5 x 106
Multiplying and Dividing with Significant Figures
When multiplying or dividing numbers round the answer to the least number of significant figures found in any of the numbers used.
2.
6.33 x 109 x 2.33 x 109 x 5.66 x 10-9 x 6.8 x 104
6.445 x 103 9.666 x 10-5 5.5 x 106
1.7 x 109
Homework WS # 5
