### Sig Fig in Calc

```Rule 1: When multiplying and dividing,
limit and round to the least number of
significant figure in any of the factors.
Example 1:
39.0 mm X 385 mm X 55 mm =
830 000 or 8.3 X 105 since 55 mm has two
significant figures.
Rule 2: When adding and subtracting,
number of decimal places in any of the
Example 2:
643.40 mL + 40.0 mL + 55.001 mL =
The answer is expressed as 738.4 mL since
40.0 mL has only one decimal place.
Carry out the following calculations
correct number of significant figures.
Assume that all numbers are
measured quantities.
1. 0.742mL + 0.0259mL = 0.7679mL
The first value only had three
decimal places, whereas the
number of decimal places in any of the
2. 4.00 g – 3.5 g = 0.50 g
There is only one decimal place
in the second value, whereas the
number of decimal places in any of the
3. 22.1 ml + 33.2 ml + 224.08 ml
= 279.38 mL
There is only one decimal place
in the first and second value,
where as the third had two.
number of decimal places in any of the
4. 35.601 g – 34.1 g = 1.501 g
There is only one decimal place
in the second value, whereas the
number of decimal places in any of the
5. 150.00 g H2O
+ 0.507 g salt
150.507 g
solution
150.51 g sol. (correct
There are two decimal place in the
first value, whereas the second had
three.
number of decimal places in any of the
6. 67.5 cm - 0.009 cm= 67.491 cm
There is only one decimal place
in the first value, whereas the
number of decimal places in any of the
7. 0.008 mL + 0.05 mL = 0.058 mL
0.06 mL
There are two decimal place in
the second value, whereas the
number of decimal places in any of the
8. 250.001 g + 2.000 g + 5000.00 g =
5252.001 g
There is no decimal place
250001.
number of decimal places in any of the
9. 4.60 L + 3 L =
7.6 L
There is no decimal place on the
second value.
number of decimal places in any of the
10. 200 mm - 87.3 mm = 112.7 mm
There is no decimal place on the
first value.
number of decimal places in any of the
11. 13.7 cm X 2.5 cm = 34.25 cm
34 cm
Remember: When multiplying and dividing,
limit and round to the least number of
significant figure in any of the factors.
12. 300 cm X 2.88 cm = 864 cm
900 cm
Remember: When multiplying and dividing,
limit and round to the least number of
significant figure in any of the factors.
13.
89 cm
_________ = 0.988888889 cm
1 sig. fig
90 cm
1 cm
Remember: When multiplying and dividing,
limit and round to the least number of
significant figure in any of the factors.
14.
0.00003 g X 727.0 g = 0.02181
0.02 g
Remember: When multiplying and dividing,
limit and round to the least number of
significant figure in any of the factors.
15.
5003 mL / 3.78 mL = 1323.544974 mL
1320 mL
Remember: When multiplying and dividing,
limit and round to the least number of
significant figure in any of the factors.
16.
3.44 kg
= 0.2 kg
(3.440 kg X 5 kg)
0.2 kg
Remember: When multiplying and dividing,
limit and round to the least number of
significant figure in any of the factors.
17.
400.00 m
2.30 m
=
173.9130435 m
174 m
Remember: When multiplying and dividing,
limit and round to the least number of
significant figure in any of the factors.
18.
350.00 cm X 0.00072 cm = 0.252 cm
0.25 cm
Remember: When multiplying and dividing,
limit and round to the least number of
significant figure in any of the factors.
19. A piece of metal is found to have a mass of
1.201 grams. What would be the total mass,
in grams of 4002 identical pieces of metal?
19.
1.201 g X 4002 g = 4806.402 g
4806 g
Remember: When multiplying and dividing,
limit and round to the least number of
significant figure in any of the factors.
20. A piece of glass is found to have a thickness
of 0.122 mm. What would be the total
thickness of 5.0 identical pieces of glass?
20.
0.122 mm X 5.0 = 0.61 mm
0.61 mm
Remember: When multiplying and dividing,
limit and round to the least number of
significant figure in any of the factors.
Significant Figures
0.0299 ml
140 000 m
1280 cm
0.988 g
2475.0 kg
0.2 mm
23480 ml
3.12 L
162.2 ml
20.0 cg
3.9 dm
7.32 mm
5.8 dm
0.899 L
19.8 cm
```