
topic 0.4 intro to sig figs
Presentation
•
Chemistry
•
9th - 12th Grade
•
Easy
Standards-aligned
Tania Murphy
Used 24+ times
FREE Resource
4 Slides • 23 Questions
1
Why do we need to round this way?
In science we work with measured values, which are inherently uncertain no matter how sensitive our measuring tools are. Performing calculations with measured values doesn't take the uncertainty away, so we must round our answers to accurately reflect the uncertainty in the measurements.
2
3
Multiple Choice
State the number of significant figures in the following measurement: 153.0 mL
1
2
3
4
4
Multiple Choice
State the number of significant figures in the following measurement: 0.012 km
1
2
3
4
5
Multiple Choice
State the number of significant figures in the following measurement:
100000000 s
1
9
10
6
Multiple Choice
State the number of significant figures in the following measurement:
9009.00 Pa
2
4
5
6
7
Multiple Choice
State the number of significant figures in the following measurement:
0.000008 C
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2
6
7
8
Multiple Choice
How many significant figures does the following number have? 1.2500 x 103 (only concern yourself with the base number!!! the x10 and exponent do not factor in)
Ambiguous: 3 or 5
7
9
Multiple Choice
100.00
10
Multiple Choice
4004
11
Multiple Choice
0.00400
12
Multiple Choice
What is the value 7873.5, rounded to 3 sig figs?
7870
787
7870.0
7870.
13
Fill in the Blanks
Round 0.010229 to four sig figs
Type answer...
14
Fill in the Blanks
Round 1047.78 to three sig figs
15
Fill in the Blanks
Round 0.03244 to four sig figs
Type answer...
16
Fill in the Blanks
Round 88.9210 to two sig figs
17
Manipulating Significant Figures
Addition or Subtraction –
When adding or subtracting measurements with decimals, the answer must have the same number of decimals (digits to the right of the decimal point) as there are in the measurement having the fewest decimals.
Ex., 25.1 g + 2.03 g = 27.13 g (this is what a calculator would display)
The proper way to represent the answer is 27.1 g because the measure of 25.1 g has the fewest decimals (one).
18
Fill in the Blanks
Using the correct number of sig figs, what is the correct answer for: 12.00 m + 15.001m =
Type answer...
19
Fill in the Blanks
Using the correct number of sig figs, what is the correct answer for: 6.201 cm + 7.4 cm + 0.68 cm + 12.0 cm =
Type answer...
20
Fill in the Blanks
Using the correct number of sig figs, what is the correct answer for: 8.42 m - 3.16 m =
Type answer...
21
Manipulating Significant Figures
Multiplication and Division –
For multiplication and division, the answer can have no more significant figures than are in the measurement with the fewest significant figures.
Ex., 3.050 g / 8.47 mL = 0.360094451 g/mL, (this is what a calculator would display)
The proper way to represent the answer is 0.360 g/mL because the measure of 8.47 mL has the fewest sig figs (three), and 0.360 has three sig figs.
22
Fill in the Blanks
Using the correct number of sig figs, what is the correct answer for: 1.31 cm x 2.3 cm
Type answer...
23
Multiple Choice
7.80÷0.091= ?
Round your answer to the correct number of sig figs.
85.71429
85.71
85.7
86
24
Multiple Choice
3.11 x 2.1 =
6.531
6.53
6.5
7
6
25
Multiple Choice
Select the answer reported to the correct number of significant figures.
85 X 973
82705
83
82700
83000
26
Multiple Choice
Select the answer reported to the correct number of significant figures. 930÷412
2.2
2.26
2.25
2.3
27
Multiple Choice
(125+2.48)÷(23.75−21.0) = ?
50
46.36
46
46.4
Why do we need to round this way?
In science we work with measured values, which are inherently uncertain no matter how sensitive our measuring tools are. Performing calculations with measured values doesn't take the uncertainty away, so we must round our answers to accurately reflect the uncertainty in the measurements.
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