Sig Fig Detective
How many significant figures are in 0.00620 g?
3
Calculate and report with correct significant figures:
4.5 × 2.0
9.0
Convert 2.50 kg → g
2,500 g or 2.50 × 10³ g
An object has a mass of 36.0 g and volume of 12.0 mL. Find its density.
3.00 g/mL
An object has a density of 0.75 g/mL. It is placed in water with a density of 1.00 g/mL.
Will it float or sink?
Float
How many significant figures are in 40.070 mL?
5
Calculate:
8.42 cm × 3.1 cm
26 cm²
Convert 680 mL → L
0.680 L
A metal has a mass of 84.0 g and volume of 10.0 cm³. Find its density.
8.40 g/cm³
Initial water level: 20.0 mL
Final water level: 27.5 mL
What is the object's volume?
7.5 mL
Round 7.8462 cm to 3 significant figures.
7.85 cm
Calculate:
15.6 g ÷ 4.20 mL
3.71 g/mL
Convert 0.0725 kg → g
72.5 g
A liquid has a density of 1.20 g/mL and a volume of 25.0 mL. Find its mass.
30.0 g
An irregular object has:
Calculate its density.
Volume = 6.0 mL
Density = 8.0 g/mL
How many significant figures are in 0.0009050 kg?
4
Calculate:
62.50 g ÷ 8.2 mL
7.6 g/mL
Use dimensional analysis:
4.25 L → mL
4,250 mL or 4.25 × 10³ mL
A metal has a mass of 48.6 g and density of 2.70 g/cm³. Find its volume.
18.0 cm³
Three objects are placed in water.
A has a mass of 18.0g and volume of 20.0 mL
B has a mass 32.0g and volume of 16.0 mL
C has a mass of 45.0g and volume of 30.0 mL
Which object will float?
Object A
A = 0.900 g/mL
B = 2.00 g/mL
C = 1.50 g/mL
Only A has a density below water's 1.00 g/mL.
A student reports a measurement as 0.0300400 g. How many significant figures does it contain?
6
A student calculates 12.36 × 2.4 = 29.664. What should the student actually report?
30 (2 significant figures), preferably 3.0 × 10¹ to make the 2 sig figs explicit.
A sample has a mass of 0.00635 kg. Convert its mass to grams, maintaining the appropriate significant figures.
6.35 g
A sample has a density of 7.85 g/cm³ and volume of 4.50 cm³. Find its mass with correct significant figures.
35.3 g
Two unknown samples have these measurements:
Sample A
Sample B
Could they be made of the same substance? Prove your answer mathematically.
Yes.
Sample A:
63.0 ÷ 30.0 = 2.10 g/cm³
Sample B:
105 ÷ 50.0 = 2.10 g/cm³
They have the same density, so the results are consistent with the samples possibly being the same substance.