Significant Figures
Name: __________________________
For 1-15, write down how many significant figures each number has:
1. 4.53 _______
6. 2300 _______
11. 0.707 ______
2. 2.30 _______
7. 0.002 _______
12. 7070 ______
3. 1.02 _______
8. 1.000 _______
13. 7070 _______
4. 450 _______
9. 0.070 _______
14. 3.4E4 ______
5. 3200. ______
10. 7.070 ______
15. 1.02E-2 _______
For 16 – 25 write down the answers to the following questions using the correct number of
significant digits.
16.
4.5 + 2.34 = ________________
17.
4.5 – 5 = ___________________
18.
6.00 + 3.411 = ______________
19.
3.4 x 2.32 = _________________
20.
7.77 / 2.3 = _________________
21.
3.890 / 121 = ________________
22.
1200 x 23.4 = ________________
23.
78.5 + 0.0021 - 0.0099 = ___________________
24.
(3.4 x 8.90) x (2.3 + 9.002) = __________________
25.
(1.02 – 0.070) / (3200. x 0.02) = ___________________
1
Metric Conversions
Name________________________
Convert the following to km:
1) 1600.0 m = ____________
4) 2050 cm
2) 1.033 Mm = ____________
5) 245 565 mm = ____________
3) 20 099 m = ____________
6) 499 m
Prefix
Tera-
Abbv
T
Value
1012
Giga-
G
109
Mega-
M
106
Km
Hm
Dam
dm
cm
mm
1000
100
10
1
0.1
0.01
0.001
= ____________
= ____________
Convert the following:
9) 0.0325 kJ = ______________ cJ
21) 1202.5 mL
= ____________L
KiloHectoDecaUnit
decicentimilli-
10) 0.42101 Gg = ____________Mg
22) 25.5 km
= ____________m
micro-
μm
10-6
11) 0.12907 cm = ____________mm
23) 756 900 μs
= ____________ms
nano-
nm
10-9
12) 5600.4 Ms
= ____________Gs
24) 268 000 cm = ____________km
pico-
pm
10-12
13) 0.0075 Gm
= ____________km
25) 0.00091 TL
14) 0.00046 ks
= ____________cs
26) 244475.3 μs = ____________hs
15) 4096 MB
= ____________GB
27) 210 hm
16) 0.0002 μg
= ____________mg
28) 448.5 cg
= ____________g
17) 0.00034 μL = ____________cL
29) 2103.55 s
= ____________ks
18) 11 120.33 ng = ____________cg
30) 0.0000012 GL = ____________cL
7) 10.034 mJ
= ____________cJ
19) 36.45 cL
= ____________μL
8) 0.05 cm
= ____________mm
20) 1024 mmol = __________dmol
= ____________ML
= ____________cm
2
Chemistry Conversions
Name: ______________________
Stuff you need to know for any test/quiz
1m = 1000mm
1km = 1000m 1kg = 1000g
khdudcm 1 mile = 5280 ft
Others:
1 furlong = 40 rods
1 kg = 2.2 lbs.
1 peck = 2 gallons
1 rod = 16.5 feet
1 gallon = 8 pints
1 quart = 2 pints
1 pint = 16 oz
1 pint = 2 cups
1m = 100cm
1cm3 = 1ml
1 oz = 29.57 ml
1 lb = 7000 grains
1L = 1000ml
1 stone = 14 lbs
1 slug = 14.953 lb
Setup the following conversions using a conversion factor. Check by using khdudcm (if you can).
1) 1.2mg = ?g






2) 6.3 miles = ?mm
3) 5.12m = ?inches
4) 12 kg = ? stone
5) 6.0012 pecks = ? quarts
6) 10 013cm = ? rods
7) 1 mile = ? furlongs
8) How many seconds are in two months?
3
9) 8 pints = ? ml
10) 30,000 grains = ? slug
11) 21 L = ? m3
12) 3658 ml = ? quarts
13) 37
𝑠𝑡𝑜𝑛𝑒𝑠
𝑚3
= ? g/ml
14) 0.056 lbs/cup = ? kg/L
15) 65 rods/min = ? miles/hr
16) 36 miles/gallon = ? km/L
17) Convert 6 km/hr to furlongs/fortnight
4
METRIC CONVERSION PROBLEMS
1 inch = 2.54 cm
Ko = Co + 273
1 fortnight = 2 weeks
Including non metric units
Fo = 1.8Co + 32
1 ml = 1 cm3
1 kg = 2.2 lbs
1) 8.32 cg to mg
2) 40.4 Km to cm
3) 50.1 mm to Km
4) 4.8 lb to kg
5) 1200 m to miles
6) 6'4" to cm
7) 23Fo to K
8) -180 Co to K
9) 540K to Fo
10) 458Fo to Co
11) 8 m3 to L
12) 47.5 cm3 to L
13) 18.2 ml to cm3
14) 0.164 m to inches
15) 0.76 Dam to yards
16) 43 days to minutes
17) 3.8 years to fortnights
18) 1 year to seconds
5
A pane of glass has a volume of 22.6L. If the width of the glass is 46cm, and the height is 460cm, how
thick is the glass?
Darth Vader uses the force to throw a sphere of super-heated plasma toward Yoda the Jedi Master.
Yoda using his Jedi reflexes and leaps out of the way, estimating the diameter of the sphere to be
14cm. (A) what is the volume of the sphere in L and m3? (B) If the density of the plasma is 0.10 g/ml
what is the mass of the plasma? See the front for volume of sphere formula.
A cylindrical tank is to be filled with 300,000 L of hydrochloric acid for industrial use and has to be 7 m
tall. Calculate the diameter of the tank.
Digitalis is a drug administered for the treatment of atrial fibrillation but is very toxic. Dosages are
given in mg/kg meaning so many milligrams of digitalis for every kilogram of body mass of the patient.
This way, an infant and an adult, although having different mass, will receive the same dosage. A common
dosage is 20 mg/kg. If a person weighs 165 lb, how many mg of digitalis should be administered?
6
Volume, Density, and Percent Error Practice Problems
Use conversion factors and/or pictures to solve the following problems.
1. A nicely sized fish tank contains about 20L of water. Convert to milliliters, cubic centimeters, and
cubic meters. Remember the link between dimensional and liquid measures of volume.
2. A block measures 17dm by 32cm by 403mm. What is the volume of the block in Liters?
3. The density of a fishing canoe, with occupants, is designed to be about 0.50g/cm3. If the mass of a
canoe is about 50kg and needs to hold two 80 kg adults, what must the volume of the canoe be (its
displacement)?
4. A Nimitz class aircraft carrier has a mass of about 80 million kilograms (8.0E7kg). If the density of
the ship is designed to be 950 kg/m3, what is the approximate volume of a Nimitz class carrier in
cubic meters?
5. Jenny measures the mass of a copper bar at 15.67 g, and finds the sides are 2.9 x 1.3 x 0.5 cm.
Copper has a known density of 8.96 g/cm3. Calculate Jenny’s density, find the absolute error and the
percent error of her finding.
7