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MATH REVIEW ANSWERS
1. The volume of a certain wooden block is 63 cm3. The mass is 11.392 g. Find the density.
D=m/v
d=11.392 g ÷ 63 cm3 = 0.18 g/cm3
(2 sig figs)
2. The density of copper is 4.44 g./cm.3. If the mass of a piece of copper is 26.326 g, find the volume.
V= m/d
v= 26.326 g ÷ 4.44 g/cm3 = 5.93 cm3
(3 sig figs)
3. The mass of a pencil is 18.905g. You measure its mass as 18.895 g, 19.100g, and 18.90grams.
Which measurement is most precise? 18.895 and 19.100 are equally precise
Which is most accurate?
18.90 is most accurate
4. Solve the following problems. Check sig.figs and write your answers in scientific notation.
(a)
(3.8 x 105) (4.12 x 103)
15.656 x 108  1.6 x 109
(b)
(5.92 x 102) (3.68 x 104)
21.7856 x 106  2.18 x 107
(c )
(8 x 10-4) (3.12 x 10-2)
24.96 x 10-6  2 x 10-5
(d)
divide (9 x 103) by (2 x 104) 4.5 x 10-1  5 x 10-1
4. How many significant figures are in the following numbers?
a) 1.234 cm
b) 1.2340 cm
c) 1.234 x 10-3 cm
d) 1.2340 x 10-3 cm
4
5
4
5
e) 1234 cm
f) 12340 cm
g) 0.012340 cm
4
4
5
5. Complete the following operations and answer with the correct number of sig figs.
a) 1.421+ 0.4372 =
b) 0.0241 + 0.11 =
c) 0.14 x 1.2243 =
d) 760.0 ÷ 0.011 =
1.858
0.13
0.17
69,000
e) 1.0123 x 0.002 = 0.002
f) 123.69 - 20.1 =
103.6
g) 463.231 – 463.231 = 0.000
6. Perform the following unit conversions. Show your work.
(a) Convert 30 g/cm3 to g/dm3
10cm = 1dm so 103 cm3 = 1 dm3
(c ) Convert 0.34 Kg/cm3 to mg/mm3
1kg = 1000000mg
10mm=1cm so 103 mm3 = 1 cm3
(b) Convert 7 g/cm3 to kg/m3
100cm = 1m so 1003 cm3 = 1 m3; 1kg = 1000g
(d) Convert 4.9 dm3 to mL
10cm = 1dm so 103 cm3 = 1 dm3
1 cm3 = 1 mL
MATH REVIEW
Name: ______________________
1. The volume of a certain wooden block is 63 cm3. The mass is 11.392 g. Find the density.
2. The density of copper is 4.44 g./cm.3. If the mass of a piece of copper is 26.326 g, find the volume.
3. The mass of a pencil is 18.905g. You measure its mass as 18.895 g, 19.100g, and 18.90grams.
Which measurement is most precise?
Which is most accurate?
4. Solve the following problems. Check sig.figs and write your answers in scientific notation.
(a)
(3.8 x 105) (4.12 x 103)
(b)
(5.92 x 102) (3.68 x 104)
(c )
(8 x 10-4) (3.12 x 10-2)
(d)
divide (9 x 103) by (2 x 104)
4. How many significant figures are in the following numbers?
a) 1.234 cm
b) 1.2340 cm
c) 1.234 x 10-3 cm
d) 1.2340 x 10-3 cm
e) 1234 cm
f) 12340 cm
g) 0.012340 cm
5. Complete the following operations and answer with the correct number of sig figs.
a) 1.421+ 0.4372 =
b) 0.0241 + 0.11 =
c) 0.14 x 1.2243 =
d) 760.0 ÷ 0.011 =
e) 1.0123 x 0.002 =
f) 123.69 - 20.1 =
g) 463.231 – 463.231 =
6. Perform the following unit conversions. Show your work.
(a) Convert 30 g/cm3 to g/dm3
(b) Convert 7 g/cm3 to kg/m3
(c ) Convert 0.34 Kg/cm3 to mg/mm3
(d) Convert 4.9 dm3 to mL