4. Express the following quantities using known prefixes: 5. Express the followi

Question

4. Express the following quantities using known prefixes: 5. Express the following quantities in with no prefixes and in scientific notation: 6. Rank the following quantities in order from largest to smallest: 7. (i) How many significant figures are contained in the following numbers: (a) 3.0x10 4m, (b) 7.4x10-12s, (c) 4.5x10 og (a) 0.000325kg, (b) 15090g, (c) 2000us, (d) 4.1x10-8GHz, (e) 2.7x10°MB (a) 0.032kg, (b) 15g, (c) 2.7x10°mg, (d) 4.1x10-sGg, (e) 2.7x10ug (a) 123000, (b) 0.03050, (c) 3.570, (d) 7.50 x10-4, (e) 7.50 x10 (i) Evaluate the expressions below, and for each, give the answer with the correct number of significant figures. Also, state the number of sig. figs. in the answer. (a) 100.0+0.1 (b) 5.31 4.1 (c) 0.051 x 5.10 (d) 20025 (d) 18 + 2 x 1000 21.8+2 8. How many 50 mg tablets can be produced from 20 kg of ibuprofen? 9. One baked potato provides an average of 30 mg of vitamin C. If 70 lb. of potatoes has 20 potatoes, how many milligrams of vitamin C are provided per pound of potatoes? 10. If the price of gasoline at a particular station in Europe is 5 curos per liter. An American student in Europe is allowed to use 40 euros to buy gasoline. Knowing that 4 quarts make a gallon, and that 1 liter is about 1 US liquid quart, about how many gallons can the student buy?

Explanation / Answer

Answer 4 - Known prefixes

a = 0.0003 m

b = 0.0000000000074 s

c= 0.0000045 g

Answer 5 – Scientific Notation

a= 3.25 X 10-4 kg

b= 1.509 X 104 g

c= 2.0 X 103 us

d=4.1 X 10-8 GHz

e= 2.7X 108 MB

Answer 6:

Ranking the quantities from largest to smallest are as below

a=0.000325 kg = 325g

b= 15g

c= 2.7 X 105 mg = 2.7 * 105 * 10-3 g = 270g

d= 4.1 X 10-8 Gg = 4.1 X 10-8 * 109 g = 41g

e=2.7X 108 ug =2.7X 108 * 10-6 g = 270g

Largest to smallest = a (325g) > c & d (270g) >d (41g) > b(15g)

Answer 7 :

a = 123000 = significant number are 6

b = 0.03050 = significant number are 4

c = 3.570 = significant number are 4

d = 7.50 X 10-4 = 0.000750 = significant number are 2   

e = 7.50 X 104 = 75000 = significant number are 5   

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