Exercise 1: Unit Conversion Use Figure 9 to convert each value into the designat
ID: 500979 • Letter: E
Question
Exercise 1: Unit Conversion
Use Figure 9 to convert each value into the designated units. Submit this exercise to your professor when completed.
Figure 9. Conversions for temperature, time, mass and length.
1. 46.0 g = _______ kg
2. 57 seconds = ________ minutes
3. 13.5 cm = ________ inches
4. 47 °F = _______ °C
Exercise 2: Significant Digits and Scientific Notation
Part 1: Determine the number of significant digits in each number and write out the specific significant digits. Submit Part 1 and Part 2 to your professor when completed.
1. 405000
2. 0.0098
3. 39.999999
4. 13.00
5. 80,000,089
6. 55,430.00
7. 0.000033
8. 620.03080
Conversion Chart Temperature: 5/9 (F 32) Time: 60 seconds equals one minute 60 minutes equals one hour Mass: 1000 milligrams equals one gram 1000 grams equals one kilogram Length: 2.54 centimeters equals one inchExplanation / Answer
Exercise 1:
1. 46.0 gm = 46.0 X 10-3 X 10+3 gm = 46.0 X 10-3 (X 10+3 gm) = 0.046 Kg (As 1 Kilo = 10+3 )
2. 57 seconds = (57/60) X (60 seconds) = 0.95 Minute (As 60 seconds = 1 Minute)
3. 13.5 cm = 13.5 cm X (1 inch / 2.54 cm ) = (13.5 / 2.54) = 5.31496 inch. (As 1 inch = 2.54 cm, multiplying with (1/2.54) is similar to multiplying 1, but we obtain result in the desired unit.)
4. 47 0F = 8.334 0C
As Formula says:
C = (5/9) X (F-32)
now substitue 47 in place of F in above equation
(Ans (in 0C)= (5/9) X (47-32)= (15X5)/(9)= (25/3) =8.334 0C)
Exercise 2:
1. 405000 has 3 signigicant digits.
(by 3 rules:
i. Zeroes between 2 non-zero digits are significant. this makes 1 zero that is in between 4 & 5 as significant.
ii. Non-zero digits are always significant. hence this makes both 4&5 significant.
iii. Trailing Zeroes in a whole number are insignificant.
Hence total Significant figures becomes 3.)
2. 0.0098 has 2 Significant figures.
( Space holding zeros (zeroes preceeding a non-zero digit after the decimal postion of number) on numbers less than one are insignificant as when number written in scientific form as 9.8X10-3 Those 2 zeroes loses its significance.)
3. 39.999999 has 8 significant digits as Non-zero digits are always significant.
4. 13.00 has 4 significant figures as Trailing Zeroes Following a decimal gives the precision and hence are significant.
5. 80,000,089 has 8 significant figures as Zeroes between 2 non-zero digits are significant.
6. 55,430.00 has 7 significant digits as as Trailing Zeroes Following a decimal gives the precision and hence are significant and the zero preceeding the decimal is also significant because of the presence of the decimal point.
7. 0.000033 has 2 significant figures Space holding zeros (zeroes preceeding a non-zero digit after the decimal postion of number) on numbers less than one are not significant.
8. 620.03080 has 7 significant figures as a final zero or trailing zeros in the decimal portion ONLY are significant (i.e. after 8) and the space holding zero is not significant(i.e before 3). also zero after 2 is significant as it is followed by a decimal.
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