Chemistry (7th Edition)

Published by Pearson
ISBN 10: 0321943171
ISBN 13: 978-0-32194-317-0

Chapter 1 - Chemical Tools: Experimentation and Measurement - Section Problems - Page 30: 59


(a) 0.003221 mm (b) 894000 m (c) 0.00000000000135082 $m^3$ (d) 641.00 km

Work Step by Step

1. For negative exponents, move the decimal point to the left by the same times as its value indicates: $Hint$: If the first number is between 1 and 10, you will just add "n" zeros to the left, where "n" is the exponent number. Finally, we put a decimal point between the first and the second zero. (a) The exponent is "-3", so we move the decimal point by 3 times to the left (You will have to add "zeros" to represent the number): 1 to the left: $0.3221$ 2 to the lef: $0.03221$ 3 to the left: $0.003221$ (c) The exponent is "-12", so we have to move the decimal point 12 times to the left: 12 to the left $0.00000000000135082$. 2. For positive exponents, the decimal point will be moved to the right: ** Remember to put "zeros" wherever it is necessary. (b) We will have to move the decimal point by 5 times to the right: 3 to the right: $8940.$ Now, we just have to add 2 more "zeros" (To complete 5): $894000$ (d) 2 times to the right: $641.00$
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