Introductory Chemistry (5th Edition)

Published by Pearson
ISBN 10: 032191029X
ISBN 13: 978-0-32191-029-5

Chapter 2 - Measurement and Problem Solving - Exercises - Problems: 33

Answer

a) 7.461$\times10^{-11}$ b) 1.58$\times10^{-5}$ c) 6.32$\times10^{-7}$ d) 1.5$\times10^{-5}$

Work Step by Step

Scientific Notation is a simple way to represent very big or very small numbers, which are otherwise very tedious to write. In this notation, we write the number in the form of a decimal and with an exponent to 10. While writing a number in scientific notation, we need to remember that there is always only 1 digit before the decimal point. When we move the decimal to the right, we include a negative sign in the exponent, and while moving to the left side, we include a positive sign in the exponent. a) Here we are moving 11 digits to the right. So, the answer becomes 7.461$\times10^{-11}$. b) Here we are moving 5 digits to the right. So, the answer becomes 1.58$\times10^{-5}$. c) In this case, we are moving 7 digits to the right. Therefore, the answer is 6.32$\times10^{-7}$. d) In this case, we are moving 5 digits to the right. Therefore, the answer is 1.5$\times10^{-5}$.
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