Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.6 Exponents and Scientific Notation - Exercise Set 5.6: 125

Answer

A number in scientific notation can be converted to decimal notation by moving the decimal point to the left or to the right, depending on the power of 10 (to the left when the power is negative, to the right when positive).

Work Step by Step

A number in scientific notation can be converted to decimal notation by moving the decimal point to the left or to the right, depending on the power of 10 (to the left when the power is negative, to the right when positive). Example: To convert $1.2 \times 10^2 $ to a decimal with a power of 2, which is positive, move the decimal point of 1.2 two places to the right to find: $=120$ To convert $1.2 \times 10^{-2}$ to a decimal with a power of -2, which is negative, move the decimal point of 1.2 two places to the left to find: $=0.012$
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