Sometimes it is more convenient to express a number as a product of a power of 10 and a number that is not between 1 and 10. For example, suppose that we want to calculate √640,000. We can proceed as follows: √640,000 = √((64)(104)) = ((64)(104))1/2 = (64)1/2(104)1/2 = (8)(102) = 8(100) = 800 Compute each of the following without a calculator, and then use a calculator to check your answers. √0.000121
Sometimes it is more convenient to express a number as a product of a power of 10 and a number that is not between 1 and 10. For example, suppose that we want to calculate √640,000. We can proceed as follows: √640,000 = √((64)(104)) = ((64)(104))1/2 = (64)1/2(104)1/2 = (8)(102) = 8(100) = 800 Compute each of the following without a calculator, and then use a calculator to check your answers. √0.000121
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 91E
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Sometimes it is more convenient to express a number as a product of a power of 10 and a number that is not between 1 and 10. For example, suppose that we want to calculate √640,000. We can proceed as follows: √640,000 = √((64)(104)) = ((64)(104))1/2 = (64)1/2(104)1/2 = (8)(102) = 8(100) = 800 Compute each of the following without a calculator, and then use a calculator to check your answers. √0.000121
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