Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

Skills Handbook - Using Extimation - Exercises - Page 800: 7

7.1

Work Step by Step

In the process of front-end estimation, we first add or subtract all of the first digits of each number. We then round the rest of the digits and then add or subtract them. Finally, we add the two components (the first digits and the other digits) to get the answer. Recall, we round any digit from 5 to 9 up and any digit from 1 to 4 down. Thus, we find the difference of the first digits: $9-2=7$. Now, we find the difference of the other digits, which are estimated: $.6-.5=.1.$ We add the two components to get an answer: $7+.1=7.1$.

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