Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Section 1.5 - Addition of Real Numbers - Exercise Set - Page 64: 80

Answer

a) $\$161$ billion b) $\$1,413$ billion c) $\$1,574$ billion

Work Step by Step

a) Since the numbers in the given expression, $ 2568+(-2729) ,$ are different, subtract the numbers and copy the sign of the number with the greater absolute value. That is, \begin{array}{l}\require{cancel} 2568+(-2729) \\= -(161) \\= -161 .\end{array} Hence, the deficit is $ \$161$ billion. b) The conditions of the problem translates to the expression \begin{array}{l}\require{cancel} 2105+(-3518) .\end{array} Since the numbers in the expression above are different, subtract the numbers and copy the sign of the number with the greater absolute value. That is, \begin{array}{l}\require{cancel} 2105+(-3518) \\= -(1413) \\= -1413 .\end{array} Hence, the deficit is $ \$1,413$ billion. c) Adding the deficits in parts (a) and (b) results to the expression, $ -161+(-1413) .$ Since the numbers in the expression above have the same sign, then add the numbers and copy their common. That is, \begin{array}{l}\require{cancel} -161+(-1413) \\= -(1574) \\= -1574 .\end{array} Hence, the combined deficit is $ \$1,574$ billion.
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