Answered: sequence of equations that correspond…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter6: Systems Of Linear Equations And Inequalities

Section6.5: Applying Systems Of Linear Equations

Problem 22PPS

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Question

The sequence of equations below shows a way of using properties of addition to calculating a sum. State
specifically which properties of addition were used, and where.
27 + 89 + 13 = 27 + (89 + 13)
= 27 + (13 + 89)
= (27 + 13) + 89
= 40 + 89
= 129
(2) Write a sequence of equations that correspond to the given description for how to solve the problem.
Problem: 23 + 45
Solution: 23 plus 40 is 63, and then 5 more makes 68
(3) Write a sequence of equations that correspond to the given description for how to solve the problem.
Problem: 800 −297
Solution: 800 −300 = 500, but subtracting 300 subtracts 3 too many, so we must add 3 back, making
503.

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