Carmen has leaned an algorithm tor subtraction. She uses it to find 54 – 18 as tollows. so 54 + 10 = 50 + 14 so - (18 + 10) = - (20 + 8) 54 + 10 = 64 - (18 + 10) = - 28 So her answer is 30 + 6 = 36. (a) What properties does Carmen's algorithm use? Is her method correct? b) Now solve another subtraction problem, 73– 36, with Carmen's algorithm. Use the traditional algorithm to check yvour work. O B. Oc. 73- 36 = (70 + 13) - (40 + 6) O A. 73-36 = (70+ 13) – (40 + 6) = (40 - 70) + (6 – 13) 73- 36 = (70 + 13) - (40 + 6) = (70 - 40) + (13–- 6) = (70 + 40) - (13+ 6)

Carmen has leaned an algorithm tor subtraction. She uses it to find 54 – 18 as tollows. so 54 + 10 = 50 + 14 so - (18 + 10) = - (20 + 8) 54 + 10 = 64 - (18 + 10) = - 28 So her answer is 30 + 6 = 36. (a) What properties does Carmen's algorithm use? Is her method correct? b) Now solve another subtraction problem, 73– 36, with Carmen's algorithm. Use the traditional algorithm to check yvour work. O B. Oc. 73- 36 = (70 + 13) - (40 + 6) O A. 73-36 = (70+ 13) – (40 + 6) = (40 - 70) + (6 – 13) 73- 36 = (70 + 13) - (40 + 6) = (70 - 40) + (13–- 6) = (70 + 40) - (13+ 6)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 56E

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Question

Carmen has leaned an algorithm for subtraction. She uses it to find 54 - 18 as tollows.
so 54 + 10 = 50 + 14
- (18 + 10) = - (20 + 8)
54 + 10 = 64
- (18 + 10) = - 28
so
So her answer is 30 +6 = 36.
(a) What properties does Carmen's algorithm use? Is her method correct?
(b) Now solve another subtraction problem, 73- 36, with Carmen's algorithm. Use the traditional algorithm to check your work.
O B.
Oc.
73- 36 = (70 + 13) - (40 + 6)
= (40 - 70) + (6 – 13)
73- 36 = (70 + 13) - (40 + 6)
= (70 - 40) + (13 - 6)
73- 36 = (70 + 13) - (40 + 6)
= (70 + 40) - (13+ 6)

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