Carmen has leamed an algorithm for subtraction. She uses it to find 51- 17 as follows. so 51+ 10 = 50 + 11 so - (17 + 10) = - (20 + 7) 51 + 10 = 61 - (17 + 10) = - 27 So her answer is 30 +4 = 34. (a) What properties does Carmen's algorithm use? Is her method correct? (b) Now solve another subtraction problem, 74 – 36, with Carmen's algorithm. Use the traditional algorithm to check your work.

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