103. Place the description of the strategy used to simplify the problem below the problem.
Answer: A: Decomposing addends into tens and ones, B: Composing addends into tens and ones, C: Taking away tens, then taking away ones, D: Taking away an extra ten, then adding back ones
73 + 55 = 120 + 8 = 128
This option illustrates the strategy of decomposing the addends into tens and ones, which simplifies the addition process by making the numbers easier to work with.
A) 73 + 55 = 120 + 8 = 128
This choice accurately describes the process of decomposing the numbers into tens and ones. By breaking down 73 into 70 and 3 and 55 into 50 and 5, the addition becomes clearer and allows for simpler calculations that ultimately lead to 128.
B) 7 + 9 + 8 + 5 + 2 + 1 + 3 = 30 + 5 = 35
While this option shows the addition of smaller numbers, it does not explicitly reflect the strategy of simplifying the original problem using tens and ones. Instead, it adds all components directly, which does not align with the question's request for a specific strategy.
C) 74 - 36 = 44 - 6 = 40 - 2 = 38
This choice describes a subtraction strategy rather than addressing the original addition problem. Although it demonstrates a method of taking away, it does not conform to the problem's requirement for simplification through addition.
D) 74 - 46 = 24 + 4 = 28
Similar to Option C, this option focuses on subtraction rather than addition. Although it correctly breaks down the problem, it does not apply to the context of simplifying the addition of 73 and 55.
Conclusion
Option A is the definitive correct answer, as it employs the appropriate strategy of decomposing numbers into tens and ones to simplify the addition process. All other options either misinterpret the question by focusing on subtraction or fail to demonstrate the specific method of simplification required for the addition problem presented.