In a mathematical exercise, students are tasked with matching the appropriate strategy to simplify a set of given problems. The problems provided are: 73 + 55 = 120 + 8 = 128, 74 - 36 = 7 + 9 + 8 + 5 + 2 + 1 + 3 = 30 + 5 = 35, 44 - 6 = 40 - 2 = 38, and 24 + 4 = 28. The available strategies to choose from include taking away an extra ten then adding back ones, composing addends into tens and ones, taking away tens then taking away ones, and decomposing addends into tens and ones. The goal is to correctly assign a strategy to each problem based on the steps shown. Place the description of the strategy used to simplify the problem below the problem.
Decomposing addends into tens and ones.
This strategy effectively breaks down numbers into their component parts, making it easier to perform addition and subtraction by simplifying the calculations involved.
This approach is useful for simplifying certain calculations, particularly when dealing with numbers that are close to a base ten. However, it does not apply universally to the problems presented, as the majority involve straightforward decomposition rather than manipulating the numbers by removing an extra ten.
While composing addends into tens and ones is a valid strategy, it focuses more on combining numbers rather than breaking them down. The problems at hand require a decomposition approach to simplify the calculations effectively, making this strategy less relevant.
This strategy is generally more suited to specific subtraction problems where simplifying the numbers is needed. However, it does not align with the problems listed, which are better addressed by decomposing the numbers into tens and ones to facilitate addition and subtraction.
This strategy accurately reflects the method used in the provided problems, as it allows for breaking down the numbers into manageable parts for easier calculation. This is particularly evident in the addition and subtraction operations present in the exercise.
The effective strategy for simplifying the given mathematical problems involves decomposing the addends into tens and ones, which promotes clearer and more efficient calculations. By utilizing this method, students can approach each problem systematically, ensuring accurate results while reinforcing their understanding of number structure and operations.
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