Question

Which of the following explains how to simplify the expression 41+28 using decomposition?

a) Forty-one plus twenty-eight
b) Decomposition cannot be used here
c) Forty and thirty is seventy, subtract one
d) Forty and twenty-eight is sixty-eight, plus one

Answer 1

The correct explanation for simplifying the expression 41+28 using decomposition is option d) Forty and twenty-eight is sixty-eight, plus one.

Step-by-step explanation:

Decomposition is a mathematical strategy that involves breaking down numbers into simpler components to make calculations more manageable. In this case, we can decompose the numbers 41 and 28 to simplify the addition.

The expression 41+28 can be decomposed into 40+1 and 28. Now, combining 40 from the first number with 28 gives us 68. The remaining 1 from the decomposition is then added to 68, resulting in the final answer of 69. Therefore, option d) "Forty and twenty-eight is sixty-eight, plus one" is the correct explanation for simplifying the given expression.

In summary, the decomposition method is applied by separating the numbers into easier-to-handle parts, performing the necessary calculations, and then combining the results. In this specific case, breaking down 41+28 into 40+1 and 28 facilitates the addition process, ultimately leading to the correct answer of 69.

Answer 2

The expression 41+28 can be simplified using decomposition by separating and then adding the tens and ones individually. The correct answer after simplification is 69, not 68 as option (d) suggests. THe correct answer is d) Forty and twenty-eight is sixty-eight, plus one.

Step-by-step explanation:

The question pertains to simplifying the expression 41+28 using decomposition.

Decomposition in arithmetic involves breaking down numbers into their component parts to simplify an operation.

For the expression 41+28, decomposition can be illustrated by breaking the numbers down into tens and ones.

The correct way to simplify the expression by using decomposition is:

1. Separate the tens and the ones of both numbers: (40+1) + (20+8).
2. Add the tens: 40 + 20 = 60.
3. Add the ones: 1 + 8 = 9.
4. Combine the sum of tens and ones: 60 + 9 = 69.

Therefore, the simplified answer after decomposition is 69.

The answer (d) Forty and twenty-eight is sixty-eight, plus one is incorrect because it suggests adding the tens (40 and 20) to get 68, which is not correct.

The correct sum of the tens is 60, not 68.

Therefore, the correct answer is d) Forty and twenty-eight is sixty-eight, plus one.