Find the Sum: Solving the Expression 28+45

Question

Which expression is equivalent to the given equation?

28+45= 28+45=

Step-by-Step Solution

To determine an expression equivalent to 28+45 28 + 45 , let us consider adjusting the components to make calculations easier while maintaining equivalence.

(1) Start with the original problem: 28+45 28 + 45 .

(2) To simplify, notice that we want to make a decomposition that doesn't change the sum. Increase 28 by 2, making it 30, which is easier to work with. However, you have to subtract 2 to balance the increase. So, the expression becomes:

30+452 30 + 45 - 2

(3) Compute within this adjusted equation:

  • 30+45=75 30 + 45 = 75
  • 752=73 75 - 2 = 73

(4) Checking the original unaltered computation:

  • 28+45=73 28 + 45 = 73

Both computations yield 73 73 , verifying their equivalence.

Thus, the alternative expression for 28+45 28 + 45 that maintains equivalence is 30+452 30+45-2 , which corresponds to choice 4.

Answer

30+452 30+45-2