Solve the Expression: Finding the Value of 55-7

Question

Which expression is equivalent to the given equation?

557= 55-7=

Step-by-Step Solution

To solve the problem of finding an equivalent expression for 557 55 - 7 , we will rewrite 7 as a sum of two numbers and then translate that into a two-step subtraction:

  • Step 1: Decompose 7 as a sum of two numbers. For instance, 7 can be written as 5+2 5 + 2 . That means 7=5+2 7 = 5 + 2 .
  • Step 2: Rewrite the original expression 557 55 - 7 using this decomposition: 557=55(5+2). 55 - 7 = 55 - (5 + 2).
  • Step 3: Apply sequential subtraction, which translates to: 5552. 55 - 5 - 2.
  • Step 4: Verify: We perform the subtraction operations: - 555=50 55 - 5 = 50 - 502=48 50 - 2 = 48

The expression 5552 55 - 5 - 2 evaluates to the same result as 557 55 - 7 , which is 48. The solution indicated that this is the correct choice as shown in the answer choices.

Therefore, the equivalent expression to the equation 557 55 - 7 is 5552 55 - 5 - 2 .

Answer

5552 55-5-2