College

Roberto delivers 252 newspapers each morning. This morning, he has already delivered 197. He subtracts to find that he has 55 left to deliver today.

[tex]\[
\begin{array}{r}
252 \\
-197 \\
\hline
55
\end{array}
\][/tex]

Which equations can he use to verify his calculation? Check all that apply.

- [tex]197 + 55 = 252[/tex]
- [tex]197 - 55 = 142[/tex]
- [tex]252 - 55 = 197[/tex]
- [tex]252 + 197 = 449[/tex]
- [tex]55 + 55 = 110[/tex]

Answer :

Certainly! Let's verify the calculations step-by-step and see which equations Roberto can use to check his subtraction:

Roberto originally planned to deliver a total of 252 newspapers today. He has already delivered 197 newspapers and believes he has 55 left to deliver.

To verify this, let's explore each of the equations provided:

1. Equation: [tex]\(197 + 55 = 252\)[/tex]
- This equation checks whether the newspapers already delivered plus the newspapers left to deliver equals the total number.
- [tex]\(197 + 55 = 252\)[/tex] is true. So Roberto can use this equation to verify his calculation.

2. Equation: [tex]\(197 - 55 = 142\)[/tex]
- This equation checks whether subtracting the newspapers left from the newspapers already delivered equals 142.
- [tex]\(197 - 55 = 142\)[/tex] is false. Therefore, this equation does not verify Roberto's calculation.

3. Equation: [tex]\(252 - 55 = 197\)[/tex]
- This equation checks whether subtracting the newspapers left from the total newspapers equals the number already delivered.
- [tex]\(252 - 55 = 197\)[/tex] is true. So Roberto can use this equation to verify his calculation.

4. Equation: [tex]\(252 + 197 = 449\)[/tex]
- This equation checks whether the total newspapers plus the newspapers already delivered equals 449.
- [tex]\(252 + 197 = 449\)[/tex] is false. Therefore, this equation does not verify Roberto's calculation.

5. Equation: [tex]\(55 + 55 = 110\)[/tex]
- This equation duplicates the newspapers left and adds them, expecting the result to be 110.
- [tex]\(55 + 55 = 110\)[/tex] is false. Therefore, this equation does not verify Roberto's calculation.

To summarize, Roberto can use the following equations to verify his calculation:

- [tex]\(197 + 55 = 252\)[/tex]
- [tex]\(252 - 55 = 197\)[/tex]

Both of these equations help confirm that Roberto's subtraction and his remaining deliveries are accurate.