To determine if there is an error of addition by one in any of the following equations, we will examine the differences between the given sums and the expected results.
Let's break it down step-by-step:
1. For equation A:
- Given: [tex]\( 7363 + 1535 = 8798 \)[/tex]
- Calculate the actual sum: [tex]\( 7363 + 1535 = 8898 \)[/tex]
- Difference: [tex]\( |8898 - 8798| = 100 \)[/tex]
2. For equation B:
- Given: [tex]\( 5167 + 4622 = 9789 \)[/tex]
- Calculate the actual sum: [tex]\( 5167 + 4622 = 9789 \)[/tex]
- Difference: [tex]\( |9789 - 9789| = 0 \)[/tex]
3. For equation C:
- Given: [tex]\( 3415 + 2174 = 5589 \)[/tex]
- Calculate the actual sum: [tex]\( 3415 + 2174 = 5589 \)[/tex]
- Difference: [tex]\( |5589 - 5589| = 0 \)[/tex]
4. For equation D:
- Given: [tex]\( 2683 + 6215 = 8898 \)[/tex]
- Calculate the actual sum: [tex]\( 2683 + 6215 = 8898 \)[/tex]
- Difference: [tex]\( |8898 - 8898| = 0 \)[/tex]
From this analysis, we can see that:
- Equation A has a difference of [tex]\(100\)[/tex], but not an off-by-one error.
- Equations B, C, and D have differences of [tex]\(0\)[/tex], meaning the sums are correct.
Therefore, there is no example of an error of addition by one. However, note that:
- The difference for equation A is substantial ([tex]\(100\)[/tex]), indicating an error but not specifically an addition by one error. The original sum provided appears incorrect due to a more significant error, rather than merely being off by one.
