Sure! Let's perform the subtraction and verify it using the inverse operation step-by-step.
1. Perform the subtraction:
[tex]\[
769 - 362
\][/tex]
To find this result, we subtract each digit, starting from the rightmost side (the units place) and move towards the leftmost side (the hundreds place):
- Units place: [tex]\(9 - 2 = 7\)[/tex]
- Tens place: [tex]\(6 - 6 = 0\)[/tex]
- Hundreds place: [tex]\(7 - 3 = 4\)[/tex]
So, the result of the subtraction [tex]\(769 - 362\)[/tex] is:
[tex]\[
407
\][/tex]
2. Verify by using the inverse operation (addition):
[tex]\[
407 + 362
\][/tex]
To verify, we reverse the operation by adding the result to the smaller number to check if we get back the original number.
- Units place: [tex]\(7 + 2 = 9\)[/tex]
- Tens place: [tex]\(0 + 6 = 6\)[/tex]
- Hundreds place: [tex]\(4 + 3 = 7\)[/tex]
So, the result of the addition [tex]\(407 + 362\)[/tex] is:
[tex]\[
769
\][/tex]
Therefore, the subtraction [tex]\(769 - 362 = 407\)[/tex] is verified as correct since adding [tex]\(407 + 362\)[/tex] brings us back to the original number [tex]\(769\)[/tex].
