Use addition to rewrite the subtraction expression below without changing the digits. Do not solve.
State the rule being tested. Subtraction is defined as adding the opposite:
The instruction to keep the digits unchanged means only signs may move — stays and stays .
Identify a and b in the expression. Here and . The first minus is a sign attached to ; the second minus is the operation; the third is the sign attached to .
Replace the operation and take the opposite of b. The operation becomes addition, and has opposite :
Only the middle two signs changed — this is the 'keep, change, change' pattern: keep the first number, change the operation, change the sign of the second.
Watch what did not change. The leading keeps its own negative sign. A frequent mistake is to flip that one too and write , which is a different number entirely.
Confirm the two forms agree. The task says not to solve, but as a private check: means starting at and removing a debt of , which lands on ; and as well. The rewritten expression is .
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