1. The problem is to simplify the expression $5001 - 6444$. 2. We use the subtraction operation rule: subtract the second number from the first. 3. Perform the subtraction: $$5001 - 6444 = -\cancel{(6444 - 5001)} + 0 = -1443$$ 4. Explanation: Since $6444$ is greater than $5001$, the result is negative. We subtract $5001$ from $6444$ to find the magnitude, which is $1443$, and then apply the negative sign. 5. Final answer: $$-1443$$