Complete the Sum — Find the Missing Term Evaluate the missing number “?” if 8888 + 7777 + 666 + ? = 19000.

Difficulty: Easy

Correct Answer: 1669

Explanation:


Introduction / Context:
Missing-term equations are straightforward arithmetic checks. The idea is to sum the known addends and subtract that total from the required sum to determine the unknown. Accuracy in addition and subtraction under time pressure is the key skill tested here.


Given Data / Assumptions:

  • Total required: 19000.
  • Known addends: 8888, 7777, and 666.
  • We must find the fourth addend (?).


Concept / Approach:
Use the identity: total = sum_known + ?. Hence ? = total − sum_known. Compute the partial sum carefully, then subtract from 19000. Double-check with a quick recomposition to avoid single-digit carry/borrow mistakes.


Step-by-Step Solution:
1) Sum known numbers: 8888 + 7777 = 16,665.2) Add 666: 16,665 + 666 = 17,331.3) Compute the missing term: ? = 19,000 − 17,331 = 1,669.4) Verify by recomposition: 8888 + 7777 + 666 + 1669 = 19,000.


Verification / Alternative check:
Break numbers into thousands and units: (8000 + 7000 + 0) + (888 + 777 + 666) = 15,000 + 2,331 = 17,331; then 19,000 − 17,331 = 1,669, confirming the result.


Why Other Options Are Wrong:
2719 and 2679 overshoot the target; “None of these” is incorrect because 1669 is present; 1696 would lead to a total of 19,027.


Common Pitfalls:
Carry/borrow slips during addition; misreading digits (e.g., 7777 as 7177); forgetting to recheck by adding back to the total.


Final Answer:
1669

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