Solving 18 − 6 − 2, Faisal first works out 6−2=4, then does 18−4=14
Solving 18 − 6 − 2, Faisal first works out 6−2=4, then does 18−4=14. His friend says this method is wrong. Who is right?
Who do you think is right? Pick one.
The answer: His friend is right, the answer is 10
Why
Faisal is grouping the last two numbers together the way you might group numbers in an addition sum, where it genuinely doesn't matter which pair you add first — 2+3+4 gives the same answer whichever two you combine first. Subtraction doesn't share that freedom: 18 − 6 − 2 is a chain that must be worked strictly left to right, taking away 6 first, THEN taking away 2 from what's left, not grouping the last two numbers as if they form their own separate step. Done correctly: 18 − 6 = 12, then 12 − 2 = 10. Faisal's method computed 6 − 2 = 4 first and then did 18 − 4 = 14, silently changing what's being subtracted from what. Test: imagine ₹18 in your pocket, spending ₹6 on one thing and then ₹2 on another — you'd naturally track it step by step, ₹18 down to ₹12 down to ₹10, not compute the difference between the two purchases first. His friend is right, the answer is 10: a chain of subtractions (or of subtraction and addition) is worked left to right, because unlike addition, regrouping which pair you calculate first changes the answer.
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