Divyansh says brackets are only added for easier reading and removing them does not change the…
Divyansh says brackets are only added for easier reading and removing them does not change the answer. To test this, he works out both 10 − 4 + 2 and 10 − (4 + 2). Is Divyansh right?
Who do you think is right? Pick one.
The answer: No, brackets change the answer
Why
Divyansh's instinct to actually test his claim with real numbers, rather than just assume it, is exactly the right way to check a rule — that's worth naming even before checking his answer. Work both out: 10 − 4 + 2, with no brackets, is done strictly left to right — 10 − 4 = 6, then 6 + 2 = 8. But 10 − (4 + 2) tells you to work out what's INSIDE the brackets FIRST, treating '4 + 2' as one combined amount before anything else happens: 4 + 2 = 6, then 10 − 6 = 4. Two different answers, 8 and 4, from the exact same digits and symbols, just with one pair of brackets added. Brackets don't decorate an expression, they regroup it — they tell you which part to treat as a single unit before the rest of the calculation proceeds, which can genuinely change what the expression means. Test: think of ₹10 with two separate expenses of ₹4 and ₹2 subtracted one after another, versus ₹10 with a single COMBINED expense of ₹6 (4+2 bundled as one bill) subtracted once — the money left over is different in the two stories, matching the two different answers. No, brackets change the answer: they mark which part must be calculated first, as one unit, and that genuinely changes the result, not just how it looks on the page.
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