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Calculating bounds of an expression

I've been stuck on this question and don't understand how the answer is worked out:
E=mc2c=3.0x108(2s.f.)m=2.4(2s.f.)E = mc^2 c = 3.0 x 10^8 (2 s.f.) m= 2.4 (2 s.f.)
Calculate lower bound of E. Calculate upper bound of E.
The answer is 2.05x1017(3s.f.)(LB)and2.28x1017(3s.f.)(UB)2.05 x 10^17 (3 s.f.) (LB) and 2.28 x 10^17 (3 s.f.) (UB)

Question, for c is the LB & UB worked out for each number (3.0 and 10^8) or do you workout each number individual. e.g. LB is 2.95 & 9.5^8

My answer was incorrect by quite a bit. I would be grateful if someone can show how they get to the answer as i'm lost.
Reply 1
Original post by Chrollo-Lucilfer
I've been stuck on this question and don't understand how the answer is worked out:
E=mc2c=3.0x108(2s.f.)m=2.4(2s.f.)E = mc^2 c = 3.0 x 10^8 (2 s.f.) m= 2.4 (2 s.f.)
Calculate lower bound of E. Calculate upper bound of E.
The answer is 2.05x1017(3s.f.)(LB)and2.28x1017(3s.f.)(UB)2.05 x 10^17 (3 s.f.) (LB) and 2.28 x 10^17 (3 s.f.) (UB)

Question, for c is the LB & UB worked out for each number (3.0 and 10^8) or do you workout each number individual. e.g. LB is 2.95 & 9.5^8

My answer was incorrect by quite a bit. I would be grateful if someone can show how they get to the answer as i'm lost.

I recommend you write out the number in full and then think about what the LB and UB are:

3×108=3000000003\times 10^8 = 300000000

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