Why does 200 kg have 3 significant figures when the scale's least count is 100 kg?

[ysh123]

Homework Statement

Choose the correct statement from the following
(i)No. Of significant figures in 0.0145 m is 3
(ii)when 2.251 is rounded off to one decimal place the answer is 2.3
(iii)when 2.251 is rounded off to one decimal place the answer is 2.2
(iv)the least count of the weighing machine is 100 kg. The measured value of the weight is 2000 kg as per the weighing machine. The No. Of significant figures in this is 1.

Relevant Equations

None

(i) and (ii) makes sense to me but the answer key says (iv) is correct too, but shouldn't the answer be 2 significant figures for (iv). 2 and the first zero are significant if the lc is 100 kg as far as I understand

 

[Philip Koeck]

Homework Statement: Choose the correct statement from the following
(i)No. Of significant figures in 0.0145 m is 3
(ii)when 2.251 is rounded off to one decimal place the answer is 2.3
(iii)when 2.251 is rounded off to one decimal place the answer is 2.2
(iv)the least count of the weighing machine is 100 kg. The measured value of the weight is 2000 kg as per the weighing machine. The No. Of significant figures in this is 1.
Relevant Equations: None

(i) and (ii) makes sense to me but the answer key says (iv) is correct too, but shouldn't the answer be 2 significant figures for (iv). 2 and the first zero are significant if the lc is 100 kg as far as I understand

I would agree with you.

 

[PeroK]

I also agree.

 

[Ibix]

I agree with you too.

We need to get Brian Cox, Sean Carroll and Neil de Grasse Tyson to check this so we can say the question was wrong to three significant figures.