Find the absolute and percent relative uncertainty and express each answer with a reasonable number of significant figures:?

Question

9.43(-+0.05)*{[6.2(0.2)*10^-3]+[4.1(-+0.1)*10^-3}

can anyone help?🙏💛

Answer 1

9.43(±0.05){[6.2(0.2)•10^-3] + [4.1(±0.1)•10^-3]}

= (±0.4715){[(1.24)•10^-3] + [(±0.41)•10^-3]}

= {±0.000777975}

Answer 2

9.43(±0.05){[6.2(0.2)•10^-3]+[4.1(±0.1)•10^-3}

first simplify

9.43(±0.05){[1.24/1000]+[4.1(±0.1)/1000}

and assuming you intend:

(9.43±0.05){[1.24/1000]+[(4.1±0.1)/1000}

   (otherwise that is 9.43 multiplied by ±0.05 or ±0.4715 and

     4.1 multiplied by ±0.1 or ±0.41)

take max

9.48(0.00124 + 0.0042) = 0.051

and min

9.38(0.00124 + 0.0040) = 0.049

so I would state the answer as 0.050±0.001

alternative, taking it literally

but this is not a tolerance statement, but rather two different values. Actually 4 if you take +,– and –,+ which I did not do

(±0.4715){[1.24/1000]+[(±0.41)/1000}

+ value is 0.4715•0.00165 = 0.000778

– value is = –0.000391