Question

If a = 5.0 +-0.2 and b= 12.0 +-0.1, then b - 2a is equal to

Answer 1

Explanation:

Given:

$a = 5.0 \pm0.2$ and $b = 12.0 \pm0.1$

To find: $b -2 a$

Solution:

Step 1: Multiply a with 2

$2a = 2(5.0 \pm0.2)$

$\bf 2a = 10.0 \pm0.4$

Step 2: Subtract 2a from b.

$b - 2a = 12.0 \pm0.1 - (10.0 \pm0.4)$

or

$b - 2a = 12.0-10.0 \pm(0.1 +0.4)$

$b - 2a = 2.0 \pm0.5$

Final answer:

$\bf b - 2a = 2.0 \pm0.5$

Option c of is correct.

Hope it will help you.

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Answer 2

Given : a = 5.0 ± 0.2

b = 12.0 ±   0.1

To Find :  b -  2a

Solution:

a = 5.0 ± 0.2

=> 2a = 2 (5.0 ± 0.2)

=> 2a = 10.0   ± 0.4

b = 12.0 ±   0.1

b - 2a  = 12.0 ±   0.1  - ( 10.0   ± 0.4)

= 12.0 - 10.0  ±   (0.1  + 0.4)    

( Note : Tolerances/Errors are always Added up )

=  2.0  ±  0.5

b -  2a =  2.0  ±  0.5

correct answer is 2.0  ± 0.5

Additional Info :

even if operation was  b + 2a  still error would have been 0.5

b + 2a  = 22.0  ±  0.5

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