Question

6. If x = 10. 0 ± 0. 1 and y = 10. 0 ± 0. 1, then 2x - 2y is equal to

(1) (0. 0 ± 0. 1)
(2) Zero
(3) (0. 0 ± 0. 4)
(4) (20 ± 0. 2)​

Answer 1

To find the value of 2x - 2y, we substitute the given values of x and y into the expression.

x = 10.0 ± 0.1

y = 10.0 ± 0.1

Substituting these values into 2x - 2y:

2x - 2y = 2(10.0 ± 0.1) - 2(10.0 ± 0.1)

= 20.0 ± 0.2 - 20.0 ± 0.2

= 20.0 - 0.2 ± 0.2 - 20.0 - 0.2 ± 0.2

= 0.0 ± 0.2

Therefore, 2x - 2y is equal to (0.0 ± 0.2), which corresponds to option (1) (0.0 ± 0.1).