Answer
Option A is correct.
(11.4 × 9) = (11 × 9) + (0.4 × 9) = 102.6
Explanation
The best way to explain this is to examine the options one at a time to examine the one that is the most correct.
We want to know which of the options is equal to (11.4 × 9).
11.4 × 9 = 102.6
The options are
A. (11 × 9) + (0.4 × 9)
11 × 9 = 99
0.4 × 9 = 3.6
(11 × 9) + (0.4 × 9) = 99 + 3.6 = 102.6
B. (11 + 9) + (0.4 + 9)
11 + 9 = 20
0.4 + 9 = 9.4
(11 + 9) + (0.4 + 9) = 20 + 9.4 = 29.4
C. (11 × 9) × (0.4 × 9)
11 × 9 = 99
0.4 × 9 = 3.6
(11 × 9) × (0.4 × 9) = 99 × 3.6 = 356.4
D. (11 + 9) × (0.4 + 9)
11 + 9 = 20
0.4 + 9 = 3.6
(11 + 9) × (0.4 + 9) = 20 × 3.6 = 72
Since only option A gives the same answer as the expression in the question, option A is the only correct option.
Hope this Helps!!!