Given equation → 18 + 12 ÷ 9 - 30 × 16 = 10
Now, checking options one by one :-
-
After interchanging the signs in the given equation, we get:-
18 × 12 ÷ 9 - 30 + 16 = 10
Now, after applying BODMAS Rule, we get:-
18 × 12 ÷ 9 - 30 + 16 = 10
18 × 1.33 - 30 + 16 = 10
23.94 - 30 + 16 = 10 (23.94 ~ 24)
24 + 16 - 30 = 10
40 - 30 = 10
10 = 10
Left hand side is equal to right hand side.
2) + and ÷
After interchanging the signs in the given equation, we get:-
18 ÷ 12 + 9 - 30 × 16 = 10
Now, after applying BODMAS Rule, we get:-
18 ÷ 12 + 9 - 30 × 16 = 10
1.5 + 9 - 30 × 16 = 10 (1.5 ~ 2)
2 + 9 - 480 = 10
11 - 480 = 10
-469 ≠ 10
Left hand side is not equal to right hand side.
3) - and +
After interchanging the signs in the given equation, we get:-
18 - 12 ÷ 9 + 30 × 16 = 10
Now, after applying BODMAS Rule, we get:-
18 - 12 ÷ 9 + 30 × 16 = 10
18 - 1.33 + 30 × 16 = 10 (1.33 ~ 1)
18 - 1 + 480 = 10
18 + 480 - 1 = 10
498 - 1 = 10
497 ≠ 10
Left hand side is not equal to right hand side.
4) ÷ and ×
After interchanging the signs in the given equation, we get:-
18 + 12 × 9 - 30 ÷ 16 = 10
Now, after applying BODMAS Rule, we get:-
18 + 12 × 9 - 30 ÷ 16 = 10
18 + 12 × 9 - 1.875 = 10 (1.875 ~ 2)
18 + 108 - 2 = 10
126 - 2 = 10
124 ≠ 10
left hand side is not equal to right hand side.
Hence, the correct answer is "+ and ×".