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Which two signs should be interchanged to make the given equation correct? 912 - 456 × 28 + 390 ÷ 2 = 444
Question

Which two signs should be interchanged to make the given equation correct?
912 - 456 × 28 + 390 ÷ 2 = 444

A.

÷ and -

B.

÷ and +

C.

- and +

D.

+ and ×

Correct option is A

Given:
Equation: 912 - 456 × 28 + 390 ÷ 2 = 444
Option (a): ÷ and -
912 ÷ 456 × 28 + 390 - 2

Step-by-step (BODMAS):
912 ÷ 456 = 2
2 × 28 = 56
56 + 390 = 446
446 - 2 = 444 (Correct)
Option (b): ÷ and +
912 - 456 × 28 ÷ 390 + 2

Step-by-step (BODMAS):
456 × 28 = 12,768
12,768 ÷ 390 ≈ 32.72
912 - 32.72 = 879.28
879.28 + 2 = 881.28 (Not equal to 444)
Option (c): - and +
912 + 456 × 28 - 390 ÷ 2

Step-by-step (BODMAS):
456 × 28 = 12,768
390 ÷ 2 = 195
912 + 12,768 = 13,680
13,680 - 195 = 13,485 (Not equal to 444)
Option (d): + and ×
912 - 456 + 28 × 390 ÷ 2

Step-by-step (BODMAS):
28 × 390 = 10,920
10,920 ÷ 2 = 5,460
912 - 456 = 456
456 + 5,460 = 5,916 (Not equal to 444)
Final Answer:
Only Option (a) satisfies the given equation after interchanging the signs.
Final Correct Option:
(a) ÷ and -

Alternative method:

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