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QUESTION
Q
Which of the following interchange of signs would make the given equation correct : 10 + 10 ÷ 10 − 10 × 10 =...

Which of the following interchange of signs would make the given equation correct :

10 + 10 ÷ 10 − 10 × 10 = 10

A

+ and −

B

+ and ÷

C

+ and ×

D

÷ and −

E

− and ×

A

+ and −

B

+ and ÷

C

+ and ×

D

÷ and −

E

− and ×

Solution

Given expression : 10 + 10 ÷ 10 − 10 × 10 = 10Applying BODMAS we get 10 + 10 ÷ 10 − 10 × 10= 10 + 1 − 10 × 10= 10 + 1 − 100...

Given expression : 10 + 10 ÷ 10 − 10 × 10 = 10
Applying BODMAS we get
10 + 10 ÷ 10 − 10 × 10
= 10 + 1 − 10 × 10
= 10 + 1 − 100 = 11 − 100 = 89
But we need 10 as the output, hence there is large difference between 89 and 10 we can say that one of the signs that need to be interchanged is ‘×’.
Substitute the options which has ‘×’ .
Interchange of + and × signs satisfies the above expression.

 

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Solution

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Keynote

ORDER OF OPERATIONS (BODMAS): B : BracketsO : OfD : DivisionM : MultiplicationA : AdditionS : Subtraction

ORDER OF OPERATIONS (BODMAS):

B : Brackets
O : Of
D : Division
M : Multiplication
A : Addition
S : Subtraction

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