Question : Directions: In the following question, correct the equation by interchanging two signs.
6 + 8 ÷ 4 – 4 = 8
Option 1: ÷ and =
Option 2: ÷ and +
Option 3: ÷ and –
Option 4: + and –
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Correct Answer: + and –
Solution :
Given:
6 + 8 ÷ 4 – 4 = 8
Let's check the options –
First option:
÷ and =
6 + 8 = 4 – 4 ÷ 8
LHS→6 + 8 = 14
RHS→4 – 4 ÷ 8
= 4 – 0.5
= 3.5
LHS ≠ RHS
Second option:
÷ and +
6 ÷ 8 + 4 – 4 = 8
LHS→6 ÷ 8 + 4 – 4
= 0.75 + 4 – 4
= 0.75
RHS→8
LHS ≠ RHS
Third option:
÷ and –
6 + 8 – 4 ÷ 4 = 8
LHS→6 + 8 – 4 ÷ 4
= 6 + 8 – 1
= 14 – 1
= 13
RHS→8
LHS ≠ RHS
Fourth option:
+ and –
6 – 8 ÷ 4 + 4 = 8
LHS→6 – 8 ÷ 4 + 4
= 6 – 2 + 4
= 10 – 2
= 8
RHS→8
LHS = RHS
Only the fourth option satisfies the equation. Hence, the fourth option is correct.
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