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Find out the two signs to be interchanged for making following equation correct
5 + 3 x 8 - 12 / 4 =3
- a)+ and -
- b)- and /
- c)+ and x
- d)+ and /
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Find out the two signs to be interchanged for making following equatio...
On interchanging - and /, we get the equation as
5 + 3 x 8 / 12 - 4 = 3
or 5 + 3 x (2/3) - 4 = 3
or 3 = 3, which is true.
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Find out the two signs to be interchanged for making following equatio...
Understanding the Equation
The original equation is:
5 + 3 x 8 - 12 / 4 = 3
Let's evaluate the left side using the standard order of operations (PEMDAS/BODMAS):
1. Multiplication and Division First:
- 3 x 8 = 24
- 12 / 4 = 3
2. Now Substitute Back:
- 5 + 24 - 3
3. Finally, Perform Addition and Subtraction:
- 5 + 24 = 29
- 29 - 3 = 26
The left side equals 26, not 3.
Identifying the Signs to Interchange
To correct the equation, we need to interchange two signs. The options given are:
- a) + and -
- b) - and /
- c) + and x
- d) - and /
We will evaluate each option to find which one makes the equation true.
Testing Option B: Interchanging - and /
If we interchange the '-' and '/' in the original equation, we get:
5 + 3 x 8 / 12 - 4
Now, evaluate this:
1. Multiplication and Division:
- 3 x 8 = 24
- 24 / 12 = 2
2. Substituting Back:
- 5 + 2 - 4
3. Final Calculation:
- 5 + 2 = 7
- 7 - 4 = 3
Now, the left side equals 3, which matches the right side of the equation.
Conclusion
Thus, by interchanging the signs '-' and '/', we have made the equation correct. Therefore, the correct answer is option 'B'.
The original equation is:
5 + 3 x 8 - 12 / 4 = 3
Let's evaluate the left side using the standard order of operations (PEMDAS/BODMAS):
1. Multiplication and Division First:
- 3 x 8 = 24
- 12 / 4 = 3
2. Now Substitute Back:
- 5 + 24 - 3
3. Finally, Perform Addition and Subtraction:
- 5 + 24 = 29
- 29 - 3 = 26
The left side equals 26, not 3.
Identifying the Signs to Interchange
To correct the equation, we need to interchange two signs. The options given are:
- a) + and -
- b) - and /
- c) + and x
- d) - and /
We will evaluate each option to find which one makes the equation true.
Testing Option B: Interchanging - and /
If we interchange the '-' and '/' in the original equation, we get:
5 + 3 x 8 / 12 - 4
Now, evaluate this:
1. Multiplication and Division:
- 3 x 8 = 24
- 24 / 12 = 2
2. Substituting Back:
- 5 + 2 - 4
3. Final Calculation:
- 5 + 2 = 7
- 7 - 4 = 3
Now, the left side equals 3, which matches the right side of the equation.
Conclusion
Thus, by interchanging the signs '-' and '/', we have made the equation correct. Therefore, the correct answer is option 'B'.
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Find out the two signs to be interchanged for making following equation correct5 + 3 x 8 - 12 / 4 =3a)+ and -b)- and /c)+ and xd)+ and /Correct answer is option 'B'. Can you explain this answer?
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