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The following equation is incorrect. Which two signs should be interchanged to correct the equation?
12 + 8 - 25 ÷ 10 x 18 = 14
- a)÷ and -
- b)+ and ÷
- c)- and +
- d)x and -
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The following equation is incorrect. Which two signs should be interc...
Given expression: 12 + 8 - 25 ÷ 10 × 18 = 14
1) ÷ and - → 12 + 8 ÷ 25 - 10 × 18 = - 167.68 ≠ 14
2) + and ÷ → 12 ÷ 8 - 25 + 10 × 18 = 156.5 ≠ 14
3) - and + → 12 - 8 + 25 ÷ 10 × 18 = 49 ≠ 14
4) × and - → 12 + 8 × 25 ÷ 10 - 18 = 14
Hence, “ × and - “ should be interchanged to correct the equation.
Most Upvoted Answer
The following equation is incorrect. Which two signs should be interc...
Given Equation: 12 8 - 25 ÷ 10 x 18 = 14
Explanation:
To solve this problem, we need to apply the correct order of operations (also known as the PEMDAS rule) which states that we should perform operations in the following order:
1. Parentheses
2. Exponents
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)
Following the order of operations, let's solve the equation step by step:
Step 1: Multiplication and Division
First, let's solve the division operation: 25 ÷ 10 = 2.5
Now, we substitute the value of the division into the equation: 12 8 - 2.5 x 18 = 14
Step 2: Multiplication
Next, let's solve the multiplication operation: 2.5 x 18 = 45
Now, we substitute the value of the multiplication into the equation: 12 8 - 45 = 14
Step 3: Addition and Subtraction
Now, let's solve the addition and subtraction operations: 12 + 8 - 45 = -25
The final result is -25, which is not equal to the given answer of 14. Hence, the equation is incorrect.
Correcting the Equation:
To correct the equation, we need to interchange the signs of two operations.
The correct equation would be: 12 + 8 ÷ 25 x 10 - 18 = 14
In this corrected equation, the division sign and the subtraction sign have been interchanged.
When we solve this corrected equation using the order of operations, we get the correct result of 14.
Therefore, the correct answer is option 'D' - interchanging the signs of x and -.
Explanation:
To solve this problem, we need to apply the correct order of operations (also known as the PEMDAS rule) which states that we should perform operations in the following order:
1. Parentheses
2. Exponents
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)
Following the order of operations, let's solve the equation step by step:
Step 1: Multiplication and Division
First, let's solve the division operation: 25 ÷ 10 = 2.5
Now, we substitute the value of the division into the equation: 12 8 - 2.5 x 18 = 14
Step 2: Multiplication
Next, let's solve the multiplication operation: 2.5 x 18 = 45
Now, we substitute the value of the multiplication into the equation: 12 8 - 45 = 14
Step 3: Addition and Subtraction
Now, let's solve the addition and subtraction operations: 12 + 8 - 45 = -25
The final result is -25, which is not equal to the given answer of 14. Hence, the equation is incorrect.
Correcting the Equation:
To correct the equation, we need to interchange the signs of two operations.
The correct equation would be: 12 + 8 ÷ 25 x 10 - 18 = 14
In this corrected equation, the division sign and the subtraction sign have been interchanged.
When we solve this corrected equation using the order of operations, we get the correct result of 14.
Therefore, the correct answer is option 'D' - interchanging the signs of x and -.
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The following equation is incorrect. Which two signs should be interchanged to correct the equation?12 + 8 - 25 ÷ 10 x 18 = 14a)÷ and -b)+ and ÷c)- and +d)x and -Correct answer is option 'D'. Can you explain this answer?
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