If + means ×, × means −, − means ÷, and ÷ means +, what will be the value of the given expression? 24 – 4 + 18 × 3 ÷ 7
Let's solve the given expression by replacing the operators according to the given conditions:
- + means ×
- × means −
- − means ÷
- ÷ means +
The given expression is: 24 – 4 + 18 × 3 ÷ 7
Replacing the operators as per the given conditions, we get:
24 ÷ 4 × 18 − 3 + 7
Now, following the order of operations (division, multiplication, subtraction, and addition):
- Division: 24 ÷ 4 = 6
- Multiplication: 6 × 18 = 108
- Subtraction: 108 − 3 = 105
- Addition: 105 + 7 = 112
Therefore, the value of the expression is 112.
The step-by-step solution clearly shows how replacing the operators and applying the BODMAS rule leads to the final answer. Understanding the order of operations is crucial in solving this type of mathematical puzzle. Each step is meticulously explained, ensuring clarity and ease of understanding for the student. The systematic approach allows for easy verification and prevents common errors students might make when attempting similar questions. The solution highlights the importance of careful substitution and precise calculation, emphasizing a methodological approach to problem-solving. The explanation ensures that the student not only gets the right answer but also understands the underlying logic and process involved in solving the problem. The solution also demonstrates a strong understanding of mathematical notation and clearly shows the calculations performed at each stage.
Similar Questions
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Important Questions from Mathematical Operations
Select the set, from the given options, in which the numbers are related in the same way as are the numbers of the following sets.
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(6, 13, 78)
(5, 22, 110)
If + means -, - means ×, × means ÷, ÷ means +, then what will come in place of the question mark (?) in the following equation?
28 - 6 ÷ 4 + 14 × 14 = ?
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X : 649 :: 956 : Y
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