If + means -, ÷ means +, - means x , and x means ÷ then,
what is \(35 \div 7 - 5 + 20\)?
Understanding the Operator Substitution
This question involves solving an arithmetic expression where the standard mathematical operators (+, -, ÷, x) have been assigned new meanings. We need to carefully substitute the operators based on the given rules and then calculate the result using the correct order of operations (BODMAS/PEMDAS).
Operator Definitions
- '+' means '-'
- '÷' means '+'
- '-' means 'x'
- 'x' means '÷'
Applying the Substitution
The original expression is: \(35 \div 7 - 5 + 20\)
Let's substitute each operator according to the rules:
- Replace '÷' with '+'
- Replace '-' with 'x'
- Replace '+' with '-'
The expression becomes:
\(35 + 7 \times 5 - 20\)
Calculating the Result (BODMAS/PEMDAS)
We follow the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction) or PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). In this expression, we have addition, multiplication, and subtraction.
- Multiplication first: Calculate \(7 \times 5\). \(7 \times 5 = 35\)
- Substitute the multiplication result back into the expression: \(35 + 35 - 20\)
- Perform Addition: Calculate \(35 + 35\). \(35 + 35 = 70\)
- Substitute the addition result back: \(70 - 20\)
- Perform Subtraction: Calculate \(70 - 20\). \(70 - 20 = 50\)
Therefore, the value of the expression after applying the operator substitutions and following the order of operations is 50.
Similar Questions
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If + means -, $\div$ means +, - means $\times$, and $\times$ means $\div$ then,
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What will come in place of the question mark (?) in the following equation?
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Important Questions from Mathematical Operations
What will come in the place of ‘?’ in the following equation if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged?
18 ÷ 9 + 24 × 3 − 16 = ?If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’, and ‘D’ stands for ‘−’, what will come in place of the question mark (?) in the following equation?
88 B 3 D 12 A 4 C 6 = ?Select the set in which the numbers are related in the same way as are the numbers of the given sets.
(NOTE: Operations should be performed on whole numbers without breaking down the numbers into their constituent digits. E.g., 13 – Operations on 13 such as adding/subtracting/multiplying, etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Given sets:
(9, 21, 193)
(12, 15, 184)What will come in the place of the question mark (?) in the following equation, if ‘÷’ and ‘+’ are interchanged and ‘−’ and ‘×’ are interchanged?
44 ÷ 78 + 6 − 3 × 19 = ?Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given sets?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
