what is 6+ (4*2)-3/1?
Operator Substitution Explained
This question involves substituting operators based on a given code and then evaluating the resulting mathematical expression.
Operator Mapping
The given substitutions are:
- '+' is replaced by '-'
- '-' is replaced by '*'
- '*' is replaced by '/'
- '/' is replaced by '+'
Original Expression
The original expression is: $6 + (4 * 2) - 3 / 1$
Applying Operator Substitutions
Let's substitute the operators in the original expression according to the rules:
- Replace '+' with '-': $6 - (4 * 2) - 3 / 1$
- Replace '*' with '/': $6 - (4 / 2) - 3 / 1$
- Replace '-' with '*': $6 - (4 / 2) * 3 / 1$
- Replace '/' with '+': $6 - (4 / 2) * 3 + 1$
The new expression after substitution is: $6 - (4 / 2) * 3 + 1$
Evaluating the New Expression
We need to evaluate the expression $6 - (4 / 2) * 3 + 1$ using the standard order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
Step 1: Solve the expression inside the parentheses.
Calculate $(4 / 2)$:
$ \frac{4}{2} = 2 $
The expression becomes: $6 - 2 * 3 + 1$
Step 2: Perform multiplication.
Calculate $2 * 3$:
$ 2 \times 3 = 6 $
The expression becomes: $6 - 6 + 1$
Step 3: Perform subtraction (from left to right).
Calculate $6 - 6$:
$ 6 - 6 = 0 $
The expression becomes: $0 + 1$
Step 4: Perform addition.
Calculate $0 + 1$:
$ 0 + 1 = 1 $
Final Result
The final evaluated value of the expression after operator substitution is 1.
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.)
