You must follow these symbol substitution rules:
'+' means '-'
'-' means 'x'
'x' means '÷'
'÷' means '+'
$120 \div 6 \times 3 - 10 + 4 = ?$
Solving Math Expression with Symbol Substitution
This guide demonstrates how to solve the mathematical expression $120 \div 6 \times 3 - 10 + 4$ by applying the provided symbol substitution rules and the standard order of operations (BODMAS/PEMDAS).
Operator Substitution Rules
The problem defines the following substitutions for the operators:
- '+' means '-'
- '-' means 'x'
- 'x' means '÷'
- '÷' means '+'
Transforming the Expression
First, apply these rules to the original expression:
Original: $120 \div 6 \times 3 - 10 + 4$
Substitute each operator:
- $120 \\div 6$ becomes $120 \+ 6$
- $6 \\times 3$ becomes $6 \\div 3$
- $3 \- 10$ becomes $3 \\times 10$
- $10 \+ 4$ becomes $10 \- 4$
The transformed expression is:
$120 + 6 \div 3 \times 10 - 4$
Evaluating the Transformed Expression
Use the BODMAS/PEMDAS order of operations (Brackets/Parentheses, Orders/Exponents, Division and Multiplication from left to right, Addition and Subtraction from left to right) to evaluate the new expression:
- Division: Calculate $6 \div 3$. $6 \div 3 = 2$ The expression becomes: $120 + 2 \times 10 - 4$
- Multiplication: Calculate $2 \times 10$. $2 \times 10 = 20$ The expression becomes: $120 + 20 - 4$
- Addition: Calculate $120 + 20$. $120 + 20 = 140$ The expression becomes: $140 - 4$
- Subtraction: Calculate $140 - 4$. $140 - 4 = 136$
Conclusion
The final result of the calculation, after applying the symbol substitutions and following the order of operations, is 136.
Similar Questions
- Which two signs should be interchanged to make the following equation CORRECT?
$[(15 \div 3) - (4 \times 2)] + [4 - 6] = 5 \times 10$ - If "+" means "$\div$", "-" means "+", "$\times$" means "-" and "$\div$" means "$\times$", which of the following options is CORRECT?
- If 5 @ 2 = 17 and 6 @ 3 = 27, what is 7 @ 4?
- If 9 @ 1 = 82 and 6 @ 2 = 38, what is the value of 7 @ 3?
- If $\times$ stands for addition, $\div$ stands for subtraction, + stands for multiplication, and - stands for division, then $12 \times 6 \div 3 - 2 + 5 = ?$
- Which two signs need to be interchanged?
$22 - 4 \times 2 \div 2 + 6 = 20$ - Which interchanges of numbers and signs will make the equation correct? $8 \times 3 + 4 = 28$
- Select the CORRECT sequence of mathematical signs to sequentially replace the A and B to balance the given equation.
15 A 5 B 4 = 35 - The following equation is incorrect. Which two signs should be interchanged to correct the equation?
$14 - 7 \times 30 \div 10 + 4 = 54$ By interchanging the given two signs which of the following equation will NOT be correct?
$+$ and $\div$
I. $27 \div 3 - 18 \times 3 + 9 = 24$
II. $12 \div 8 \times 12 + 16 - 7 = 19$
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.)
