What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged? 25 ÷ 5 – 918 × 9 + 4 = ?
Solving the Equation with Interchanged Operators
The problem asks us to find the value of the expression after interchanging specific mathematical operators. The original equation is:
25 ÷ 5 – 918 × 9 + 4 = ?
We are given the following rules for interchanging operators:
- The '+' sign is interchanged with the '–' sign.
- The '×' sign is interchanged with the '÷' sign.
Applying Operator Interchanges
Let's apply these interchanges to the original equation. We replace each operator according to the rules:
- '÷' becomes '×'
- '–' becomes '+'
- '×' becomes '÷'
- '+' becomes '–'
So, the equation transforms from 25 ÷ 5 – 918 × 9 + 4 to:
25 × 5 + 918 ÷ 9 – 4 = ?
Evaluating the New Equation
Now, we need to solve the new equation using the standard order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division from left to right, Addition and Subtraction from left to right).
The equation is: 25 × 5 + 918 ÷ 9 – 4
- Multiplication and Division (from left to right):
- First, perform the multiplication:
25 × 5 = 125 - Next, perform the division:
918 ÷ 9 = 102
125 + 102 – 4 - First, perform the multiplication:
- Addition and Subtraction (from left to right):
- Perform the addition:
125 + 102 = 227 - Perform the subtraction:
227 – 4 = 223
- Perform the addition:
Therefore, the value that comes in place of the question mark (?) is 223.
Final Result
After interchanging the operators '+' with '–' and '×' with '÷', the equation becomes 25 × 5 + 918 ÷ 9 – 4, and its value is 223.
Similar Questions
Which two signs should be interchanged to make the given equation correct?
$36+8 \times 184-23\div10 = 90$Which two signs should be interchanged to make the given equation correct?
$152 + 8 \times 16 \div 9 - 4 = 309$
Important Questions from Bodmas Rule
The value of 30 ÷ 6 × 5 of (2 + 3) - 12(3 × 2) is equal to:
solve the following:
523 + 523 × 523 ÷ 523
The value of 96 - 4 of (18 - 13) + 4 × 7 is:
Find the value of 45 - 3 × (4 of 6 + 12 ÷ 3 × 6 - 4 × 5) + 6.
The value of \(\frac{{33}}{{40}} + \frac{1}{5}\left[ {\frac{4}{5} - \frac{1}{5} \times \left( {\frac{7}{8} - \frac{5}{4}} \right)} \right] - \frac{4}{5}\) is:
