What will come in place of the question mark (?) in the following equation if '+' and 'x' are interchanged and '-' and '$\div$' are interchanged?
$16-4+7 \times 8\div1=?$
Solving Equation After Operator Interchange
This problem involves solving a mathematical equation where the standard operators are swapped according to specific rules. We need to find the value that replaces the question mark after these interchanges and applying the correct order of operations.
Understanding the Operator Interchange
The problem states the following interchanges:
- '+' is interchanged with 'x'
- '-' is interchanged with '÷'
The original equation given is:
$16 - 4 + 7 \times 8 \div 1 = ? $
Applying the Operator Swaps
Let's substitute the operators in the original equation based on the given rules:
- The '-' sign becomes '÷'.
- The '+' sign becomes 'x'.
- The 'x' sign becomes '+'.
- The '÷' sign becomes '-'.
So, the equation transforms from $16 - 4 + 7 \times 8 \div 1$ to:
$16 \div 4 \times 7 + 8 - 1 = ? $
Step-by-Step Calculation Using BODMAS Rule
Now, we solve the new equation $16 \div 4 \times 7 + 8 - 1$ using the standard order of operations (BODMAS/PEMDAS):
- Division: First, perform the division from left to right.
$$16 \div 4 = 4$$
The equation now becomes:
$4 \times 7 + 8 - 1$. - Multiplication: Next, perform the multiplication from left to right.
$$4 \times 7 = 28$$
The equation now becomes:
$28 + 8 - 1$. - Addition: Then, perform the addition from left to right.
$$28 + 8 = 36$$
The equation now becomes:
$36 - 1$. - Subtraction: Finally, perform the subtraction. $$36 - 1 = 35$$
Final Result
After interchanging the operators and following the order of operations (BODMAS), the value of the expression is 35.
Similar Questions
- Which two signs should be interchanged to make the given equation correct? $67 - 84 \div 12 \times 5 + 31 = 71$
What will come in place of the question mark (?) in the following equation if '+' means 'x', 'x' means '-', '-' means '$\div$' and '$\div$' means '+'?
$18 \div 4 + 3 \times 2 - 2 = ?$Which two numbers (not individual digits) should be interchanged to make the given equation correct?
$56+ (11 \times 2) - (52 \div 4) + 16 = 76$What will come in the place of '?' in the following equation, if '+' and '-' are interchanged and also 'x' and '$\div$' are interchanged?
$13 \div 8-96 \times 6+17=?$Which two numbers (not digits of the numbers), from amongst the given options, should be interchanged to make the given equation correct?
$12 \times 9 + 27 \div 3 - 5 = 60$
- Which two signs should be interchanged to make the given equation correct?
$99 \div 33 - 6 + 48 \times 26 = 40$ 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?
36 B 17 D 59 C 224 A 7 = ?What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged?
16 ÷ 6 + 12 × 3 – 6 = ?Which two signs should be interchanged to make the given equation correct?
$152 + 8 \times 16 \div 9 - 4 = 309$
What will come in the place of the question mark (?) in the following equation, if '+' and '-' are interchanged and 'x' and '÷' are interchanged?
(28 ÷ 4) - (15 x 3) + 48 = ?
Important Questions from Bodmas Rule
If 2945 ÷ 19 – 11 × 5 = 29 + a, find the value of a.
DIRECTIONS: What should come in place of the question mark (?) in the following question?
3800 - 22 × 1968 ÷ 48 = ? × 7
Solve: {7.88 × 2 + 2.4 × 5 - 242.4 ÷ 4 + [9.2 × 4 - 2.46 of 3 + (36.3 ÷ 3 - 1.42 × 2)]}
What will come in the place of question mark (?) in the given expression?
(420 ÷ 12 × 35 + 452- 152) = ?2
Evaluate: (13 × 8 - √81 × 6 + 1 ) ÷ (√49 + 72 - 18 × 2 + 19)
