(18 + 10 × 20) - 8 ÷ 6 = ?
Understanding the Equation Symbol Substitution
The problem asks us to evaluate a given equation, (18 + 10 × 20) - 8 ÷ 6 = ?, after applying a specific set of rules for symbol substitution. We need to find the value that replaces the question mark.
Symbol Substitution Rules
The rules provided are:
- '+' represents '×' (multiplication)
- '-' represents '÷' (division)
- '×' represents '+' (addition)
- '÷' represents '-' (subtraction)
Applying the Substitution
Let's rewrite the original equation using the given substitution rules:
Original equation: (18 + 10 × 20) - 8 ÷ 6
Applying the rules:
- Replace '+' with '×':
(18 × 10 ... ) - Replace '×' with '+':
(... 10 + 20) - Replace '-' with '÷':
(...) ÷ 8 ... - Replace '÷' with '-':
... 8 - 6
The equation transforms into: (18 × 10 + 20) ÷ 8 - 6
Step-by-Step Calculation
Now, we solve the transformed equation following 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).
- Solve the expression inside the parentheses:
(18 × 10 + 20)- First, perform the multiplication:
18 × 10 = 180 - Then, perform the addition:
180 + 20 = 200
200. - First, perform the multiplication:
- Substitute the result back into the equation: The equation now becomes
200 ÷ 8 - 6. - Perform the division:
200 ÷ 8 = 25 - Perform the subtraction:
25 - 6 = 19
Therefore, the value that comes in place of the question mark is 19.
Final Answer
The calculation shows that (18 × 10 + 20) ÷ 8 - 6 = 19.
Similar Questions
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?
[(48 - 2) ÷ 23] × 19 + 3 = ?
Which two numbers (not individual digits) should be interchanged to make the given equation correct?
$21 \times 5 - 35 + (42 \div 7) + 28 = 96$Which two signs need to be interchanged to make the following equation correct?
$56 \div 28 - 72 + 18 \times 6 = 60$
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)
