(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 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:
