What will come in the place of the question mark '?' in the following question? 45 × 240 ÷ 24 - 19 = ?
431
This problem requires solving a mathematical expression involving multiplication, division, and subtraction. To find the correct answer, we need to follow the standard order of operations, often remembered by the acronym BODMAS/PEMDAS.
Solving the Arithmetic Expression
The expression given is:
45 × 240 ÷ 24 - 19 = ?
According to the BODMAS/PEMDAS rule, we perform operations in the following order:
- Brackets/Parentheses
- Orders/Exponents
- Division and Multiplication (from left to right)
- Addition and Subtraction (from left to right)
Step 1: Multiplication
First, we perform the multiplication operation:
$45 \times 240$
Calculation:
$45 \times 240 = 10800$
So the expression becomes:
10800 ÷ 24 - 19 = ?
Step 2: Division
Next, we perform the division operation:
$10800 \div 24$
Calculation:
$10800 \div 24 = 450$
The expression is now simplified to:
450 - 19 = ?
Step 3: Subtraction
Finally, we perform the subtraction operation:
$450 - 19$
Calculation:
$450 - 19 = 431$
Final Result
Therefore, the value that comes in place of the question mark is 431.
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