Solving the Equation Using BODMAS Rule

We are asked to find the value that should replace the question mark (?) in the given equation: $3800 - 22 \times 1968 \div 48 = ? \times 7$.

To solve this equation, we must follow the order of operations, often remembered by the acronym BODMAS or PEMDAS.

• Brackets (or Parentheses)
• Orders (or Exponents)
• Division and Multiplication (from left to right)
• Addition and Subtraction (from left to right)

Let's break down the left side of the equation step by step.

Step 1: Perform Division

First, we perform the division operation: $1968 \div 48$.

$\frac{1968}{48} = 41$

So the equation becomes: $3800 - 22 \times 41 = ? \times 7$.

Step 2: Perform Multiplication

Next, we perform the multiplication operation: $22 \times 41$.

$22 \times 41 = 902$

So the equation now is: $3800 - 902 = ? \times 7$.

Step 3: Perform Subtraction

Now, we perform the subtraction operation: $3800 - 902$.

$3800 - 902 = 2898$

The equation is now simplified to: $2898 = ? \times 7$.

Step 4: Solve for the Question Mark (?)

Finally, to find the value of ?, we need to isolate it by dividing both sides of the equation by 7.

$? = \frac{2898}{7}$

Let's perform the division:

$\frac{2898}{7} = 414$

So, $? = 414$.

The value that should come in place of the question mark is 414.