Simplify the following expression.
.
Correct Answer :
1000
Solution :
To simplify the given expression, we follow the BODMAS rule, which determines the order of operations: Brackets, Of, Division, Multiplication, Addition, and Subtraction.
The given expression is:
Let us simplify each part of the expression step-by-step:
Step 1: Simplify the first bracket
According to BODMAS, we evaluate "of" before division and addition:
Now, perform the division:
Finally, add 60:
Step 2: Simplify the term inside curly brackets
First, evaluate the innermost bracket:
This gives us:
Next, evaluate the "of" terms inside the parentheses:
Now multiply these results:
Now divide 1000 by 500:
Step 3: Simplify the third bracket
Evaluate "of" first:
Now perform the multiplication:
Step 4: Combine the simplified parts back into the expression
Substituting the values obtained from Steps 1, 2, and 3 back into the main expression:
Perform the multiplication first:
Next, perform subtraction and addition from left to right:
The correct answer is 1000.
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