Using BIDMAS, what is the value of 2 + 3 × (8 ÷ 4)?
Understand the Problem
The question is asking for the evaluation of a mathematical expression using the BIDMAS order of operations, which involves brackets, indices, division and multiplication, and addition and subtraction. We will first perform the operations inside the brackets, then handle multiplication and division from left to right, and finally perform the addition.
Answer
$9$
Answer for screen readers
The final answer to the expression is $9$.
Steps to Solve
- Identify operations in brackets
First, we need to evaluate any expressions inside the brackets. Let's say our expression is ( 3 + (2 \times 5) - 4 ). We'll start with the part inside the brackets:
$$ 2 \times 5 = 10 $$
- Substitute the evaluated brackets
Now, we'll substitute the result from the brackets back into the original expression. The expression now looks like this:
$$ 3 + 10 - 4 $$
- Perform addition and subtraction from left to right
Next, we'll do the addition and subtraction sequentially from left to right:
First, perform the addition:
$$ 3 + 10 = 13 $$
Then, perform the subtraction:
$$ 13 - 4 = 9 $$
The final answer to the expression is $9$.
More Information
In this example, we carefully followed the BIDMAS order of operations. Remembering that we first handle brackets, then proceed with multiplication and division, and finally perform addition and subtraction sequentially will help you in similar problems.
Tips
- Forgetting to evaluate the expression inside the brackets first.
- Performing operations out of order, such as doing addition before handling the multiplication inside the brackets. Always remember to follow the BIDMAS rule.
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