Find the value of 24 ÷ (3 – 8 × 3 + 27) + 3.

Correct Option: 7

To find the value of the given expression, we follow the order of operations (BODMAS / PEMDAS rules):

1. Brackets / Parentheses
2. Orders / Exponents
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)

The given mathematical expression is:

$24÷(3-8\times 3+27)+3$

Step 1: Evaluate the expression inside the parentheses

Inside the parentheses $(3-8\times 3+27)$, we perform multiplication first:

$8\times 3=24$

Substitute this value back into the parentheses:

$3-24+27$

Now, perform addition and subtraction from left to right:

$3-24=-21$

$-21+27=6$

So, the expression inside the parentheses simplifies to $6$.

Step 2: Perform the division

Substitute $6$ back into the main expression:

$24÷6+3$

Dividing 24 by 6 gives:

$24÷6=4$

Step 3: Perform the addition

Finally, add 3 to the result:

$4+3=7$

Therefore, the value of the expression is 7.