Question

abdul tried to evaluate an expression. here is his work:
$6 + (13 - 10 \div 2) \cdot 30 - 3 \cdot (5 + 4)$
$= 6 + (13 - 5) \cdot 30 - 3 \cdot 9$ step 1
$= 6 + 8 \cdot 30 - 27$ step 2
$= 6 + 8 \cdot 3$ step 3
$= 6 + 24$ step 4
$= 30$ step 5
is abduls work correct?
no, abdul made a mistake going from the given expression to step 1 should have multiplied 3 and 5 before adding. the order of operation multiply before you add.
no, abdul made a mistake going from step 2 to step 3. abdul should added 6 and 8 instead of subtracting. the order of operations says to subtract from left to right.

Explanation:

Step1: Evaluate parentheses and brackets

First, evaluate \(10\div2 = 5\) and \(5 + 4=9\). Then \(13-5 = 8\) and \(3\times9 = 27\), \(30-27=3\).

Step2: Perform multiplication

Now we have \(6+8\times3\). According to the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (from left - to - right), Addition and Subtraction (from left - to - right)), we should perform the multiplication \(8\times3=24\) before addition.

Step3: Perform addition

Then \(6 + 24=30\).

Answer:

Abdul's work is correct.