Question

1. $(6 + 2 + 6 \times 3) \times 2$
2. $6 + 6 \times 3 - (5 - 5)$
3. $(6 - 2) \times 9 \div (5 - 2)$

Explanation:

Problem 12: \((6 + 2 + 6 \times 3) \times 2\)

Step 1: Calculate inside the parentheses (multiplication first)

First, we perform the multiplication inside the parentheses: \(6 \times 3 = 18\). So the expression inside the parentheses becomes \(6 + 2 + 18\).

Step 2: Add inside the parentheses

Now, we add the numbers inside the parentheses: \(6 + 2 + 18 = 26\).

Step 3: Multiply by 2

Finally, we multiply the result by 2: \(26 \times 2 = 52\).

Step 1: Calculate the parentheses

First, we calculate the expression inside the parentheses: \(5 - 5 = 0\). So the expression becomes \(6 + 6 \times 3 - 0\).

Step 2: Perform the multiplication

Next, we perform the multiplication: \(6 \times 3 = 18\). The expression now is \(6 + 18 - 0\).

Step 3: Add and subtract

Finally, we add and subtract: \(6 + 18 - 0 = 24\).

Step 1: Calculate the parentheses

First, we calculate the expressions inside the parentheses. For the first parentheses: \(6 - 2 = 4\). For the second parentheses: \(5 - 2 = 3\). So the expression becomes \(4 \times 9 \div 3\).

Step 2: Perform the multiplication

Next, we perform the multiplication: \(4 \times 9 = 36\). The expression now is \(36 \div 3\).

Step 3: Perform the division

Finally, we perform the division: \(36 \div 3 = 12\).

Answer:

\(52\)

Problem 15: \(6 + 6 \times 3 - (5 - 5)\)