Question

1. $8 + 6 - 2 \times 2 - 3^2$ 6. $4^2 \div (3.2 \times 2) + 1.6$

Explanation:

Problem 5: \(8 + 6 - 2 \times 2 - 3^2\)

Step 1: Calculate exponents and multiplication

First, calculate the exponent \(3^2 = 9\) and the multiplication \(2 \times 2 = 4\).
The expression becomes \(8 + 6 - 4 - 9\).

Step 2: Perform addition and subtraction from left to right

First, \(8 + 6 = 14\).
Then, \(14 - 4 = 10\).
Finally, \(10 - 9 = 1\).

Step 1: Calculate the exponent and the inner parentheses

First, calculate the exponent \(4^2 = 16\).
Then, calculate the inner parentheses: \(3.2 \times 2 = 6.4\).
The expression inside the brackets becomes \(6.4 + 1.6\).

Step 2: Calculate the brackets

\(6.4 + 1.6 = 8\).
Now the expression is \(16 \div 8\).

Step 3: Perform the division

\(16 \div 8 = 2\).

Answer:

\(1\)

Problem 6: \(4^2 \div [(3.2 \times 2) + 1.6]\)