Question

in 4 - 6, evaluate each expression.

1. $5^2 - 9 \div 3$
2. $8 + 6 - 2 \times 2 - 3^2$
3. $4^2 \div (3.2 \times 2) + 1.6$

Explanation:

Step1: Evaluate expression 4

First calculate exponents, then division, then subtraction.
$5^2 - 9 \div 3 = 25 - 3$

Step2: Compute final value for 4

Subtract the two values.
$25 - 3 = 22$

Step1: Evaluate expression 5

First calculate exponents and multiplication, then add/subtract left to right.
$8 + 6 - 2 \times 2 - 3^2 = 8 + 6 - 4 - 9$

Step2: Compute final value for 5

Perform sequential addition/subtraction.
$8+6-4-9 = 1$

Step1: Evaluate expression 6

First calculate inner parentheses, then brackets, then exponent, then division.
$4^2 \div [(3.2 \times 2) + 1.6] = 16 \div [6.4 + 1.6]$

Step2: Simplify bracket term

Add values inside the brackets.
$16 \div [8] = 16 \div 8$

Step3: Compute final value for 6

Divide to get the result.
$16 \div 8 = 2$

Answer:

1. 22
2. 1
3. 2