Question

1. **simplify: -4² + 24×2
2. *simplify: (5 - 8)(3 - 9)
3. **simplify: (3 + 9×2)/(2 - 3²)
4. if the expression 3 - 4² + 2 is evaluated, what would be done last? explain.

Explanation:

2.

Step1: Calculate exponent

$-4^2=-16$ (Note: here it's $-(4^2)$ not $(-4)^2$)

Step2: Calculate multiplication

$24\times2 = 48$

Step3: Calculate addition

$-16 + 48=32$

Step1: Calculate values in parentheses

$5 - 8=-3$ and $3-9=-6$

Step2: Calculate multiplication

$(-3)\times(-6)=18$

Step1: Calculate numerator - multiplication

$9\times2 = 18$

Step2: Calculate numerator - addition

$3+18 = 21$

Step3: Calculate denominator - exponent

$3^2=9$

Step4: Calculate denominator - subtraction

$2 - 9=-7$

Step5: Calculate fraction

$\frac{21}{-7}=-3$

Answer:

$32$

3.