Question

for problems 8 - 10, evaluate.

1. $312 - (4 + 1)$

1. $4cdot|9 - 5| + 6$

1. $2 + \frac{20 - 3^3}{5 + 6}$

Explanation:

Step1: Evaluate innermost parentheses

For problem 8: $4+1=5$

Step2: Subtract inside brackets

For problem 8: $12-5=7$

Step3: Multiply by outer coefficient

For problem 8: $3 \times 7=21$

Step4: Evaluate absolute value

For problem 9: $|9-5|=|4|=4$

Step5: Multiply then add

For problem 9: $4 \times 4 + 6 = 16 + 6 = 22$

Step6: Calculate numerator and denominator

For problem 10: $20-3^2=20-9=11$; $5+6=11$

Step7: Divide then add

For problem 10: $2 + \frac{11}{11}=2+1=3$

Answer:

1. $21$
2. $22$
3. $3$