Question

evaluate the expression. show all steps! circle the answer.

1. 16÷8*5
2. 7² - 24÷3
3. 5 + 1.2÷0.3
4. 18÷6 + 4*3
5. 13 - 15÷5+9
6. ¼*3² - 5
7. 8(6 - 2)+4
8. 28 - 3(4 + 5)
9. 1.2*5 - 6÷3
10. (11 + 15)÷13
11. 35 - 3²*2
12. ½(3*20)-17

Explanation:

Step1: Follow order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division from left - to - right, Addition and Subtraction from left - to - right) for each expression.

1. $16\div8\times5$

First, do the division: $16\div8 = 2$. Then, do the multiplication: $2\times5=10$.

2. $7^{2}-24\div3$

First, calculate the exponent: $7^{2}=49$. Then, do the division: $24\div3 = 8$. Finally, subtract: $49 - 8=41$.

3. $5+12\div0.3$

First, do the division: $12\div0.3 = 40$. Then, add: $5 + 40=45$.

4. $18\div6+4\times3$

First, do the division: $18\div6 = 3$. Then, do the multiplication: $4\times3 = 12$. Finally, add: $3+12 = 15$.

5. $13-15\div5 + 9$

First, do the division: $15\div5 = 3$. Then, subtract and add from left - to - right: $13-3+9=10 + 9=19$.

6. $\frac{1}{4}\times3^{2}-5$

First, calculate the exponent: $3^{2}=9$. Then, do the multiplication: $\frac{1}{4}\times9=\frac{9}{4}=2.25$. Finally, subtract: $2.25-5=-2.75$.

7. $8(6 - 2)+4$

First, do the operation inside the parentheses: $6 - 2=4$. Then, do the multiplication: $8\times4 = 32$. Finally, add: $32+4 = 36$.

8. $28-3(4 + 5)$

First, do the operation inside the parentheses: $4 + 5=9$. Then, do the multiplication: $3\times9 = 27$. Finally, subtract: $28-27 = 1$.

9. $1.2\times5-6\div3$

First, do the multiplication: $1.2\times5 = 6$. Then, do the division: $6\div3 = 2$. Finally, subtract: $6-2 = 4$.

10. $(11 + 15)\div13$

First, do the operation inside the parentheses: $11 + 15=26$. Then, do the division: $26\div13 = 2$.

11. $35-3^{2}\times2$

First, calculate the exponent: $3^{2}=9$. Then, do the multiplication: $9\times2 = 18$. Finally, subtract: $35-18 = 17$.

12. $\frac{1}{2}(3\times20)-17$

First, do the operation inside the parentheses: $3\times20 = 60$. Then, do the multiplication: $\frac{1}{2}\times60 = 30$. Finally, subtract: $30-17 = 13$.

Answer:

1. $10$
2. $41$
3. $45$
4. $15$
5. $19$
6. $-2.75$
7. $36$
8. $1$
9. $4$
10. $2$
11. $17$
12. $13$