To solve these problems, we need to follow the
Order of Operations. This is a set of rules that tells us which math operation to do first.
The rule is often remembered as
PEMDAS or
BODMAS:
1.
P/B: Parentheses/Brackets (do these first)
2.
E/O: Exponents/Orders (powers and square roots)
3.
MD/DM: Multiplication and Division (do these from left to right)
4.
AS: Addition and Subtraction (do these from left to right)
Since there are no parentheses or exponents in these problems, we will always do
Multiplication and Division first, and then do
Addition and Subtraction.
Let's solve each problem step-by-step:
1. $7 \times 2 + 8 - 4$
* First, multiply: $7 \times 2 = 14$
* Now the problem is: $14 + 8 - 4$
* Add: $14 + 8 = 22$
* Subtract: $22 - 4 = 18$
*
Answer: 18
2. $8 + 6 \div 3 - 5$
* First, divide: $6 \div 3 = 2$
* Now the problem is: $8 + 2 - 5$
* Add: $8 + 2 = 10$
* Subtract: $10 - 5 = 5$
*
Answer: 5
3. $2 \times 3 + 8 \div 4$
* First, do multiplication and division from left to right.
* Multiply: $2 \times 3 = 6$
* Divide: $8 \div 4 = 2$
* Now the problem is: $6 + 2$
* Add: $6 + 2 = 8$
*
Answer: 8
4. $2 \times 5 + 8 - 2$
* First, multiply: $2 \times 5 = 10$
* Now the problem is: $10 + 8 - 2$
* Add: $10 + 8 = 18$
* Subtract: $18 - 2 = 16$
*
Answer: 16
5. $5 + 9 \times 2 + 3$
* First, multiply: $9 \times 2 = 18$
* Now the problem is: $5 + 18 + 3$
* Add: $5 + 18 = 23$
* Add: $23 + 3 = 26$
*
Answer: 26
6. $4 + 3 - 2 \times 2$
* First, multiply: $2 \times 2 = 4$
* Now the problem is: $4 + 3 - 4$
* Add: $4 + 3 = 7$
* Subtract: $7 - 4 = 3$
*
Answer: 3
7. $9 \times 4 \div 2 - 5$
* First, do multiplication and division from left to right.
* Multiply: $9 \times 4 = 36$
* Divide: $36 \div 2 = 18$
* Now the problem is: $18 - 5$
* Subtract: $18 - 5 = 13$
*
Answer: 13
8. $9 \times 9 - 5 + 2$
* First, multiply: $9 \times 9 = 81$
* Now the problem is: $81 - 5 + 2$
* Subtract: $81 - 5 = 76$
* Add: $76 + 2 = 78$
*
Answer: 78
9. $6 \div 3 \times 6 - 5$
* First, do division and multiplication from left to right.
* Divide: $6 \div 3 = 2$
* Multiply: $2 \times 6 = 12$
* Now the problem is: $12 - 5$
* Subtract: $12 - 5 = 7$
*
Answer: 7
10. $3 \times 4 + 6 - 5$
* First, multiply: $3 \times 4 = 12$
* Now the problem is: $12 + 6 - 5$
* Add: $12 + 6 = 18$
* Subtract: $18 - 5 = 13$
*
Answer: 13
Final Answer:
1. 18
2. 5
3. 8
4. 16
5. 26
6. 3
7. 13
8. 78
9. 7
10. 13
Parent Tip: Review the logic above to help your child master the concept of using pemdas fact drill printables.
