To solve these problems, we need to follow the
order of operations. This is a set of rules that tells us which part of the math problem to solve first.
The rule is often remembered by the acronym
PEMDAS or
BODMAS:
1.
P/B: Parentheses/Brackets (solve inside first)
2.
E/O: Exponents/Orders (powers and roots)
3.
MD/DM: Multiplication and Division (solve from left to right)
4.
AS/AS: Addition and Subtraction (solve from left to right)
Since there are no parentheses or exponents in these problems, we will start with
Multiplication and Division first, working from left to right. Then, we will do
Addition and Subtraction, also from left to right.
Let's work through each problem one by one:
Problem 1: $7 \times 2 + 8 - 4$
1.
Multiply first: $7 \times 2 = 14$.
* Now the problem is: $14 + 8 - 4$.
2.
Add next (left to right): $14 + 8 = 22$.
* Now the problem is: $22 - 4$.
3.
Subtract last: $22 - 4 = 18$.
Problem 2: $8 + 6 \div 3 - 5$
1.
Divide first: $6 \div 3 = 2$.
* Now the problem is: $8 + 2 - 5$.
2.
Add next: $8 + 2 = 10$.
* Now the problem is: $10 - 5$.
3.
Subtract last: $10 - 5 = 5$.
Problem 3: $2 \times 3 + 8 \div 4$
1.
Multiply and Divide first (left to right):
* $2 \times 3 = 6$
* $8 \div 4 = 2$
* Now the problem is: $6 + 2$.
2.
Add last: $6 + 2 = 8$.
Problem 4: $2 \times 5 + 8 - 2$
1.
Multiply first: $2 \times 5 = 10$.
* Now the problem is: $10 + 8 - 2$.
2.
Add next: $10 + 8 = 18$.
* Now the problem is: $18 - 2$.
3.
Subtract last: $18 - 2 = 16$.
Problem 5: $5 + 9 \times 2 + 3$
1.
Multiply first: $9 \times 2 = 18$.
* Now the problem is: $5 + 18 + 3$.
2.
Add next: $5 + 18 = 23$.
* Now the problem is: $23 + 3$.
3.
Add last: $23 + 3 = 26$.
Problem 6: $4 + 3 - 2 \times 2$
1.
Multiply first: $2 \times 2 = 4$.
* Now the problem is: $4 + 3 - 4$.
2.
Add next: $4 + 3 = 7$.
* Now the problem is: $7 - 4$.
3.
Subtract last: $7 - 4 = 3$.
Problem 7: $9 \times 4 \div 2 - 5$
1.
Multiply and Divide first (left to right):
* $9 \times 4 = 36$
* $36 \div 2 = 18$
* Now the problem is: $18 - 5$.
2.
Subtract last: $18 - 5 = 13$.
Problem 8: $9 \times 9 - 5 + 2$
1.
Multiply first: $9 \times 9 = 81$.
* Now the problem is: $81 - 5 + 2$.
2.
Subtract next: $81 - 5 = 76$.
* Now the problem is: $76 + 2$.
3.
Add last: $76 + 2 = 78$.
Problem 9: $6 \div 3 \times 6 - 5$
1.
Divide and Multiply first (left to right):
* $6 \div 3 = 2$
* $2 \times 6 = 12$
* Now the problem is: $12 - 5$.
2.
Subtract last: $12 - 5 = 7$.
Problem 10: $3 \times 4 + 6 - 5$
1.
Multiply first: $3 \times 4 = 12$.
* Now the problem is: $12 + 6 - 5$.
2.
Add next: $12 + 6 = 18$.
* Now the problem is: $18 - 5$.
3.
Subtract last: $18 - 5 = 13$.
Final Answer:
18, 5, 8, 16, 26, 3, 13, 78, 7, 13
Parent Tip: Review the logic above to help your child master the concept of order of operations worksheet with answers for 3rd grade.