ORDER OF OPERATIONS WITH INTEGERS
Answer these questions without using a calculator.
Problem 1 :
4 - (5 - 3)
Solution:
|
Evaluation = 4 - (5 - 3) = 4 - 2 = 2 |
Operation Parenthesis Subtraction Result |
Problem 2 :
6 - (9 - 4)
Solution:
|
Evaluation = 6 - (9 - 4) = 6 - 5 = 1 |
Operation Parenthesis Subtraction Result |
Problem 3 :
-4 + (3 + 1)
Solution:
|
Evaluation = -4 + (3 + 1) = -4 + 4 = 0 |
Operation Parenthesis Addition Result |
Problem 4 :
6 + 4 × 2
Solution:
|
Evaluation = 6 + 4 × 2 = 6 + 8 = 14 |
Operation Multiplication Addition Result |
Problem 5 :
9 - 3 × 4
Solution:
|
Evaluation = 9 - 3 × 4 = 9 - 12 = -3 |
Operation Multiplication Subtraction Result |
Problem 6 :
16 + 4 ÷ 4
Solution:
|
Evaluation = 16 + 4 ÷ 4 = 16 + 1 = 17 |
Operation Division Addition Result |
Problem 7 :
10 × 4 - 4 × 7
Solution:
|
Evaluation = 10 × 4 - 4 × 7 = 40 - 28 = 12 |
Operation Multiplication Subtraction Result |
Problem 8 :
30 ÷ 3 + 40 ÷ 2
Solution:
|
Evaluation = 30 ÷ 3 + 40 ÷ 2 = 10 + 20 = 30 |
Operation Division Addition Result |
Problem 9 :
5 × 8 + 6 × 5
Solution:
|
Evaluation = 5 × 8 + 6 × 5 = 40 + 30 = 70 |
Operation Multiplication Addition Result |
Problem 10 :
5 × 22
Solution:
|
Evaluation = 5 × 22 = 5 × 4 = 20 |
Evaluation Exponent Multiplication Result |
Problem 11 :
3 × 102
Solution:
|
Evaluation = 3 × 102 = 3 × 100 = 300 |
Operation Exponent Multiplication Result |
Problem 12 :
32 + 42
Solution:
|
Evaluation = 32 + 42 = 9 + 16 = 25 |
Operation Exponent Addition Result |
Problem 13 :
6 + 3 × 4 + 1
Solution:
|
Evaluation = 6 + 3 × 4 + 1 = 6 + 12 + 1 = 19 |
Operation Multiplication Addition Result |
Problem 14 :
8 + 4 ÷ 2 + 1
Solution:
|
Evaluation = 8 + 4 ÷ 2 + 1 = 8 + 2 + 1 = 11 |
Operation Division Addition Result |
Problem 15 :
6 - (-6 - 6)
Solution:
|
Evaluation = 6 - (-6 - 6) = 6 - (-12) = 18 |
Operation Parenthesis Addition Result |
Problem 16 :
6 × (5 - 4) + 3
Solution:
|
Evaluation = 6 × (5 - 4) + 3 = 6 × 1 + 3 = 6 + 3 = 9 |
Operation Parenthesis Multiplication Addition Result |
Problem 17 :
27 ÷ (3 + 6) - 3
Solution:
|
Evaluation = 27 ÷ (3 + 6) - 3 = 27 ÷ 9 - 3 = 3 - 3 = 0 |
Operation Parenthesis Division Subtraction Result |
Problem 18 :
16 - [10 - (6 - 2)]
Solution:
|
Evaluation = 16 - [10 - (6 - 2)] = 16 - [10 - 4] = 16 - 6 = 10 |
Operation Parenthesis Parenthesis Subtraction Result |
Problem 19 :
Solution:
|
Evaluation = (30 + 10) ÷ (30 - 10) = 40 ÷ 20 = 2 |
Operation Parenthesis Division Result |
Problem 20 :
Solution:
|
Evaluation = (15 + 45) ÷ (45 + 5) = 60 ÷ 50 = 6/5 |
Operation Parenthesis Division Result |
Problem 21 :
Solution:
|
Evaluation = 14 ÷ (14 - 7) = 14 ÷ 7 = 2 |
Operation Parenthesis Division Result |
Problem 22 :
(6 + 3)2
Solution:
|
Evaluation = (6 + 3)2 = 92 = 81 |
Operation Parenthesis Exponent Result |
Problem 23 :
(10 + 4)2
Solution:
|
Evaluation = (10 + 4)2 = 142 = 196 |
Operation Parenthesis Exponent Result |
Problem 24 :
(19 - 9)2
Solution:
|
Evaluation = (19 - 9)2 = 102 = 100 |
Operation Parenthesis Exponent Result |
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