SIMPLIFY NUMERICAL EXPRESSIONS
The word BEDMAS may help you to remember this order.
- Perform operations within Brackets first.(B)
- Then, calculate any part involving Exponents.(E)
- Then, starting from the left, perform all Divisions and Multiplications as you come to them. (D and M)
- Finally, working from the left, perform all Additions and Subtractions. (A and S)
Simplify, follow the order of operations.
Problem 1 :
(6 + 3) × 4
Solution :
Expression Evaluation Operation
(6 + 3) × 4 = (6 + 3) × 4 Parentheses
= 9 × 4 Multiplication
= 36 Result.
Problem 2 :
(7 - 5) × 6
Solution :
Expression Evaluation Operation
(7 - 5) × 6 = (7 - 5) × 6 Parentheses
= 2 × 6 Multiplication
= 12 Result
Problem 3 :
(15 + 3) ÷ 6
Solution :
Expression Evaluation Operation
(15 + 3) ÷ 6 = (15 + 3) ÷ 6 Parentheses
= 18 ÷ 6 Divide
= 3 Result
Problem 4 :
8 + (5 × 3)
Solution :
Expression Evaluation Operation
8 + (5 × 3) = 8 + (5 × 3) Parentheses
= 8 + 15 Add
= 23 Result
Problem 5 :
9 - (21 ÷ 7)
Solution :
Expression Evaluation Operation
9 - (21 ÷ 7) = 9 - (21 ÷ 7) Parentheses
= 9 - 3 Subtract
= 6 Result
Problem 6 :
3 × (12 - 8)
Solution :
Expression Evaluation Operation
3 × (12 - 8) = 3 × (12 - 8) Parentheses
= 3 × 4 Multiplication
= 12 Result
Problem 7 :
7 + (6 × 3) - 10
Solution :
Expression Evaluation Operation
7 + (6 × 3) - 10 = 7 + (6 × 3) - 10 Parentheses
= 7 + 18 - 10 Add
= 25 - 10 Subtract
= 15 Result
Problem 8 :
30 - (3 × 3) + 4
Solution :
Expression Evaluation Operation
30 - (3 × 3) + 4 = 30 - (3 × 3) + 4 Parentheses
= 30 - 9 + 4 Add
= 30 - 13 Subtract
= 17 Result
Problem 9 :
(18 - 3) ÷ 5
Solution :
Expression Evaluation Operation
(18 - 3) ÷ 5 = (18 - 3) ÷ 5 Parentheses
= 15 ÷ 5 Divide
= 3 Result
Problem 10 :
6 + 5 × 4 - 7
Solution :
Expression Evaluation Operation
6 + 5 × 4 - 7 = 6 + 5 × 4 - 7 Multiplication
= 6 + 20 - 7 Add
= 26 - 7 Subtract
= 19 Result
Problem 11 :
18 + 9 × 7 - 13
Solution :
Expression Evaluation Operation
18 + 9 × 7 - 13 = 18 + 9 × 7 - 13 Multiplication
= 18 + 63 - 13 Add
= 81 - 13 Subtract
= 68 Result
Problem 12 :
5 × (6 + 3) × 2
Solution :
Expression Evaluation Operation
5 × (6 + 3) × 2 = 5 × (6 + 3) × 2 Parentheses
= 5 × 9 × 2 Multiplication
= 45 × 2 Multiplication
= 90 Result
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