bodmas questions and answers
Answers
Answer:
1. Bracket → Solve inside the Brackets before Of, Multiply, Divide, Add or Subtract.
For example:
7 × (15 + 5)
= 7 × 20
= 140
2. Of → Then, solve Of part (Powers, Roots, etc.,) before Multiply, Divide, Add or Subtract.
For example:
6 + 3 of 7 - 5
= 6 + 3 × 7 - 5
= 6 + 21 - 5
= 27 - 5
= 22
3. Division/Multiplication → Then, calculate Multiply orDivide before Add or Subtract start from left to right.
For example:
20 + 21 ÷ 3 × 2
= 20 + 7 × 2
= 20 + 14
= 34
4. Addition/Subtraction → At last Add or Subtract start from left to right.
17 + (8 - 5) × 5
= 17 + 3 × 5
= 17 + 15
= 32
Worked-out problems for solving BODMAS rules - involving integers:
Simplify using BODMAS rule:
(a) 25 - 48 ÷ 6 + 12 × 2
Solution:
25 - 48 ÷ 6 + 12 × 2
= 25 - 8 + 12 × 2, (Simplifying ‘division’ 48 ÷ 6 = 8)
= 25 - 8 + 24, (Simplifying ‘multiplication’ 12 × 2 = 24)
= 17 + 24, (Simplifying ‘subtraction’ 25 - 8 = 17)
= 41, (Simplifying ‘addition’ 17 + 24 = 41)
Answer: 41
(b) 78 - [5 + 3 of (25 - 2 × 10)]
Solution:
78 - [5 + 3 of (25 - 2 × 10)]
= 78 - [5 + 3 of (25 - 20)], (Simplifying ‘multiplication’ 2 × 10 = 20)
= 78 - [5 + 3 of 5], (Simplifying ‘subtraction’ 25 - 20 = 5)
= 78 - [5 + 3 × 5], (Simplifying ‘of’)
= 78 - [5 + 15], (Simplifying ‘multiplication’ 3 × 5 = 15)
= 78 - 20, (Simplifying ‘addition’ 5 + 15 = 20)
= 58, (Simplifying ‘subtraction’ 78 - 20 = 58)
Answer: 58
Step-by-step explanation:
1. {(10 1/3 - 2/9) ÷ 5/18} of (3/8 + 1/4)
2. 4 1/3 - {17/4- (5 1/4 × 2 1/2) }
3 71/3 - 21/4 (2 1/5 × 3/4)
4. 15/21 of 45/3 – 1/15 ÷ 3/7
5 3/16 + 13/16 ÷ 2 9/15 ÷ 1 1/3
6 ¾ of 16/27 + 23/14 + 12/18