6th Maths : Term 1 Unit 1 : Numbers
Order of Operations
The rule of order of operations is called as BIDMAS.
Think about the situation
Valli and her four friends went to a butter milk shop. Each had a cup of butter milk and paid ₹ 30, assuming that the cost of one cup of butter milk to be ₹ 6. But the shop keeper told that the cost of butter milk had increased by ₹ 2. Then, Valli decided to give ₹ 2 more and paid ₹ 32. But the shop keeper claimed that she had to pay ₹ 40. Who is correct?
The amount ₹ 40 claimed by the Shop keeper is correct. This confusion can be avoided by using the brackets in the correct places like 5 × (6 + 2).
The rule of order of operations is called as BIDMAS.
Now, we try to solve 9 + 5 × 2 by using BIDMAS,
9 + (5 × 2) = 9 + 10
= 19
Example 1.9
Simplify: 24 + 2 × 8 ÷ 2 + 1
Solution24 + 2 × 8 ÷ 2 − 1 (given question)
= 24 + 2 × 4 − 1 (÷ operation, completed first)
= 24 + 8 – 1 (× operation, completed second)
= 32 − 1 (+ operation, completed third)
= 31 (− operation , completed last)
Example 1.10
Simplify: 20 + [8 × 2 + {
6 × 3 − 10 ÷ 5}]
20 + [8 × 2 + { − 10 ÷ 5}] (given question)
− 10 ÷ 5}] (given question)= 20 + [8 × 2 + {18 – 10 ÷ 5}] (bar completed first)
= 20 + [8 × 2 + {18 − 2}] ( ÷ completed second )
= 20 + [8 × 2 + 16] ({ } completed third)
= 20 + [16 + 16] (× completed fourth)
= 20 + 32 ([ ] operation completed fifth)
= 52 (+ completed last)
Tags: Numbers | Term 1 Chapter 1 | 6th Maths, 6th Maths : Term 1 Unit 1 : Numbers. Study Material, Lecturing Notes, Assignment, Reference.