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\\October 8, 2025 12:09 PM Bharat Arora P-9 Reader _________________________ Date: ___________________74

Here are the first letters of the operations in the order in which they are performed.
division Multiplication Addition Subtraction

d M A S

Now let us solve the expression 5 + 8 + 45 ÷ 5 × 4 – 1 using the rule of DMAS.
5 + 8 + 45 ÷ 5 × 4 – 1

First - Division = 5 + 8 + (45 ÷ 5) × 4 – 1 [45 ÷ 5 = 9]
Second - Multiplication = 5 + 8 + (9 × 4) – 1 [9 × 4 = 36] Math Insight

Third - Addition = (5 + 8 + 36) – 1 [5 + 8 + 36 = 49] If any operation is
missing, skip to the
Fourth - Subtraction = 49 – 1 = 48 [49 – 1 = 48] next operation.
Hence, 5 + 8 + 45 ÷ 5 × 4 – 1 = 48

example 1: Simplify: 26 ÷ 2 × 4 + 1 – 8

Solution: We have, 26 ÷ 2 × 4 + 1 – 8
= 13 × 4 + 1 – 8 (Division: 26 ÷ 2)

= 52 + 1 – 8 (Multiplication: 13 × 4) Math Insight
= 53 – 8 (Addition: 52 + 1) (Dear Mother and Sister)
D M A S
= 45 (Subtraction: 53 – 8)
Thus, 26 ÷ 2 × 4 + 1 – 8 = 45

example 2: Simplify: 15 + 24 ÷ 3 – 1 × 6
Solution: We have, 15 + 24 ÷ 3 – 1 × 6

= 15 + 8 – 1 × 6 (Division: 24 ÷ 3)
= 15 + 8 – 6 (Multiplication: 1 × 6)
= 23 – 6 (Addition: 15 + 8)

= 17 (Subtraction: 23 – 6)
Thus, 15 + 24 ÷ 3 – 1 × 6 = 17.

Practice time 2f

Simplify the following expressions.

1. 32 – 8 × 2 2. 18 + 20 ÷ 4
3. 15 × 10 ÷ 2 4. 35 × 48 + 2024

5. 4025 ÷ 175 + 1362 6. 16 – 16 ÷ 2 – 3

7. 8 × 13 – 4 × 15 8. 37 – 6 × 4 + 32 ÷ 4
9. 30 – 28 + 36 ÷ 2 10. 96 ÷ 16 + 34 × 10 – 13

11. 3 × 4 – 45 ÷ 9 + 12 × 5 12. 70 ÷ 14 × 6 – 10 ÷ 5 + 1

Mathematics-5 4949
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