by DMAS questions for class 5 ( NUMERICAL EXPRESSIONS WITHOUT BRACKETS )
DMAS RULE
DMAS rule is followed when multiple arithmetic operations like addition, subtraction, multiplication and division are present in a given mathematical expression. In ‘DMAS’, D stands for division, M for multiplication, A for addition, and S for subtraction. DMAS represents the order of operations. When a mathematical expression involving all four operations is given, we solve these operations in the order:
- Division 2. Multiplication 3. Addition 4. Subtraction
For example, consider the following cases.
Example: Simplify: 5 + 4 × 3 – 9 ÷ 3
Sol. In this example, all the four operations are there, so we have to use DMAS rule.
5+ 4 × 3 – 9 ÷ 3= 5 + 4 × 3 – 3 (Division: 9 ÷ 3 = 3)
= 5 + 12 – 3 (Multiplication: 4 × 3 = 12)
= 17 – 3 (Addition: 5 + 12 = 17)
= 14 (Subtraction: 17 – 3 = 14)
Example : Simplify using DMAS rule 5 x 3 +8 ÷ 4
Solution. 5 x 3 +8 ÷ 4= 5 x 3 +8 ÷ 4
= 5 x 3 +2
=15+2
=17
DMAS SUMS FOR CLASS 5 (solved examples)
Simplify the following numerical expressions:
(i) 28-3 x 5 +4
Sol. 28-3 x 5 +4=28-15+4
=32-15
=17
(ii) 15-3 x 4 ÷2+2
Sol. 15-3 x 4 ÷2+2= 15-3 x 2+2
=15-6+2
=17-6
=11
(iii) 39-18÷3+2 x 3
Sol. 39-18÷3+2 x 3 =39-6+2 x 3
=39-6+6
=45-6
=39
(iv) 5 x 8-6 ÷2
Sol. 5 x 8 -6 ÷2=5 x 8-3
=40-3
=37
(v) 15÷5 x 4 ÷ 2
Sol. 15÷5 x 4 ÷ 2=3 x 2
=6
(vi)10+8÷4-2 x 6
Sol. 10+8÷4-2 x 6=10+2-2 x 6
=10+2-12
=12-12
=0
(vii)42-18 ÷2 x 3
Sol. 42-18 ÷2 x 3=42-9 x 3
=42-27
=15
(viii) 5 ÷ 5 +6 x 6
Sol. 5 ÷ 5 +6 x 6=1 +6 x 6
=1+36
=37
(ix) 7 × 3 – 4 + 60 ÷ 10
Sol. 7 × 3 – 4 + 60 ÷ 10= 7 × 3 – 4 + 6
= 21 – 4 + 6
= 27 – 4
= 23
(x) 18+4×6÷2-9
Sol. 18+4×6÷2-9=18+4×3-9
=18+12-9
=30-9
=21
(xi) 128÷ 4 +12 x 5 -4
Sol. 128÷ 4 +12 x 5 -4= 32+12 x 5 -4 (solving ÷)
=32+60-4 (Solving x )
= 92-4 (solving + )
= 88 (solving -)
(xii) 49÷ 7 x 7 +5 x 3 – 2
Sol. 49÷ 7 x 7 +5 x 3 – 2= 7 x 7 +5 x 3 – 2
=49 + 15 -2
=64-2
=62
(xiii) 10+12÷ 4+2 x 9 -10
Sol. 10+12÷ 4+2 x 9 -10= 10+3+2 x 9 -10
= 10+3+18-10
= 31-10
= 21
(xiv) 57 x 50 +57 -57÷57
Sol. 57 x 50 +57 -57÷57 =57 x 50 +57 -1
=2850+57-1
=2907-1
=2906
(xv) 289+153÷17-8 x 19
Sol. 289+153÷17-8 x 19 = 289+9-8 x 19
=289+ 9-152
=298-152
=146
(xvi) 100 x 10-100+2000÷100
Sol. 100 x 10-100+2000÷100= 100 x 10-100+20
=1000-100+20
=1020-100
=920
(xvii) 30÷ 6+10-2 x 5
Sol. 30÷ 6+10-2 x 5=5+10-2 x 5
=5+10-10
=15-10
=5
(xviii) 48÷16 x 2 +17-9
Sol. 48÷16 x 2 +17-9=3 x 2 +17-9
=6+17-9
=23-9
=14
(xix)12 x 3 ÷ 3 x 4 -2+6
Sol. 12 x 3 ÷ 3 x 4 -2+6 =12 x 1 x 4 -2+6
=48-2+6
=54-2
=52
(xx) 121÷ 11+29-2 x 10
Sol. 121÷ 11+29-2 x 10= 11+29-2 x 10
=11+29-20
=40-20
=20
DMAS QUESTIONS FOR CLASS 5 (Unsolved with answers)
(i) 6 + 42 ÷ 2 – 15
(ii) 25 × 2 – 42 ÷ 6 + 18
(iii) 8 + 9 – 2 × 3
(iv) 12 ÷ 2 × 6 + 4 – 3
(v) 4 + 44– 5 × 6
(vi) 5 + 36 ÷ 2 × 3 – 4
(vii) 63 ÷ 7 × 3 – 4
(viii) 4 – 6 × 2 ÷ 2 + 2
(ix) 3 + 48 ÷ 8 – 9
(x) 36 – 10 × 2 ÷ 5 – 11
(xi)60-48 ÷ 6 x 4 +8
(xii) 39-16 +18 x 9 ÷ 3
(xiii) 100-56 ÷ 7 +15 x 2
(xiv) 16+8 ÷ 4 -2 x 3
(xv) 5 x 50 +57 -57 ÷ 57
Ans. (i) 12 (ii) 61 (iii) 11 (iv) 37 (v)18 (vi) 55 (vii)23 (viii) 0 (ix) 0 (x) 21 (xi) 36 (xii) 77 (xiii) 122 (xiv) 12 (xv) 306
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