by Simplification questions for class 5
To simplify a numerical expression having two or more operations, we use ‘BODMAS’ , where the letters B, O, D, M, A, S stand for Brackets , orders(powers/indices or roots) , Division, Multiplication, Addition and Subtraction respectively. The following questions on simplifications has different types of questions that can be practiced by the students to get more ideas to simplify the expressions.
Simplification questions for class 5 (solved examples)
(I) 14 x 7+36÷4+14
sol. 14 x 7+36÷4+14= 14 x 7+9 +14 (performing division )
= 98+9+14 (performing multiplication)
=121
(II) 100-56÷7+15 x 2
Sol. 100-56÷7+15 x 2= 100-8+15 x 2 (simplifying division)
= 100-8+30 ( simplifying multiplication)
= 100+30-8
= 130-8 = 122
(III) 19 − [4 + {16 − (12 − 2)}]
Sol. 19 – [4 + {16 – (12 – 2)}] = 19 – [4 + {16 – 10}] (Removing small brackets)
= 19 – [4 + 6] (Removing curly brackets)
= 19 – 10 (Removing square brackets)
= 9
(IV ) 12-[20 ÷{8-2(9-5-2)}]
Sol. 12-[20 ÷{8-2(9-5-2)}]= 12-[20 ÷{8-2 x 2}] (removing small brackets)
=12-[20 ÷{8-4}]
=12-[20 ÷4] (removing braces)
= 12-5 (removing big brackets)
=7
(V) [24 ÷ {10- (8-
Sol. [24 ÷ {10- (8- )}] = [24 ÷ {10- (8- 4)}] (removing bar)
=[24 ÷ {10- 4}] (removing small brackets)
=[24 ÷ 6] (removing braces)
=4 (removing big brackets)
(VI)
Sol. =
(solving division)
= (solving multiplication)
= 68 -32 ( solving addition)
= 36
(VII)
Sol. (solving division)
= 12-2+1 (solving multiplication)
=13 -2 (solving addition)
=11
(VIII)
Sol. (removing bar)
= (removing small brackets)
= (removing curly braces)
= 54 +6 (solving multiplication)
= 60
(IX)
Sol. (removing bar)
= (removing small brackets)
= (solving multiplication under curly braces}
= (removing curly braces)
= 4
(X)
Sol. (solving division)
= 1000 -100 +20 (solving multiplication)
= 1020 -100 (solving addition)
= 920
Simplification questions for class 5 (Unsolved problems for practice)
(i) 30÷6+10-2 x 5
(ii) 48÷16 x 2+17 – 9
(iii) (18+10)-(3 x 6)
(iv) (10 x 8) ÷ (20÷5)
(v) {20-(24- 10)}+7
(vi) {20+(15+5)}-5
(vii) 12 x 3 ÷3 x 4-2+6
(viii) 121 ÷ 11+ 29 – 2 x 10
(ix) 45 – [38 – {60 ÷ 3 – (6 – 9 ÷ 3) ÷ 3}]
(x) 37 – 6 × 4 + 32 ÷ 8
(xi) 27 − [18 − {16 − (5 −)}]
(xii) 100 x 10 -100+2000÷100
(xiii) 5751 x {45-(90÷2)}
(xiv) 289+153÷17-8 x 19
(xv) 7823-128÷16 of 4 -3973
(xvi) [{64-(12+13)}÷3]+15
(xvii) 4+4+4+4 ÷ 4
(xviii)20- {18÷(7-2+1)}
(xix) 2[19-{7+(12÷4)}]
(xx) [{(30-)÷3} x 6+6]
Ans.(i) 5 (ii) 14 (iii) 10 (iv) 20 (v) 13 (vi) 35 (vii) 52 (viii) 20 (ix) 26 (x) 17 (xi) 23 (xii) 920
(xiii) 0 (xiv)146 (xv) 3848 (xvi) 28 (xvii) 13 (xviii) 17 (xix) 18 (xx) 60
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Simplification questions for class 5 (Quiz)
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