Selina solutions

Selina solutions

Grade 6

Fundamental Operations (Related to Algebraic Expressions) | Exercise 19(D)

Question 1

Q1) Divide : (i) 3a by a

(ii) 15x by 3x

(iii) 16m by 4

(iv) 20x^{2\ }by\ 5x

(v) 30p^2\ by\ 10p^2

(vi) 14a^3b^3\ by\ 2a^2

(vii) 18pqr^2\ by\ 3pq

(viii) 100 by 50b

Solution 1:

(i) 3a\div a=\frac{3\times a}{a}=3

(ii) 15x\div3x=\frac{3\times5\times x}{3\times x}=5

(iii) 16m\div4=\frac{4\times4\times m}{4}=4m

(iv) 20x^2\div5x=\frac{4\times5\times x^{2-1}}{5}=4x

(v) 30p^2\div10p^2=\frac{3\times10p^2}{10p^2}=3

(vi) 14a^3b^3\div2a^2=\frac{2\times7a^{3-2}b^3}{2}7ab^3

(vii) 18pqr^2\div3pq=\frac{3\times6.p\times q\times r^2}{3\times p\times q}6r^2

(viii) 100\div50b=\frac{2\times50}{50\times b}=\frac{2}{b}

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subject-cta

Question 1

Q1) Divide : (i) 3a by a

(ii) 15x by 3x

(iii) 16m by 4

(iv) 20x^{2\ }by\ 5x

(v) 30p^2\ by\ 10p^2

(vi) 14a^3b^3\ by\ 2a^2

(vii) 18pqr^2\ by\ 3pq

(viii) 100 by 50b

Solution 1:

(i) 3a\div a=\frac{3\times a}{a}=3

(ii) 15x\div3x=\frac{3\times5\times x}{3\times x}=5

(iii) 16m\div4=\frac{4\times4\times m}{4}=4m

(iv) 20x^2\div5x=\frac{4\times5\times x^{2-1}}{5}=4x

(v) 30p^2\div10p^2=\frac{3\times10p^2}{10p^2}=3

(vi) 14a^3b^3\div2a^2=\frac{2\times7a^{3-2}b^3}{2}7ab^3

(vii) 18pqr^2\div3pq=\frac{3\times6.p\times q\times r^2}{3\times p\times q}6r^2

(viii) 100\div50b=\frac{2\times50}{50\times b}=\frac{2}{b}

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subject-cta
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