# CLASS-7RULES OF DIVISION FOR ALGEBRAIC EXPRESSION

Rules of Division of Algebraic Expression

1)  Any number divided by another number is the same as the first number multiplied by the reciprocal of the second number.

1                   x

x ÷ y  =  x  X  ----------  =   ----------

y                   y

2) The power of literal divided by another power of the same literal is a  power of the literal, the index of which is obtained by subtracting the index of the latter from the index of the former.

aᵐ

aᵐ  ÷ aⁿ  = ------------  =   aᵐ ⁻ ⁿ

aⁿ

3)  If two numbers literals or terms have like signs then their quotient will be positive, if they have unlike signs then the quotient will be negative

Example –  a)   ( + ) ÷ ( + )  = ( + )

b)   ( - ) ÷ ( - )  = ( + )

c)    ( + ) ÷ ( - )  = ( - )

d)    ( - ) ÷ ( + )  = ( - )

Division of a term by a number –

To divide a term by a number, divide the numerical coefficient of the term by the number and write the literals of the term with the quotient

Example –

1)   45 a⁷ ÷ 9  = (45 ÷ 9) a⁷  =   5 a⁷

2)   (- 120) y⁴  ÷ 30  =  (- 120 ÷ 30 ) y⁴  = - 4 y⁴

3)   (- 150) y⁴  ÷ (- 30)   =  {(-150) ÷ (-30 )} y⁴  =  5 y⁴