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Property 1 if p/q is a rational number ...

Property 1 if `p/q ` is a rational number and m is a non -zero integer then `p/q = (p xx m) / ( q xx m )`

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State whether the statements given are True or False. If (p)/(q) is a rational number and m is a non-zero integer, then (p)/(q) = (p xx m)/( q xx m)

State whether the statements given are True or False. If (p)/(q) is a rational number and m is a non-zero integer, then (p xx m)/( q xx m) is a rational number not equivalent to (p)/(q) .

Knowledge Check

  • A rational number is expressed is ……….where p and q are integers and q*0

    A
    pq
    B
    `p+q`
    C
    `p-q`
    D
    `(mu/q)`

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    Explore conceptually related problems

    Property 2 if p/q is a rational number and m is a common divisor of p and q then p/q=(p-:m)/(q-:m)

    State whether the statements give are True or False. If (p)/(q) is a rational number and m is a non-zero common divisor of p and q, then (p)/(q) = (p div m)/( q div m)

    If a is any real number and m;n are positive integers; then (a^p)^q = a^(pq) = (a^q)^p

    If a is any real number and m;n are positive integers; then a^(p)xx a^(q)=a^(p+q)

    If (p)/(q) is a rational number, then p cannot be equal to zero.

    If a is any real number and m;n are positive integers; then (a^(p))/(a^(q))=a^(p-q)

    Generalisation : if a is a non - zero rational number and mnp are natural numbers then a^(m)xx a^(n)xx a^(p)=a^(m)+n+p

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