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What is additive inverse and multiplicative …

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What is additive inverse and multiplicative inverse

    • Posted by Sujatha Seshadri 5 years, 8 months ago

    CBSE > Class 07 > Mathematics
    • 1 answers

    Yogita Ingle 5 years, 8 months ago

    • Additive inverse: - or minus is the additive inverse for Rational, natural, whole numbers and integers, since adding its additive inverse to a number results in zero.
      • 3 + (-3) = 0
      • (-4/5) + (-(-4/5)) = (-4/5) + 4/5 = 0

    Hence, a + (-a) = (-a) + a = 0, where a can be rational number or natural number or whole number of integer.

    • Multiplicative inverse: Dividing a number by 1 is the multiplicative inverse for Rational, natural, whole numbers and integers, since multiplying it to the original number always results in 1.
      • 3 x 1/3 = 1
      • (-4/5) x (1/(-4/5) = (-4/5) x (-5/4) = 1

    Hence, ax 1/a = 1/a x a = 1, where a can be rational number or natural number or integer.

     

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