JayMath3346 JayMath3346
  • 28-10-2019
  • Mathematics
contestada

What is the multiplicative inverse of c d ? Explain how a number is related to its multiplicative inverse.

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slicergiza slicergiza
  • 29-10-2019

Answer:

[tex]\frac{d}{c}[/tex]

Step-by-step explanation:

If a be a real number,

Then the product of a and its multiplicative inverse is equal to the multiplicative identity, i.e. 1,

∵ [tex]a\times \frac{1}{a}=1[/tex]

Thus, the multiplicative inverse of a is [tex]\frac{1}{a}[/tex]

By comparing it,

We found that,

The multiplicative inverse of [tex]\frac{c}{d}[/tex] is [tex]\frac{1}{c/d}[/tex]

i.e. [tex]\frac{d}{c}[/tex]

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