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contestada

A ) Find the reciprocal of -1 1/17
B) Find the reciprocal of - 17/18

Explain why the answer for part a is the multiplicative inverse of the answer for part b

Respuesta :

Answer:

see explanation

Step-by-step explanation:

The reciprocal of a number n is [tex]\frac{1}{n}[/tex]

- 1 [tex]\frac{1}{17}[/tex] ( change to improper fraction )

= - [tex]\frac{18}{17}[/tex]

The reciprocal is then  [tex]\frac{1}{-\frac{18}{17} }[/tex] = - [tex]\frac{17}{18}[/tex]

B

The reciprocal of - [tex]\frac{17}{18}[/tex] is - [tex]\frac{18}{17}[/tex]

The product of a number and its multiplicative inverse equal one , so

- [tex]\frac{17}{18}[/tex] × - [tex]\frac{18}{17}[/tex] = 1

Then (a) is the multiplicative inverse of (b)

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