ssalazc5554 ssalazc5554
  • 01-10-2019
  • Mathematics
contestada

is the product of x and y rational or irrational?


When x = 0.75 and y = 0.82

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chyanebbjackp8hr61 chyanebbjackp8hr61
  • 01-10-2019
Rational number is part of a whole number therefore both of them are rational
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jimrgrant1 jimrgrant1
  • 01-10-2019

Answer:

rational

Step-by-step explanation:

A rational number can be expressed in the form

[tex]\frac{a}{b}[/tex] ← where a and b are integers

Given

0.75 × 0.82

= [tex]\frac{75}{100}[/tex] × [tex]\frac{82}{100}[/tex]

= [tex]\frac{3}{4}[/tex] × [tex]\frac{41}{50}[/tex]

= [tex]\frac{3(41)}{4(50)}[/tex]

= [tex]\frac{123}{200}[/tex] ← rational number

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