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anonymous

  • one year ago

Find a rational number and an irrational number that are between 7.7 and 7.9. Include the decimal approximation of the irrational number to the nearest hundredth.

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  1. anonymous
    • one year ago
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    @Michele_Laino @Nnesha

  2. anonymous
    • one year ago
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    ok so this is weird i dont know how to start or what to do... :(

  3. Michele_Laino
    • one year ago
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    If I call with q the rational number, we have: \[\Large 7.7 = \frac{{77}}{{10}} < q < \frac{{79}}{{10}} = 7.9\]

  4. anonymous
    • one year ago
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    can you do this step by step please? i dont understand

  5. Michele_Laino
    • one year ago
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    we can write this: \[7.7 = \frac{{77}}{{10}}\] and \[\frac{{79}}{{10}} = 7.9\]

  6. anonymous
    • one year ago
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    ohhhhh ok

  7. Michele_Laino
    • one year ago
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    so a rational number which is between 7.7 and 7.9, also checks this equivalent condition: \[\Large 7.7 < q < 7.9 \Rightarrow \frac{{77}}{{10}} < q < \frac{{79}}{{10}}\]

  8. anonymous
    • one year ago
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    oh so wouldnt it have to be 78/10?

  9. anonymous
    • one year ago
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    its the only one in between lol

  10. anonymous
    • one year ago
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    7.8

  11. Michele_Laino
    • one year ago
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    correct, a possible choice for q is 78/10= 39/5

  12. anonymous
    • one year ago
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    ohh ok ill come back later and write the answer but i have another and i think the last question:)

  13. Michele_Laino
    • one year ago
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    we have to find an irrational number

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