Question

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.

Answer 1

@Michele_Laino @Nnesha

Answer 2

ok so this is weird i dont know how to start or what to do... :(

Answer 3

If I call with q the rational number, we have:
\[\Large 7.7 = \frac{{77}}{{10}} < q < \frac{{79}}{{10}} = 7.9\]

Answer 4

can you do this step by step please? i dont understand

Answer 5

we can write this:
\[7.7 = \frac{{77}}{{10}}\] and
\[\frac{{79}}{{10}} = 7.9\]

Answer 6

ohhhhh ok

Answer 7

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

Answer 8

oh so wouldnt it have to be 78/10?

Answer 9

its the only one in between lol

Answer 10

7.8

Answer 11

correct, a possible choice for q is 78/10= 39/5

Answer 12

ohh ok ill come back later and write the answer but i have another and i think the last question:)

Answer 13

we have to find an irrational number