## 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.

1. anonymous

@Michele_Laino @Nnesha

2. anonymous

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

3. Michele_Laino

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

4. anonymous

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

5. Michele_Laino

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

6. anonymous

ohhhhh ok

7. Michele_Laino

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

oh so wouldnt it have to be 78/10?

9. anonymous

its the only one in between lol

10. anonymous

7.8

11. Michele_Laino

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

12. anonymous

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

13. Michele_Laino

we have to find an irrational number