## nuccioreggie one year ago Convert 5.764764764 … to a rational expression in the form of a over b, where b ≠ 0. 5 and 764 over 999 5764 over 9999 5 and 764 over 99 5 and 999 over 764

1. nuccioreggie

@peachpi help i think its B

2. freckles

$x=5.764\overline{764} \\ \text{ multiply both sides by }1000 \\ 1000x=5.764 \overline{764} \\ \text{ now subtract} x \text{ 's value from }1000x \text{'s value }$

3. nuccioreggie

so B

4. freckles

oops forgot to move the decimal

5. freckles

$x=5.764\overline{764} \\ \text{ multiply both sides by }1000 \\ 1000x=5764. \overline{764} \\ \text{ now subtract} x \text{ 's value from }1000x \text{'s value }$

6. nuccioreggie

OH OK SO ITS c

7. freckles

|dw:1441065633387:dw|

8. nuccioreggie

its C?

9. freckles

solve the equation for x to find out

10. freckles

err i'm dyslexic |dw:1441065756301:dw| but you should get the idea

11. nuccioreggie

so its A?

12. nuccioreggie

@freckles

13. nuccioreggie

@freckles itss A right

14. freckles

we can find out 1000x-x=? and 5764-5=?

15. nuccioreggie

5759

16. freckles

and 1000x-x=999x correct?

17. freckles

|dw:1441066119298:dw|

18. nuccioreggie

so it it B??????/

19. freckles

$\frac{5759}{999}=\frac{5(999)+764}{999}=\frac{5(999)}{999}+\frac{764}{999}$

20. nuccioreggie

OH I KNOW THE ANSWER ITS A thanks @freckles

21. freckles

lol yes you makes a lot of guesses

22. nuccioreggie

lol

23. dan815

|dw:1441066476932:dw|

24. nuccioreggie

Order the set of numbers from least to greatest: 2.71 repeating 71, 2 and 3 over 4, square root 5, 5 over 2 2.71 repeating 71, 2 and 3 over 4, square root 5, 5 over 2. square root 5, 5 over 2, 2.71 repeating 71, 2 3 over 4 5 over 2, square root 5, 2.71 repeating 71, 2 3 over 4 2 3 over 4, 2.71 repeating 71, 5 over 2, square root 5

25. nuccioreggie

@dan815

26. dan815

you can solve as that geometric series thing too if ud like

27. nuccioreggie

ok but can you tell me the last one i just put there please

28. dan815

rewrite the repeating one as a fractions

29. dan815

and square the numbers for example if a<sqrt(b) then a^2<b this still holds if we square both sides so we can use this property even thought we dont know what sqrt 5 exactly is

30. nuccioreggie

so itd D?

31. nuccioreggie

for the second question?

32. nuccioreggie

i ment B Sorry