## anonymous one year ago How can 33 over 9 be expressed as a decimal? 2.3 with bar over 3 3.6 with bar over 6 4.3 with bar over 3 4.6 with bar over 6

1. ♪Chibiterasu

Divide 33 by 9.

2. anonymous

i get 3.666667

3. ♪Chibiterasu

Yeah.

4. ♪Chibiterasu

When a bar is over a number in a decimal that means it repeats.

5. anonymous

so b?

6. anonymous

yeah

7. ♪Chibiterasu

|dw:1442868157605:dw| yes

8. anonymous

ok i have more :)

9. anonymous

Simplify negative 9 over 6 divided by 3 over negative 2.. 3 1 −1 −3

10. anonymous

b?

11. ♪Chibiterasu

$\frac{9}{6 \div \frac{3}{2}}$

12. ♪Chibiterasu

That?

13. anonymous

no this..

14. anonymous

$\frac{ -9 }{ 6 } \div \frac{ 3 }{ -2 }$

15. ♪Chibiterasu

Ok well dividing by a fraction is the same as multiplying by its reciprocal.

16. ♪Chibiterasu

The reciprocal is just the fraction up-side down.

17. ♪Chibiterasu

$\frac{-9}{6} \times \frac{-2}{3}$

18. ♪Chibiterasu

This is the exact same thing.

19. anonymous

right and then when i solve it i get 18/ 18 which equals 1 :)

20. ♪Chibiterasu

Yeah.

21. anonymous

okay next!

22. anonymous

Which of the following numbers can be expressed as repeating decimals? 3 over 7, 2 over 5, 3 over 4, 2 over 9 2 over 9 and 3 over 4 3 over 7 and 2 over 5 2 over 5 and 3 over 4 3 over 7 and 2 over 9

23. ♪Chibiterasu

3/7 2/5 3/4 2/9 Right off the bat we can remove 3/4 because it is common to know this this is 0.75

24. ♪Chibiterasu

It is also known that x/5 is just .2, .4, .6 etc so thats also out.

25. anonymous

ok

26. ♪Chibiterasu

And when you divide the rest.

27. ♪Chibiterasu

3/7 is pretty whacky but it repeats and so does 2/9 so yeah.

28. anonymous

so d?

29. ♪Chibiterasu

Yeah. When you come across something like this you just divide all the fractions and it becomes pretty obvious. :)

30. anonymous

ok :)

31. anonymous

Simplify (−3.5)(−3)(−6.4). −672 −67.2 67.2 672

32. anonymous

c?

33. ♪Chibiterasu

Sorry was afk

34. ♪Chibiterasu

Nope, the result will be negative

35. ♪Chibiterasu

-1 * -1 = 1 1 * -1 = -1

36. anonymous

how

37. anonymous

@♪Chibiterasu

38. anonymous

they are all negative which equals positive

39. anonymous

@♪Chibiterasu

40. ♪Chibiterasu

No

41. ♪Chibiterasu

-0 * -0 = 0 ----> 0 * -0 = -0

42. ♪Chibiterasu

See?

43. anonymous

oh i get it.. so b?

44. ♪Chibiterasu

yeah

45. anonymous

ok next!

46. anonymous

Hillary jogged a total distance of 7 and 1 over 3 miles during the months of October and November. If Hillary only jogged 1 over 6 mile every day, which expression shows the number of days in which she went jogging? 7 and 1 over 3 multiplied by 1 over 6 7 and 1 over 3 plus 1 over 6 7 and 1 over 3 minus 1 over 6 7 and 1 over 3 divided by 1 over 6

47. ♪Chibiterasu

That would involve division to find how long she did it

48. anonymous

d?

49. ♪Chibiterasu

yeah