Answer:
499/999
Step-by-step explanation:
The decimal number written is:
0.499...
Such that these 3 decimals are repeated as:
0.499499499...
Let's define this number as k
k = 0.499...
Let's multiply this number by 1000 (the same number of zeros as important decimals after the decimal point)
we get:
1000*k = (1000)*(0.499...) = 499.499...
Now we can subtract the original number k, so we get:
1000*k - k = 499.499... - 0.499...
In this way, we remove the part after the decimal point:
1000*k - k = 499.499... - 0.499...
(1000 - 1)*k = 499
999*k = 499
Now we can divide both sides by 999
(999*k)/999 = 499/999
k = 499/999
The fraction notation of our number is 499/999 (and this is the simplest form)
The table answers for the first equation are
-5.5
-3
-.5
2
3.5
The table answers for the second equation are
16
8
4
0
-4
Answer:
Step-by-step explanation:
First both the rational numbers should have same denominators. So, find least common denominator
Least common denominator is 10
![\frac{-1}{5}=\frac{-1*2}{5*2}=\frac{-2}{10}\\\\\\\frac{1}{2}=\frac{1*5}{2*5}=\frac{5}{10}\\\\\\](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B5%7D%3D%5Cfrac%7B-1%2A2%7D%7B5%2A2%7D%3D%5Cfrac%7B-2%7D%7B10%7D%5C%5C%5C%5C%5C%5C%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B1%2A5%7D%7B2%2A5%7D%3D%5Cfrac%7B5%7D%7B10%7D%5C%5C%5C%5C%5C%5C)
Now multiply the numerator and denominators of the both the numbers by 10.
![\frac{-2*10}{10*10}= \frac{-20}{100} \ and \ \frac{5*10}{10*10}=\frac{50}{100}\\\\\\Now\ 10 \ rational \ numbers \ between\frac{-20}{10} \ and \ \frac{50}{100} \ is \\\\\\\frac{-19}{100},\frac{-18}{100},\frac{-17}{100},\frac{-16}{100}.\frac{-15}{100},\frac{-14}{100},\frac{-13}{100},\frac{-12}{100},\frac{-11}{100};\frac{-10}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B-2%2A10%7D%7B10%2A10%7D%3D%20%5Cfrac%7B-20%7D%7B100%7D%20%5C%20and%20%5C%20%5Cfrac%7B5%2A10%7D%7B10%2A10%7D%3D%5Cfrac%7B50%7D%7B100%7D%5C%5C%5C%5C%5C%5CNow%5C%2010%20%5C%20rational%20%20%5C%20numbers%20%5C%20between%5Cfrac%7B-20%7D%7B10%7D%20%5C%20and%20%5C%20%5Cfrac%7B50%7D%7B100%7D%20%5C%20is%20%5C%5C%5C%5C%5C%5C%5Cfrac%7B-19%7D%7B100%7D%2C%5Cfrac%7B-18%7D%7B100%7D%2C%5Cfrac%7B-17%7D%7B100%7D%2C%5Cfrac%7B-16%7D%7B100%7D.%5Cfrac%7B-15%7D%7B100%7D%2C%5Cfrac%7B-14%7D%7B100%7D%2C%5Cfrac%7B-13%7D%7B100%7D%2C%5Cfrac%7B-12%7D%7B100%7D%2C%5Cfrac%7B-11%7D%7B100%7D%3B%5Cfrac%7B-10%7D%7B100%7D)
Answer:
Pepper Jackie still has 5.8
Step-by-step explanation:
If this is a english problem instead of a math problem to correct the sentence it would be Pepper Jackie has 5.8