Sign In
Ask Question
Nola Boone
Mathematics
22 October, 19:39
Show that 30.1111 ... is a rational number.
+2
Answers (
1
)
Dana Mcdonald
22 October, 19:51
0
We know that 30.1111 ... is a rational number because it ends in repeating decimals. We can show this by writing the number as a fraction using algebra.
x = 30.1111 ...
10x = 301.1111 ...
Subtract both sides by x
10x - x = 301.1111 ... - 30.1111 ...
9x = 271
x = 271/9
The number can be rewritten as 271/9, which you can verify is the same number by checking on a calculator.
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Find an answer to your question 👍
“Show that 30.1111 ... is a rational number. ...”
in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers
You Might be Interested in
Use the descriminant to describe the roots of each equation. Then select the best description. 16x^2+8x+1=0
Answers (1)
If f (x) = - 5 * - 4 and g (x) = - 3x - 2, find (f - g) (x). O A. ( - 9) () = - 2x-2 O B. (f - g) (x) = - 5x + 3x - 2 O c. (f - g) (x) = - 5x - 3x - 6 O D. (f - g) (x) = 5 * - 3x + 2
Answers (1)
Mac picked four baskets of blueberries. The weights of the berries in pounds are given below. order the weights from lightest to heaviest: 5/4, 9/10, 4/5, 13/20.
Answers (1)
Can someone answer this 5*12 = (5*9) + (5*_) =
Answers (1)
Factor completely. 10x^3 + 2x^2 + 5x + 1
Answers (1)
New Questions in Mathematics
What is the equation of a line in slope-intercept form with a slope of - 3/4 and a y-intercept of - 2
Answers (1)
What is y=-2x+1 y=-x^2+4
Answers (1)
Leigh will use 16 connecting cubes to make a model of a playground. The model will be in the shape of a rectangle and will have a height of one cube. In how many different ways can Leigh make the model of the playground?
Answers (1)
The ratio of chocolate cones to vanilla cones sold at an ice cream shop is 5:4. If 54 cones were sold, how many were chocolate?
Answers (1)
62dividw 7 what remains number
Answers (1)
Home
»
Mathematics
» Show that 30.1111 ... is a rational number.
Sign In
Sign Up
Forgot Password?