bellamollymae bellamollymae
  • 13-04-2018
  • Mathematics
contestada

Prove algebraically that 0.5 recurring =5/9 use x in working

Respuesta :

LammettHash
LammettHash LammettHash
  • 13-04-2018
Suppose [tex]x=0.555\ldots[/tex]. Then [tex]10x=5.555\ldots[/tex]. Subtracting [tex]x[/tex] from [tex]10x[/tex] will drop the fractional part:

[tex]10x-x=9x=5.555\ldots-0.555\ldots=5[/tex]

from which we immediately get [tex]x=\dfrac59[/tex].
Answer Link

Otras preguntas

In 1965, which u.s. president ordered a bombing campaign against north vietnam and sent american ground troops to bolster the south vietnam army?
Carl ordered 2 pants at $22.54 and 2 shirts at $19.89 each. With a sales tax of 6% and shipping below, what was his total order? SHIPPING CHARGES: Up to $25 -
Henry Kissinger served as Secretary of State under President: Eisenhower Truman Nixon
What is the mass of 22.4 L of H2O at STP? A. 18.02/mol B. 1.24 g/mol C. 24 g/mol D. 100 g/mol
What are the differences between outline, contour and implied line? Explain.
Post-test you estimate that there are 48 marbles in a jar. the actual amount is 36 marbles. find the percent error
the length of a rectangle is 13 centimeters more than its width
Anyone know the answer?
Find the sum of the first 10 terms in the series: -3, 9, -27, 81...
Rodney bought a 25- pound bag of dog food . His dog ate 10 2/5 pounds of the food in the first month and 10 4/5 pounds of the food in the second month. How much