Advertisements
Advertisements
प्रश्न
Express the following in the form `p/q`, where p and q are integers and q ≠ 0:
`5.bar2`
Advertisements
उत्तर
Let `x = 5.bar2 = 5.222`... ...(i)
On multiplying both sides of equation (i) by 10, we get
10x = 52.222.......... ...(ii)
On subtracting equation (i) from equation (ii), we get
10x – x = (52.222...) – (5.222...)
⇒ 9x = 47
∴ `x = 47/9`
APPEARS IN
संबंधित प्रश्न
Write the following in decimal form and say what kind of decimal expansion has:
`36/100`
You know that `1/7=0.bar142857.` Can you predict what the decimal expansions of `2/7, 3/7, 4/7, 5/7, 6/7` are, Without actually doing the long division? If so, how?
[Hint: Study the remainders while finding the value of `1/7` carefully.]
Express the following in the form `p/q`, where p and q are integers and q ≠ 0.
`0.bar6`
Look at several examples of rational numbers in the form `p/q` (q≠0), where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions). Can you guess what property q must satisfy?
Which of the following numbers can be represented as non-terminating, repeating decimals?
`2sqrt(3) + sqrt(3)` is equal to ______.
Express the following in the form `p/q`, where p and q are integers and q ≠ 0:
`0.bar001`
Express the following in the form `p/q`, where p and q are integers and q ≠ 0:
0.00323232...
Express `0.6 + 0.bar7 + 0.4bar7` in the form `p/q`, where p and q are integers and q ≠ 0.
Express the following in the form `bb(p/q)`, where p and q are integers and q ≠ 0.
`0.4bar7`
