Advertisements
Advertisements
प्रश्न
Express the following in the form `bb(p/q)`, where p and q are integers and q ≠ 0.
`0.4bar7`
उत्तर
Let `x = 0.4bar7`
x = 0.477777 ...(1)
On multiplying equation (1) by 10
⇒ 10x = 4.777 ...(2)
On multiplying equation (2) by 10
⇒ 100x = 47.777
⇒ 100x = 43 + 4.7777
⇒ 100x = 43 + 10x ...[From equation (2)]
⇒ 100x - 10x = 43
⇒ 90x = 43
⇒ `x = 43/90`
∴ `0.4bar7 = 43/90`
APPEARS IN
संबंधित प्रश्न
Express 0.99999 .... in the form `p/q`. Are you surprised by your answer? With your teacher and classmates discuss why the answer makes sense.
The decimal expansion of the number `sqrt(2)` is ______.
The value of 1.999... in the form `p/q`, where p and q are integers and q ≠ 0, is ______.
`2sqrt(3) + sqrt(3)` is equal to ______.
Express the following in the form `p/q`, where p and q are integers and q ≠ 0:
0.2
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:
0.404040...
Express `0.6 + 0.bar7 + 0.4bar7` in the form `p/q`, where p and q are integers and q ≠ 0.
Write the following in decimal form and say what kind of decimal expansion has:
`1/11`
Express the following in the form `bb(p/q)`, where p and q are integers and q ≠ 0.
`0.bar001`
