Advertisements
Advertisements
प्रश्न
Express the following in the form `p/q`, where p and q are integers and q ≠ 0:
0.00323232...
Advertisements
उत्तर
Let x = 0.00323232 ...(i)
On multiplying both sides of equation (i) by 100, we get
100x = 0.3232......... ...(ii)
On multiplying both sides of equation (ii) by 100, we get
10000x = 32.3232......... ...(iii)
On subtracting equation (ii) from equation (iii), we get
10000x – 100x = 32.32....... – 0.3232....
⇒ 9900x = 32
∴ `x = 32/9900 = 8/2475` ...[Dividing numerator and denominator by 4]
APPEARS IN
संबंधित प्रश्न
Express the following in the form `p/q`, where p and q are integers and q ≠ 0.
`0.bar6`
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 value of 1.999... in the form `p/q`, where p and q are integers and q ≠ 0, is ______.
There are numbers which cannot be written in the form `p/q, q ≠ 0, p, q` both are integers.
Express the following in the form `p/q`, where p and q are integers and q ≠ 0:
`0.bar001`
Show that 0.142857142857... = `1/7`
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:
`4 1/8`
Write the following in decimal form and say what kind of decimal expansion has:
`2/11`
Write the following in decimal form and say what kind of decimal expansion has:
`329/400`
