Advertisements
Advertisements
प्रश्न
Express the following decimal in the form `p/q`: `0.bar621`
उत्तर
Let `x=0.bar621`
⇒ x = 0.621621621...
⇒ 1000x = 621.621621...
⇒ 1000x = 621 + 0.621621...
⇒ 1000x = 621 + x
⇒ 1000x - x = 621
⇒ 999x = 621
⇒ x = 621/999 = 207/333
⇒ x = 23/37
Hence, `0.bar621=23/37`
APPEARS IN
संबंधित प्रश्न
Is zero a rational number? Can you write it in the form `p/q`, where p and q are integers and q ≠ 0?
State whether the following statement is true or false. Give reasons for your answer.
Every rational number is a whole number.
Express the following decimal in the form `p/q` : 0.750
Express the following decimal in the form `p/q` : 2.15
Express the following decimal in the form `p/q`:
7.010
Express the following decimal in the form `p/q`: 1.0001
Express the following decimal in the form `p/q`: `0.bar37`
Express the following decimal in the form `p/q`: `4.bar7`
Complete the following sentence:
The decimal form of an irrational number is neither ________ nor _________
Find whether the following statement is true or false.
Irrational numbers cannot be represented by points on the number line.