Saved Bookmarks
| 1. |
a rational number in it's decimal expansion is 327.7081. what can you say about the prime factors of q, when this number is expressed in the form of p/q? give reasons. |
|
Answer» If the factors of denominator of the given rational number is of form 2ⁿ 5^m ,where n and m are non negative integers, then the decimal expansion of the rational number is terminating otherwise non terminating recurring.We know that a rational number has either terminating or non terminating repeating decimal expansion. SOLUTION:Here, 327.7081 has terminating decimal expansion so it represents a rational number.327.7081= 3277081/10000= p/qThus q=10⁴ , whose factors are 2⁴ × 5⁴. |
|