Advertisements
Advertisements
Question
The following real number have decimal expansions as given below. In the following case, decide whether it is rational or not. If it is rational, and of the form p/q what can you say about the prime factors of q?
43.123456789
Solution
43.123456789
It is a rational number and q will have factors of 2 and 5 only.
APPEARS IN
RELATED QUESTIONS
Classify the numbers 3.1416 as rational or irrational :
State whether the given statement is true or false:
1 . The product of two rationals is always rational
Express 0.`bar (23)` as a rational number in simplest form.
Without actually performing the long division, state whether state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion.
Without actually performing the long division, state whether state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion.
What can you say about the prime factorisations of the denominators of the following rationals: 43.123456789
What can you say about the prime factorisations of the denominators of the following rationals: \[43 . 123456789\]
What is an algorithm?
Write the denominator of the rational number `257/5000` in the form 2m × 5n, where m, n are non-negative integers. Hence, write its decimal expansion, without actual division.
The following real number have decimal expansions as given below. In the following case, decide whether it is rational or not. If it is rational, and of the form p/q what can you say about the prime factors of q?
`43.bar(123456789)`
