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?
0.120120012000120000. . .
Solution
0.120120012000120000. . .
It is an irrational number as it is non-terminating and non-repeating.
APPEARS IN
RELATED QUESTIONS
State whether the following rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion:
`13/3125`
State whether the given statement is true or false:
1 . The product of two rationals is always rational
Write the decimal expansion of `73/ ((2^4×5^3))`
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.
Write the condition to be satisfied by q so that a rational number\[\frac{p}{q}\]has a terminating decimal expansions.
Complete the missing entries in the following factor tree.
The decimal expansion of the rational number \[\frac{43}{2^4 \times 5^3}\] will terminate after how many places of decimals?
What is an algorithm?
State whether the following rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion:
`35/50`
The decimal expansion of the rational number `97/(2 xx 5^4)` will terminate after ______.