Advertisements
Advertisements
Question
State whether the following rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion:
`77/210`
Solution
`77/210 = 11/30`
= `11/(3 xx 5 xx 2)`
Since the denominator has factor other than 2 and 5 it is a non-terminating decimal
APPEARS IN
RELATED QUESTIONS
Classify the numbers `3. bar(142857)` as rational or irrational :
State whether the given statement is true or false:
1 . The product of two rationals is always rational
What can you say about the prime factorisations of the denominators of the following rationals: 0.120120012000120000 ...
Write 98 as product of its prime factors.
What is an algorithm?
What is the total number of factors of a prime number?
Write down the decimal expansion of the following number which have terminating decimal expansion.
`13/3125`
Write down the decimal expansion of the following number which have terminating decimal expansion.
`6/15`
Without actually performing the long division, find if `987/10500` will have terminating or non-terminating (repeating) decimal expansion. Give reasons for your answer.
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)`
