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D is a real number with non terminating digits a1 and a2 after the decimal point. Let D=0.a1a2a1a2.. with a1and a2 both of zero which of the following when multiplied by D will necessarily give an integer ?

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Important Questions on Rational and Irrational Numbers

EASY

Which one of the following is a non - terminating repeating decimal?

EASY

Which one of the following decimal numbers is a rational number with denominator 37?

EASY

Find such number, so that one fourth of the number is 8 more than 5:

EASY
Write 313 in decimal form and say what kind of decimal expansion it has?
MEDIUM

Express 0.136¯ in the form pq, p, q are integers, q0.

MEDIUM
Look at several examples of rational numbers in the form pq q0, where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions). Can you guess, what property q must satisfy?
MEDIUM
Express the mixed recurring decimal 4.32¯ in the form of pq
EASY
Write 111 in decimal form and say what kind of decimal expansion it has?
EASY

Write 211 in decimal form and say what kind of decimal expansion it has?

EASY
Write 36100 in decimal form and say what kind of decimal expansion it has?
 
EASY
Write 329400 in decimal form and say what kind of decimal expansion it has?
EASY

Place value of 3 in 6,380,942 _____ Place value of 3 in 7,389,426

EASY
Identify whether the number 7.478478.... is Rational Number / Irrational Number.
EASY
Express 0.6- in the form pq (in the simplest form), where p and q are integers and q0.
EASY
Write 418 in decimal form and say what kind of decimal expansion each has?