Mathematics, 11.07.2019 14:30 destinywashere101

Which of the following statements is false? if a number is a natural number, then it is rational. if a number is a whole number, then it is rational. if a number is a fraction, then it is rational. if a number is an integer, then it is irrational.

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Answer from: BakedBiscuit6896

If a number is an integer, then it is irrational.

Step-by-step explanation:

If a number is a natural number, then it is rational.

True, since set of natural numbers are contained in set of rationals.

If a number is a whole number, then it is rational.

True, since set of whole number are contained in set of rationals.

If a number is a fraction, then it is rational.

True, since rationals contains all the fraction p/q where q≠0.

If a number is an integer, then it is irrational.

The set of integers is given by :-

$(\mathbb{Z})={.......-3,-2,-1,0,1,2,3,....}$

The set of irrational numbers contains numbers which cannot be expressed as the ratio of integers also they are non-repeating and non-terminating decimals.

Clearly, the set of integers is not contained in set of irrational numbers.

Therefore, The wrong statement is "If a number is an integer, then it is irrational."

Which of the following statements is false? if a number is a natural number, then it is rational. i

Answer from: Quest

alot

step-by-step explanation:

its a wood chuck that can chuck wood

Answer from: Quest

a) one student is chosen from classroom a, then a student is chosen from classroom b.

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b. this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes. this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes. this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes. this makes them dependent events.

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