$CATEGORY: Maths - TicTacLearn/1. Real Numbers/1. Real Numbers--Revisiting Irrational Numbers

//Multiple Choice

The number 3+ 2√5 is {
= Irrational
~ Rational
~ Rational and Irrational
~ None of the above
}

The number  1/ √2 is {
= Irrational
~ Rational
~ Rational and Irrational
~ None of the above
}

The number  7 √5 is {
= Irrational number
~ Rational number
~ Irrational and Rational number
~ None of the above
}

The number  6+√2 is {
= Irrational number
~ Rational number
~ Rational and Irrational number
~ None of the above
}

The real number with decimal expansion 43.123456789 is {
~ Irrational number
= Rational number
~ Irrational Number and Rational number
~ None of the above
}

The real number with decimal expansion 0.120120012000120000… is {
= Irrational number
~ Rational number
~ Irrational Number and Rational number
~ None of the above
}

//True or False

Every irrational number is a real number {T}

Every real number is an irrational number {F}

The square roots of all positive integers are not irrational numbers. {T}

The real numbers which cannot be  expressed in the form of p/q, where p and q are integers and q ≠ 0 are known as irrational numbers {T}

Pi (π) is an irrational number. {T}

Rational numbers (Q) and Irrational numbers (P or Q’ ) are always alternate with each other. {T}

The addition of an irrational number and a rational number gives an irrational number.  {T}

The addition or the multiplication of two irrational numbers may be rational. {T}

Given p is a prime number and a2 is divisible by p, (where a is any positive integer), then it can be concluded that p also divides a. {T}

For any prime number p,√ p is irrational. {T}

Integers are rational numbers but not irrational. {T}

Every rational number is a whole number. {F}

Every integer is a whole number. {F}

//Numericals

If x\= 3√2 and y\= 2√2, what is x-y {
= √2
~ 5√2
~ 6√2
~ √4
}

Every natural number is a whole ___number. {
= Whole
~ Prime
~ Rational
~ All of the above
}

p is a prime number, then √p is an ___ number. {
= Irrational
~ Rational
~ Whole number
~ None of the above
}

Multiplication of any irrational number with any nonzero rational number results in an ___number {
= Irrational
~ Rational
~ Prime
~ None of the above
}

//Fill in the blanks

  5 + 3√2 is ___ number {
~ Whole
~ Rational
= Irrational
~ None of the above
}

//Match the following

Match the following items from Column A with their correct corresponding options from Column B\:
{
=√5 is -> Real Numbers that cannot be expressed in the form of a fraction p/q
=Irrational numbers are a subset of ->an irrational number
=p and q are integers and where the denominator q ->q is not equal to zero
=Pi (π) -> is an irrational number
}



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