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Equivalent Fractions

Question 60 S...

Question

Question 60

State whether the given statement is True or False.

8 can be written as a rational number with any integer as denominator.

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Solution

False
8 can be written as a rational number with any integer as denominator is false because 8 can be written as a rational number with 1 as denominator i.e. $\frac{8}{1}$

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Question 53

State whether the given statement is True or False.

In a rational number, denominator always has to be a non-zero integer.

Q. In each of the following state if the statement is true (T) or false (F):
(i) The quotient of two integers is always an integer.
(ii) Every integer is a rational number.
(iii) Every rational number is an integer.
(iv) Every fraction is a rational number.
(v) Every rational number is a fraction
(vi) If

\frac{a}{b}

is a rational number and m any integer, then

\frac{a}{b} = \frac{a \times m}{b \times m}

(vii) Two rational numbers with different numerators cannot be equal.
(viii) 8 can be written as a rational number with any integer as denominator.
(ix) 8 can be written as a rational number with any integer as numerator.
(x)

\frac{2}{3} is equal to \frac{4}{6} .

Question 49

State whether the given statement is True or False.

Every integer is a rational number but every rational number need not be an integer.

Question 50

State whether the given statement is True or False.

Every negative integer is not a negative rational number.

Question 58

State whether the given statement is True or False.

Every fraction is a rational number.

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Equivalent Fractions

Standard VI Mathematics

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