Mathematics>Arithmetic>Number Systems>Real Numbers and their Decimal Expansions

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Earn 100

Insert two irrational numbers between $2$ and $3$ .

Important Questions on Number Systems

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Mathematics>Arithmetic>Number Systems>Real Numbers and their Decimal Expansions

In following, identify the rational number:

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Mathematics>Arithmetic>Number Systems>Real Numbers and their Decimal Expansions

From the given rational numbers, _____ will have non-terminating recurring decimal

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Mathematics>Arithmetic>Number Systems>Real Numbers and their Decimal Expansions

In following, the rational number is

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Mathematics>Arithmetic>Number Systems>Real Numbers and their Decimal Expansions

Without actually performing the long division, state whether the rational number

\frac{35}{50}

will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

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Mathematics>Arithmetic>Number Systems>Real Numbers and their Decimal Expansions

If

\frac{a}{b}

is a rational number

(b \neq 0)

in its lowest form, then what is the condition on

b

so that the decimal representation of

\frac{a}{b}

is terminating?

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Mathematics>Arithmetic>Number Systems>Real Numbers and their Decimal Expansions

\sqrt{121}

is :

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Mathematics>Arithmetic>Number Systems>Real Numbers and their Decimal Expansions

The terminating decimal expansion of the number

\frac{337}{125}

is _____

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Mathematics>Arithmetic>Number Systems>Real Numbers and their Decimal Expansions

What kind of decimal expansion has the number

4 \frac{1}{8}

?

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Mathematics>Arithmetic>Number Systems>Real Numbers and their Decimal Expansions

The number of decimal places after which the decimal expansion of the rational number

\frac{14588}{625}

will terminate is

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Mathematics>Arithmetic>Number Systems>Real Numbers and their Decimal Expansions

Which of the following is a rational number?

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Mathematics>Arithmetic>Number Systems>Real Numbers and their Decimal Expansions

State whether the decimal expansion of a rational number

\frac{7}{80}

is terminating or non terminating recurring. Without performing the long division method.

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Mathematics>Arithmetic>Number Systems>Real Numbers and their Decimal Expansions

The square root of which of the following is a rational number?

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Mathematics>Arithmetic>Number Systems>Real Numbers and their Decimal Expansions

The decimal expansion of the number

\frac{14588}{8750}

will

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Mathematics>Arithmetic>Number Systems>Real Numbers and their Decimal Expansions

Which of the following is a terminating decimal?

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Mathematics>Arithmetic>Number Systems>Real Numbers and their Decimal Expansions

Number

r

is termed as Rational number if it can be expressed as

\frac{p}{q}

, where

p

and

q

are integers and,

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Mathematics>Arithmetic>Number Systems>Real Numbers and their Decimal Expansions

$3.27$ is

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Mathematics>Arithmetic>Number Systems>Real Numbers and their Decimal Expansions

Which one of the following decimal expansion is not terminating ?

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Mathematics>Arithmetic>Number Systems>Real Numbers and their Decimal Expansions

The decimal expansion of $\frac{2517}{6250}$ will terminate after _____ digits.

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Mathematics>Arithmetic>Number Systems>Real Numbers and their Decimal Expansions

Find a rational number between

\sqrt{2}

and

\sqrt{3}

.

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Mathematics>Arithmetic>Number Systems>Real Numbers and their Decimal Expansions

The square root of which of the following is a rational number?