Example 8 : Show that 1.272727... = 1.27 can be expressed in the form

1.	Example 8 : Show that 1.272727... = 1.27 can be expressed in the form whereрqand q are integers and q +0.
Answer» Answer: 1.272727..= $\frac{126}{99}$ Step-by-step explanation: Concept: A NUMBER of the form p/Q , where p and q are integers and q not EQUAL to zero is called rational number. Any rational number can be written as a terminating decimal expansion or non-terminating decimal expansion. Let X=1.272727272727. (1) MULTIPLY both sides by 100 100x=127.272727. .(2) subtract (1) from (2) 100x - x = 126 99x = 126 $x=\frac{126}{99}$

Example 8 : Show that 1.272727... = 1.27 can be expressed in the form whereрqand q are integers and q +0.

Answer»

Answer:

1.272727..=

$\frac{126}{99}$

Step-by-step explanation:

Concept:

A NUMBER of the form p/Q , where p and q are integers and q not EQUAL to zero is called rational number.

Any rational number can be written as

a terminating decimal expansion or non-terminating decimal expansion.

Let

X=1.272727272727. (1)

MULTIPLY both sides by 100

100x=127.272727. .(2)

subtract (1) from (2)

100x - x = 126

99x = 126

$x=\frac{126}{99}$

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Example 8 : Show that 1.272727... = 1.27 can be expressed in the form whereрqand q are integers and q +0.​

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Example 8 : Show that 1.272727... = 1.27 can be expressed in the form whereрqand q are integers and q +0.