Question

what are the three types of decimal expansions of rational number ? Give example of each .​

Answer 1

Answer:

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Answer 2

Decimal Expansion of Rational Numbers:

• A number in the form p/q or a number that can be expressed in the form p/q where p and q are integers, and q≠0 is called a rational number.
• A rational number can be expressed as a decimal number. The decimal form of a rational number can be terminating or non-terminating.

EXAMPLE

• Select the decimal expansion of rational numbers from the following. 1.444444…,1.4,5.67432145…

AÑSWER

• 1.444444… is non terminating recurring decimal. 1.4 is the decimal expansion form of a rational number.

• But 5.67432145…. is a non-recurring and non-terminating decimal. So, it can not be expressed as a rational number.

• Therefore, the decimal expansion of rational numbers is 1.4,1.44444….