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What is the decimal expansion of an irrational no. is?
It is the decimal approximation to the value of the irrational number.
Is every decimal number an irrational number?
No.
How is the decimal of an irrational number different from the decimal of a rational number?
The difference is that rational numbers stay with the same numbers. Like the decimal 1.247247247247... While an irrational number is continuous but does not keep the same numbers. Like the decimal 1.123456789...
Is 0.958327 a irrational number?
It is a rational number because it is a terminating decimal number
A repeating decimal is an irrational number?
Actually, a repeating decimal is not necessarily an irrational number. A repeating decimal is a decimal number that has a repeating pattern of digits after the decimal point. While some repeating decimals can be irrational, such as 0.1010010001..., others can be rational, like 0.3333... which is equal to 1/3. Irrational numbers are numbers that cannot be expressed as a simple fraction, and they have non-repeating, non-terminating decimal representations.
