Which type of number is 11.23456?

Correct option is C

Step 1: Identify the type of number

1. Irrational number: A number that cannot be expressed as a simple fraction and has a non-repeating, non-terminating decimal expansion. Example: pi, sqrt(2).

2. Integer number: A whole number, either positive, negative, or zero. It does not have any fractional or decimal part. Example: -3, 0, 5.

3. Rational number: A number that can be expressed as the ratio of two integers (i.e., in the form p/q where q ≠ 0). Rational numbers either terminate or repeat in their decimal expansion. Example: 1/2, 0.75, 11.23456.

Step 2: Classify the number 11.23456

The number 11.23456 has a finite decimal expansion, meaning it terminates after a certain number of digits. This is a rational number because any number with a terminating decimal can be expressed as the ratio of two integers.

Final Answer:

Option C) a rational number