43.010110111 is:

Options

A. a rational number
B. an Irrational number
C. cannot say
D. an Integer

Explanation

To determine the nature of the number 43.010110111, we will analyze it step by step.

### Step 1: Identify the Number Type
The number given is 43.010110111. We need to identify whether this number is an integer, a rational number, or an irrational number.

### Step 2: Check for Integer
An integer is a whole number that can be positive, negative, or zero, but does not have any decimal or fractional part. Since 43.010110111 has a decimal part (0.010110111), it cannot be classified as an integer.

**Hint:** Remember that integers do not have decimal points.

### Step 3: Check for Rational Number
A rational number is defined as a number that can be expressed as a fraction of two integers, or a number that has a terminating or repeating decimal.

- The decimal part of the number is 0.010110111, which does not terminate and does not repeat. It continues indefinitely without forming a repeating pattern.

**Hint:** A rational number can be expressed as a fraction, and its decimal representation either terminates or repeats.

### Step 4: Check for Irrational Number
An irrational number is a number that cannot be expressed as a fraction of two integers. Its decimal representation is non-terminating and non-repeating. Since the decimal 0.010110111 does not terminate and does not repeat, it fits the definition of an irrational number.

**Hint:** If a decimal goes on forever without repeating, it is likely irrational.

### Conclusion
Since 43.010110111 has a decimal that does not terminate or repeat, we conclude that it is an **irrational number**.

**Final Answer:** The number 43.010110111 is an **irrational number**.