4 1/8 in decimal form:
To express 4 1/8 in decimal form, we need to convert the fraction 1/8 into a decimal.

Converting 1/8 to decimal:
To convert a fraction to a decimal, we divide the numerator by the denominator.

1 ÷ 8 = 0.125

Therefore, 1/8 is equal to 0.125 in decimal form.

Writing 4 1/8 in decimal form:
Now that we have converted 1/8 to decimal, we can write 4 1/8 in decimal form by adding the whole number part (4) and the decimal part (0.125) together.

4 + 0.125 = 4.125

Hence, 4 1/8 in decimal form is 4.125.

Decimal Expansion of Real Numbers:
The decimal expansion of a real number is the representation of a number using decimal notation. It can be either terminating or non-terminating.

Terminating Decimal:
A terminating decimal is a decimal number that has a finite number of digits after the decimal point. In other words, the decimal expansion of a terminating decimal ends after a certain number of decimal places. For example, 0.25 and 3.75 are terminating decimals because they have a fixed number of decimal places.

Non-terminating Decimal:
A non-terminating decimal is a decimal number that continues indefinitely without repeating. It means the decimal expansion of a non-terminating decimal goes on forever without a pattern. For example, the decimal expansion of π (pi) is a non-terminating decimal.

Conclusion:
In conclusion, 4 1/8 in decimal form is 4.125. The decimal expansion of a real number can be either terminating or non-terminating. Terminating decimals have a finite number of digits after the decimal point, while non-terminating decimals continue indefinitely without repeating.

41/8=5.125. it is terminating and nonrecurring decimal..