2 4/9 as a Repeating Decimal
What is a Repeating Decimal?
A repeating decimal is a decimal that has a sequence of digits that repeats indefinitely. For example, 0.12341234... is a repeating decimal because the sequence "1234" repeats indefinitely.
Converting 2 4/9 to a Decimal
To convert the mixed number 2 4/9 to a decimal, we can divide the numerator (4) by the denominator (9).
2 4/9 = 2 + 4/9 = 2 + 0.44... = 2.44...
As you can see, the decimal equivalent of 2 4/9 is 2.44..., which is a repeating decimal.
Why is 2.44... a Repeating Decimal?
The decimal 2.44... is a repeating decimal because the sequence "4" repeats indefinitely. This is because 4/9 is an irreducible fraction, which means that it cannot be simplified further.
Properties of Repeating Decimals
Repeating decimals have some interesting properties:
- They are rational numbers: Repeating decimals can be expressed as a ratio of integers, which means they are rational numbers.
- They are non-terminating: Repeating decimals never end, because the sequence of digits repeats indefinitely.
- They have a repeating pattern: Repeating decimals have a repeating pattern of digits, which can be used to calculate the decimal equivalent of a fraction.
Conclusion
In conclusion, 2 4/9 as a decimal is a repeating decimal, which is a non-terminating decimal that has a repeating pattern of digits. Understanding repeating decimals is an important concept in mathematics, as it can help us simplify fractions and perform calculations with ease.
