Write 23/9 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
23/9 = 2.555... (the digit 5 repeats indefinitely)
To express 23/9 as a decimal, you need to perform the division. Let's do it step by step:
1. Divide the numerator (23) by the denominator (9): 23 ÷ 9 = 2 with a remainder of 5.
2. Since the remainder is not zero, add a decimal point after the resulting whole number (2): 2.
3. Bring down a zero after the remainder (5): 2.0.
4. Divide the new number (50) by the denominator (9) again: 50 ÷ 9 = 5 with a remainder of 5.
5. Repeat the previous step until you obtain the desired level of accuracy or a repeating pattern emerges. In this case, 55 will be the next dividend: 55 ÷ 9 = 6 with a remainder of 1.
6. Continue the process: 10 ÷ 9 = 1 with a remainder of 1.
7. Repeat again: 10 ÷ 9 = 1 with a remainder of 1.
This process keeps repeating indefinitely, so we indicate the repeating pattern by using a bar over the digit or group of digits that repeat. In this case, the decimal representation of 23/9 is 2.555..., where the digit sequence 5 repeats.