Converting Mixed Numbers to Decimals for Older Students (Ages 10 and up)

To convert the mixed number -10 2/9 into a decimal, follow these steps:

1. Identify the whole number and the fraction: The mixed number here is -10 2/9, where -10 is the whole number and 2/9 is the fraction.
2. Convert the fraction (2/9) into a decimal: To do this, divide the numerator (2) by the denominator (9).
• 2 ÷ 9 = 0.222... (repeating)
3. Add the decimal to the whole number: Now, take the decimal you got from the fraction, which is approximately 0.222, and combine it with the whole number. Since we have a negative whole number, it will be:
• -10 + (-0.222) = -10.222... (repeating 2)
4. Final answer: Therefore, the decimal representation of -10 2/9 is -10.222... or you can write it as -10.22 (if rounded to two decimal places).

So, -10 2/9 as a decimal is approximately -10.222, where the '2' repeats.