Yes, for three reasons:
1) it ends after 4 digits, making it a terminating number.
2) If you were referring to ".6222222......", then it is still rational because it has a repeating, predictable pattern.
3) it is equal to (2/3) - (4/90), which is 28/45, a rational fraction
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It is a rational number. It can be written as a fraction.
It is a rational number, as it can be written as a fraction.
Yes, the sum is always rational.
10.01 is a rational number
Since it can be written as a fraction (9.0 = 90/10), then it 9.0 is a rational number.