Yes. Negative integers follow exactly the same odd/even classification as their positive opposites: −9 is odd and −10 is even.
A minus sign does not change parity
Negative integers can be odd. The sequence includes …, −9, −7, −5, −3, −1. Negative even integers include …, −10, −8, −6, −4, −2. The sign tells you which side of zero the number occupies; parity tells you about divisibility by two.
The mathematical definitions use an integer multiplier, and that multiplier is allowed to be negative. There is no requirement that an odd number be a positive count of physical objects.
Check the definition directly
An odd integer can be written as 2k + 1. Here are three examples with negative values:
−13 = 2 × (−7) + 1.−5 = 2 × (−3) + 1.−1 = 2 × (−1) + 1.
By contrast, −12 = 2 × (−6) is even. Its half is the integer −6.
For a general proof, suppose n = 2k + 1 is odd. Then its opposite is −n = −2k − 1 = 2(−k − 1) + 1. Because −k − 1 is an integer, the opposite is also odd. This calculation explains why taking the absolute value preserves parity.
You can therefore inspect the final digit of the magnitude. The integer −8,437 ends in 7 and is odd. The integer −8,430 ends in 0 and is even.
Be careful with programming remainders
In mathematical modulo with a positive divisor, −13 modulo 2 is 1: −13 = 2 × (−7) + 1.
JavaScript’s % operator uses a different remainder convention for negative inputs. It gives -13 % 2 === -1, as described in MDN’s remainder reference. Consequently, checking only n % 2 === 1 misses negative odd integers.
For a validated integer, use n % 2 !== 0. The nonzero remainder can be either 1 or −1. Zero identifies evenness in both conventions. See modulo versus remainder for the full distinction.
Keep fractions out of the classification
The value −3.5 is neither odd nor even because it is not an integer. Rounding it first would answer a different question. The notation −3.0 represents the integer −3, which is odd.
Enter -3 in the calculator, using integer notation without a decimal point. Try −21, −22, and −23: the results should alternate odd, even, odd, just as they do on the positive side of zero.