Answer:
The product of two and any nonzero integer is always an even number.
Step-by-step explanation:
Example:
2 * 17 = 34
2 * 15 = 30
2 * 30 = 60
All of these are even numbers.
The product of two and any nonzero integer is always an even integer.
"It is a natural number numbers along with zero and negatives."
Z = . . ., -3, -2, -1, 0, 1, 2, 3, . . .
"An integer which is divisible by 2."
For given example,
Let a = 2 and 'b' be any nonzero integer.
Case 1: 'b' is positive even integer
Let b = 4
⇒ a × b = 2 × 4
⇒ a × b = 8, which is an even integer.
Case 2: 'b' is negative even integer
Let b = -8
⇒ a × b = 2 × (-8)
⇒ a × b = -16, which is an even integer.
Case 3: 'b' is positive odd integer
Let, b = 9
⇒ a × b = 2 × 9
⇒ a × b = 18, which is an even integer.
Case 4: 'b' is negative odd integer
Let, b = -3
⇒ a × b = 2 × (-3)
⇒ a × b = -6, which is an even integer.
From above cases, we can observe that the product of 2 and any nonzero integer is an even integer.
Therefore, the product of two and any nonzero integer is always an even integer.
Learn more about integers here:
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