Ontario Mathematics Proficiency Practice Test

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Which of the following is a property of even numbers?

They are always negative

They can be divided by 2 without a remainder

Even numbers are defined as integers that can be expressed as 2 times another integer, which means they can be divided by 2 without leaving a remainder. This characteristic is fundamental to the property of even numbers and is applicable to both positive and negative integers, as well as zero. For example, numbers like -4, 0, 2, and 8 are all even because dividing any of these numbers by 2 results in an integer.

The other options do not universally apply to even numbers. Some even numbers, such as -2 or -4, are negative, but not all even numbers must be negative. Furthermore, while some even numbers are greater than zero, there are also many that are less than or equal to zero. Lastly, not all even numbers are whole numbers since some can be negative or zero but still fit the even criteria as integers. Therefore, the accurate property of even numbers is that they can always be divided by 2 without a remainder.

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They are larger than zero

They are always whole numbers

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