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If an integer's square is divisible by four, then it is even.

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14y ago

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What is an integer that is divisible by two?

An even integer


What is a counter example to falsify If x is an integer divisible by 3 then x2 is an integer divisible by 3?

Suppose x = sqrt(3*a) where a is an integer that is not divisible by 3. then x2 = 3*a which is divisible by 3. but x is not even rational and so is not an integer and is certainly not divisible by 3.


What the true biconditional statement that can be formed from the conditional statement If a number is divisible by 2 then it is even and its converse.?

The true biconditional statement that can be formed is: "A number is even if and only if it is divisible by 2." This statement combines both the original conditional ("If a number is divisible by 2, then it is even") and its converse ("If a number is even, then it is divisible by 2"), establishing that the two conditions are equivalent.


How could you test that an integer number is divisible by 2?

See if it is an even number. If it is, it's divisible by 2.


Is 315 divisible by 6?

No, as only numbers that end in an even number can possibly be divisible by 6 into an integer.


Is negative 2 even?

Yes, -2 is considered to be an even integer since it's divisible by 2. An even number is a number that is divisible by 2.


Is 7000 a even number?

Yes, because it can be divisible by two to get an integer.


What are some examples of a conditional statement?

A simple example of a conditional statement is: If a function is differentiable, then it is continuous. An example of a converse is: Original Statement: If a number is even, then it is divisible by 2. Converse Statement: If a number is divisible by 2, then it is even. Keep in mind though, that the converse of a statement is not always true! For example: Original Statement: A triangle is a polygon. Converse Statement: A polygon is a triangle. (Clearly this last statement is not true, for example a square is a polygon, but it is certainly not a triangle!)


How do we know if an integer is a odd or even?

If its not divisible by 2 evenly then it is an odd number.


Will the square root of an integer always be an integer?

No, the square root of an integer will not always be an integer. It may or may not be. The square root of nine is three, both of which are integers. The square root of two is not an integer. In fact, it is not even a rational number.


What are the odd integers greater than 40?

Any integer that is divisible by 2 with no remainder is even otherwise it is an odd integer


What number is not even or odd?

Any number that is not an integer is neither even nor odd. For example, 8.5, pi, the square root of 2 are all neither even nor odd. Every integer (including 0) is either even or odd. 0 is even since it is divisible by 2: 0 / 2 = 0