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Q: Is it true that for any nonzero integers the product and quotient have the same sign?

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That is because that is how the product and quotient are defined.

True.

yes

Those are the rules of multiplication (and division).

It follows from the definitions of the two operations.

It is true, and it follows from the definition of multiplication and division.

-- Their sum and difference both have the same sign that the two integers have. -- Their product and quotient are both positive.

The product or quotient of two numbers that have the same sign is positive. The product or quotient of two numbers with different signs is negative.

-- If the two integers have the same sign, their quotient is positive. -- If the two integers have different signs, their quotient is negative.

To find the Quotient and Product of two integers this is how it works if the two numbers are the same sign then it would be a postivite answer but if the two number has different signs the answer would be negative but that is only with muilty and divison

The quotient has a positive sing in that case.

Their quotient is positive if the integers have the same sign;negative if the integers have different signs;zero if the dividend is zero (and the divisor is not).

The value of the quotient of two integers with different signs is the same as if the signs were the same. Because the numbers have different signs, the quotient is negative.

Quotient positive: Both integers have the same sign: both positive or both negative. Quotient zero: The first integer is 0. Quotient negative: The integers have opposite signs: one positive and one negative.

What is the product of three same sign of integers

True. If the equation is (-4)divided by (-8) the quotient will be +2 because 8 divided by 4=2 and the two integers are the same, so it's positive. The same goes for multiplying integers.

Because that is how products and quotients are defined!

When their signs are the same.

It is the same thing as dividing whole numbers in order to find a quotient.

The product has the same sign as the numbers.

It is positive.

The product of the two numbers is them multiplied together.

It is the product of their absolute values with the common sign.

1 2 and 3

You get a product which is positive.