It is true, and it follows from the definition of multiplication and division.
That is because that is how the product and quotient are defined.
Those are the rules of multiplication (and division).
It follows from the definitions of the two operations.
-- 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.
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
-- If the two integers have the same sign, their quotient is positive. -- If the two integers have different signs, their quotient is negative.
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.
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!
It is the same thing as dividing whole numbers in order to find a quotient.
When their signs are the same.
It is the product of their absolute values with the common sign.
The product of the two numbers is them multiplied together.
The product has the same sign as the numbers.
None. A rational number is a number that can be written as the quotient of two integers where the divisor is not zero. An irrational number is a real number that cannot be written as the quotient of two integers where the divisor is not zero. Any given real number either can or cannot be written as the quotient of two integers. If it can, it is rational. If it cannot, it is irrational. You can't be both at the same time. The square root of -1 is not a real number and it cannot be written as the quotient of two integers, so it is neither rational nor irrational.
You get a product which is positive.
It would be a positive number. A negative number divided by a negative number would be positive. A positive number divided by a positive number would also be positive. So, the quotient of 2 integers with the same sign will be a positive number, regardless of which sign the two numbers had.
The quotient of 5 and negative 30 is both. Rational numbers and integers include many of the same numbers. Integers are positive and negative counting numbers, but rational numbers include nonrepeating decimals and fractions.
The sign of the product of four integers depends on the signs of the individual integers. There are 4 cases: 1) When all 4 integers share the same sign and all are non-zero (either all are positive or all are negative), the product is positive. 2) When 3 of the 4 integers share the same sign and all are non-zero (3 are positive and 1 is negative; or 3 are negative and 1 is positive), the product is negative. 3) When 2 of the integers are positive non-zero and the other 2 of the integers are negative non-zero, the product is positive. 4) If even one of the integers is zero, the product is zero (no sign - it is neither positive nor negative).
It is their common sign.
if two numbers have the same sign, their product or quotient is