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Why is it true for any two nonzero integers the product and quotient have the same sign?
For any two nonzero integers, the product and quotient will have the same sign because both operations depend on the signs of the integers involved. If both integers are positive or both are negative, their product is positive and their quotient is also positive. Conversely, if one integer is positive and the other is negative, their product is negative and their quotient is also negative. Thus, in both cases, the product and quotient share the same sign.
Is it the same thing with ingers sign when multiplying?
Yes, when multiplying integers, the rules for signs apply consistently. If both integers have the same sign (either both positive or both negative), the product is positive. If the integers have different signs (one positive and one negative), the product is negative. This rule is fundamental in arithmetic involving integers.
What is the sign of the product of three positive integers and five negative integers?
The product of three positive integers is positive, and the product of five negative integers is negative. When you multiply a positive number by a negative number, the result is negative. Therefore, the sign of the product of three positive integers and five negative integers is negative.
What will be the sign of the product if we multiply 90 negative integers and 9 positive integers?
The product of any number of negative integers is positive if there is an even count of them, and negative if there is an odd count. Since 90 is an even number, the product of the 90 negative integers will be positive. When this positive product is multiplied by the 9 positive integers, the overall product remains positive. Therefore, the sign of the product will be positive.
What can you say about the of two integers with the same signs?
-- Their sum and difference both have the same sign that the two integers have. -- Their product and quotient are both positive.
What is the sign of the product when both integers signs are the same?
It is positive.
Why is it true for any two nonzero integers the product and quotient have the same sign?
For any two nonzero integers, the product and quotient will have the same sign because both operations depend on the signs of the integers involved. If both integers are positive or both are negative, their product is positive and their quotient is also positive. Conversely, if one integer is positive and the other is negative, their product is negative and their quotient is also negative. Thus, in both cases, the product and quotient share the same sign.
Is it the same thing with ingers sign when multiplying?
Yes, when multiplying integers, the rules for signs apply consistently. If both integers have the same sign (either both positive or both negative), the product is positive. If the integers have different signs (one positive and one negative), the product is negative. This rule is fundamental in arithmetic involving integers.
What is the sign of the product of three positive integers and five negative integers?
The product of three positive integers is positive, and the product of five negative integers is negative. When you multiply a positive number by a negative number, the result is negative. Therefore, the sign of the product of three positive integers and five negative integers is negative.
What will be the sign of the product if we multiply 90 negative integers and 9 positive integers?
The product of any number of negative integers is positive if there is an even count of them, and negative if there is an odd count. Since 90 is an even number, the product of the 90 negative integers will be positive. When this positive product is multiplied by the 9 positive integers, the overall product remains positive. Therefore, the sign of the product will be positive.
What can you say about the of two integers with the same signs?
-- Their sum and difference both have the same sign that the two integers have. -- Their product and quotient are both positive.
How do you use multiplecation and dividing integers?
To multiply integers, simply multiply their absolute values and determine the sign of the result: if both integers have the same sign, the product is positive; if they have different signs, the product is negative. For division, divide the absolute values of the integers and apply the same sign rules: the quotient is positive if both integers have the same sign and negative if they have different signs. Always remember to simplify the final result as needed.
What can you conclude about signs of two integers whose product is positive and negative?
If the product of two integers is positive, both integers must have the same sign, meaning they are either both positive or both negative. Conversely, if the product is negative, one integer must be positive and the other must be negative. This relationship reflects the fundamental rules of multiplication with respect to signs.
What is the formation of negative and positive integers?
the sum of 2021 nonnegative integers is 2020. what is the product of the numbers
What is the sign of the product when you multiply four integers?
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).
Is the product of two integers positive negative or zero How can you tell?
The product of two integers will be: * Zero, if one factor, or both, are zero. * Positive, if both factors have the same sign (both positive, or both negative) * Negative, if the two factors have different signs. Actually, these rules apply to all real numbers, not just to integers.
What is the product of 2 integers with like sign?
positive :)
