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The two integers are 7 and 14. 7 x 14 = 98.

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What is the rule in dividing integers?

The rule in dividing integers is to divide the absolute values. Two positive integers or two negative integers equals positive product. If one integer is positive and the other is negative, the product is negative.


When is the product of two integers a positive?

The product of two integers is positive when both integers are either positive or both are negative. For example, multiplying 3 (positive) by 4 (positive) yields 12, while multiplying -3 (negative) by -4 (negative) also results in 12. In contrast, if one integer is positive and the other is negative, the product will be negative.


Positive integer whose sum is 14 have the smallest product?

To find positive integers that sum to 14 and have the smallest product, we can use the fact that the product of numbers is minimized when the numbers are as far apart as possible. The optimal way to split 14 is into one integer of 1 and the other of 13, resulting in the integers 1 and 13. The product of these two integers is (1 \times 13 = 13), which is the smallest possible product for integers that sum to 14.


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.


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.

Related Questions

What is the rule in dividing integers?

The rule in dividing integers is to divide the absolute values. Two positive integers or two negative integers equals positive product. If one integer is positive and the other is negative, the product is negative.


What are the two positive integers that have a product of 98 where one integer is twice the other?

The integers are 14 and 7.


When is the product of two integers a positive?

The product of two integers is positive when both integers are either positive or both are negative. For example, multiplying 3 (positive) by 4 (positive) yields 12, while multiplying -3 (negative) by -4 (negative) also results in 12. In contrast, if one integer is positive and the other is negative, the product will be negative.


Positive integer whose sum is 14 have the smallest product?

To find positive integers that sum to 14 and have the smallest product, we can use the fact that the product of numbers is minimized when the numbers are as far apart as possible. The optimal way to split 14 is into one integer of 1 and the other of 13, resulting in the integers 1 and 13. The product of these two integers is (1 \times 13 = 13), which is the smallest possible product for integers that sum to 14.


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.


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.


What does a composite number mean?

A composite number is an integer (usually a positive integer) that can be expressed as the product of smaller integers (other than 1). In other words, a composite number is NOT a prime number, but it has smaller prime numbers as factors.


What is non positive integer?

A non-positive integer is any integer that is less than or equal to zero. This includes all negative integers (such as -1, -2, -3, etc.) as well as zero itself. In mathematical notation, non-positive integers are represented as { ..., -3, -2, -1, 0 }.


The product of two consecutive integers is 156?

Yes, the integers are 12 and 13.


The sum of two positive Integer is 108 one integer is three times as great as the other. find the integes?

The sum of two positive integers is positive


When will the sum of 2 integers be positive?

The sum of two integers is positive whenever the integer with the larger absolute value is positive. The sign of the other one doesn't matter.


The product of 2 integers is 90. if one of the integers is -5 then the other is?

The other integer is -18 because -5 times -18 = 90