# Why is the quotient of two integers with different signs is negative?

## Why is the quotient of two integers with different signs is negative?

TO DIVIDE TWO NUMBERS WITH THE SAME SIGN, divide the absolute values of the numbers. TO DIVIDE TWO NUMBERS WITH THE DIFFERENT SIGNS, divide the absolute values of the numbers. The quotient is negative.

## Is the quotient of two integers always the same?

Conclusion: Every quotient of two integers is always a rational number but not always an integer. Students may need some time to study the examples where the quotient is an integer to determine that the quotient of two integers, , , is an integer when either or for any integer .

What is the quotient of 2 integers?

rational number
The quotient of two integers is always a rational number.

Why is the quotient of two negative integers positive?

Each number has an “additive inverse” associated to it (a sort of “opposite” number), which when added to the original number gives zero. The fact that the product of two negatives is a positive is therefore related to the fact that the inverse of the inverse of a positive number is that positive number back again.

### When you divide two integers with negative signs the quotient is always?

When you divide two negative numbers then the quotient is positive. The same rules hold true for multiplication.

### When two integers of like signs are multiplied then the product is a?

positive product
Multiplication of two integers with like sign will always give out a positive product. This means that the product of two positive or two negative integers is positive. On the other hand, the product integers with unlike sign will always be negative.

Why is the quotient of two integers sometimes an integer?

The quotient of two integers is not always an integer. For example, 8÷(−2)=−4 is an integer because it divides evenly. When a quotient of integers does not divide evenly, the result is a fraction .

When you divide two integers when is the quotient less than both integers?

When you divide a negative number by a positive number then the quotient is negative. When you divide a positive number by a negative number then the quotient is also negative. When you divide two negative numbers then the quotient is positive. The same rules hold true for multiplication.

#### Why is the quotient of two integers?

The quotient of two integers is not always an integer. For example, 8÷(−2)=−4 is an integer because it divides evenly. However, −2÷8=−28=−14 is not an integer. When a quotient of integers does not divide evenly, the result is a fraction .

#### Why is the quotient of two integers always a rational number?

If X and Y are integers means they are rational number and when quotient is generated by division of previous two then the quotient must be rational as well. With X is any integers Y is not being zero, then X/Y will always be rational number. So It is true that the quotient of two integers is always a rational number.

What can you tell about two integers when their quotient is positive negative zero?

When the quotient of two integers is positive, then they have like signs. When the quotient of two integers is negative, then they have opposite signs. When the quotient of two integers is zero, then the numerator is 0 and the denominator is any integer not equal to 0.

How do you know if a quotient of two numbers is positive or negative?

RULE 1: The quotient of a positive integer and a negative integer is negative. RULE 2: The quotient of two positive integers is positive. RULE 3: The quotient of two negative integers is positive. If the signs are different the answer is negative.

## How to find the quotient of two integers?

Example 1: Divide the two integers below. Solution: First, find the absolute values of the two integers. Next, divide the numbers or find their quotient. Finally, determine the final sign of the answer or quotient. Because we are dividing two integers with the same sign, the quotient will have a positive sign.

## What happens when you divide two integers with the same sign?

Because we are dividing two integers with the same sign, the quotient will have a positive sign. Example 2: Divide the two integers below. Solution: Divide the absolute values of the two integers. Following the rules stated above, when dividing integers with different signs the final answer (quotient) is negative.

When is the quotient of two numbers is positive or negative?

When the signs are the same, the quotient is positive, and when the signs are different, the quotient is negative. The sign of the quotient of two numbers depends on their signs. Remember, you can always check the answer to a division problem by multiplying. Divide, noting that the signs are different and so the quotient is negative.

When does the quotient of two numbers depend?

When the signs are the same, the quotient is positive, and when the signs are different, the quotient is negative. The sign of the quotient of two numbers depends on their signs. Remember, you can always check the answer to a division problem by multiplying.