Is the quotient of two integers with different signs is negative?
Is the quotient of two integers with different signs is negative?
The quotient is positive. TO DIVIDE TWO NUMBERS WITH THE DIFFERENT SIGNS, divide the absolute values of the numbers. The quotient is negative.
Why is the quotient of two integers with different signs negative?
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.
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 two integers?
The quotient of two integers is always a rational number.
What is the quotient of two integers with different signs is?
The quotient of two numbers with different signs is always negative.
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.
What is the quotient of two integers with different signs?
Why the quotient of integers is not always 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 .
What is the rule for dividing integers with different signs?
When you divide two integers with different signs, the result is always negative. Just divide the absolute values and make the answer negative.
When the signs are different the quotient is?
When the signs are the same, the quotient is positive, and when the signs are different, the quotient is negative.
Is the quotient of two integers positive negative or zero How can you tell?
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.
How do you find the quotient of integers?
Students understand that every quotient of integers (with a nonzero divisor) is a rational number and divide signed numbers by dividing their absolute values to get the absolute value of the quotient. The quotient is positive if the divisor and dividend have the same signs and negative if they have opposite signs.
What is the quotient of a dividend?
The quotient is also less commonly defined as the greatest whole number of times a divisor may be subtracted from a dividend without the remainder becoming negative. For example, the divisor 3 may be subtracted up to 6 times from the dividend 20 before the remainder becomes negative…
How do you find the product of two integers?
Explain the process for finding the product of two integers. Answer: Determine the sign of the product, multiply the absolute value of the numbers then attach the sign to the product. If one of the numbers is zero then the product is zero.