Why is the product of a negative and a positive always negative?

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 product of one negative and one positive integers?

The product of one positive and one negative integer is always a negative integer.

Is the product of two negative integers is always a positive integer justify your answer with example?

⭐ Answer ⭐ product of two negative integers are always a positive integer.

Is the sum of a negative integer and a positive integer is always positive?

The sum of a positive and a negative integer is always negative.

What is the product of a positive and negative numbers?

Multiplication and Division of Integers. RULE 1: The product of a positive integer and a negative integer is negative.

Why is the product of two negative integers always?

When you multiply a negative number by a positive number then the product is always negative. Since there is one positive and one negative number, the product is negative 12. (−3)⋅(−4)=12. Now we have two negative numbers, so the result is positive.

Is a positive integer yes or no?

All the numbers we use for counting are positive integers. Positive integers are actually part of a larger group of numbers called integers. Integers are all the whole numbers, both positive and negative. By whole numbers we mean numbers without fractions or decimals.

What is the sum of 2 positive integers?

The sum of two positive integers is always positive.

What is the sum of a positive and a negative integer?

The SUM of a POSITIVE and a NEGATIVE integer is always negative.

What are the rules for negative and positive numbers?

Rules for Positive and Negative Numbers

• A positive number has a value greater than zero.
• A negative number has a value less than zero.
• The sum of a positive number and its equal negative number is zero.
• Zero is neither a positive nor negative number.

What is the difference between positive and negative integer values?

We may have positive and negative integer values when working with integers in multiplication. There are rules for multiplying integers and dividing integers which are very similar to the rule for addition and subtraction. If the signs are different, the answer is negative. If the signs are the same, the answer is positive.

Why is the product of two negatives always a positive?

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. The answer to this question is accessible to a 7th grader (and should, in my opinion, be explained as part of every student’s arithmetic classes).

What is negnegative multiplicated by negative?

Negative multiplied by Negative is a positive number, which means that product of two negative integers is always positive. Multiplication of Negative numbers with a positive number will always result in a Negative number.

What happens when you multiply negative numbers with positive numbers?

Ans: Negative multiplied by Negative is a positive number and multiplication of Negative numbers with a positive number will always result in a Negative number.