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Why does multiplying negative integers by negative integers result in positive integers?
Any negative integer can be factored to -1 times its positive value. Because negative one times itself is positive one, when multiplied by each other they cancel out.
So if you're multiplying a negative integer A by a negative integer B. Replace A and B with -1*|A| and -1*|B| (You can do this because you know A and B are negative), and use the distributive property to rearrange them. Now you can see the -1*-1 term and equate it to 1, leaving only the |A| and |B| behind. Because two positive numbers multiplied together are always positive, the result will always be positive.
Represented algebraically, as long as A and B are negative integers, the following is true:
AB = -1|A|*-1|B| = -1*-1|AB| = |AB|.
What else can I help you with?
What is multiplication of positive numbers?
Multiplying positive numbers will result in a positive number.
When you add 2 negatives numbers is the result a positive number?
Never, it will always be negative, regardless the numbers.
What is -2.005 - 19.19?
-2.005 - 19.19 equals -21.195. You can find this by simply adding the two numbers together, keeping in mind that you are subtracting a positive number from a negative one. The result is a more negative value.
Why square root of negative 36 is not a real number?
When you multiply any number by itself, the result is always positive. You cannot take any real number and square it to get something negative. The square root of -36 is 6i.
Can abneg and opos have bpos baby?
Yes, an AB negative (AB-) and an O positive (O+) individual can have a baby with a B positive (B+) blood type. The possible blood types of their child can be A, B, AB, or O, depending on the combination of alleles inherited from each parent. Since the AB parent can contribute A or B alleles, and the O parent contributes an O allele, a B blood type is possible if the child inherits a B allele from the AB parent and an O allele from the O parent. Additionally, the Rh factor from the O+ parent can result in the child being Rh positive or negative.
What is the product of three negative integers?
The product of three negative integers is negative. This is because multiplying two negative integers results in a positive integer, and then multiplying that positive integer by another negative integer yields a negative result. For example, if the integers are -2, -3, and -4, their product is -24.
What is the rule for multiplying different sign integers?
When multiplying integers with different signs, the rule is that the product will always be negative. For example, multiplying a positive integer by a negative integer results in a negative product. Conversely, multiplying a negative integer by a positive integer also yields a negative result. In summary, if the signs of the integers differ, the product is negative.
What is the product of four negative integers?
The product of four negative integers is always positive. This is because multiplying two negative integers results in a positive integer, and when you multiply two positive integers, the result remains positive. Therefore, the product of four negative integers will yield a positive value.
How is dividing integers similar to multiplying integers with the resulting sign?
The rules for the sign (positive or negative) of the result of a multiplication is the same as division. For multiplication: Positive * Positive --> Positive Positive * Negative --> Negative Negative * Positive --> Negative Negative * Negative --> Positive For division: Positive / Positive --> Positive Positive / Negative --> Negative Negative / Positive --> Negative Negative / Negative --> Positive
The quotient of two negative integers is?
It's a positive number. Here's the rule: In multiplication and division . . . -- If both numbers have the same sign, then the result of multiplying or dividing them is positive. -- If the two numbers have different signs, then the result of multiplying or dividing them is negative.
What will be the sign of the product if you multiply 5 negative integers and 4 positive integers together?
The product of 5 negative integers will be negative, as an odd number of negative factors results in a negative product. When you multiply this negative product by 4 positive integers, the overall product will remain negative because multiplying a negative number by a positive number yields a negative result. Therefore, the sign of the product will be negative.
Two positive integers and four negative integers are all multiplied together Is the final result positive or negative?
The final result is positive.
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.
If you add integers that are negative then your answer will be positive?
No. Adding negative integers will result in an integer that is more negative.
When multiplying two numbers with different signs the result will be?
Multiplying a positive and negative number will give a negative result. The result is a negative number.
When multiplying a negative number by a positive number is the result going to be negative or positive?
The result will always be negative. Positive X Positive = Positive Negative X Negative = Positive Positive X Negative = Negative
What are the rules for multiplying positive and negative numbers?
When multiplying numbers, the rules for signs are straightforward: the product of two positive numbers is positive, and the product of two negative numbers is also positive. However, when multiplying a positive number by a negative number, the result is negative. In summary, multiplying numbers with the same sign yields a positive result, while multiplying numbers with different signs results in a negative product.
