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Why does multiplication or division with a negative number yield a negative answer?
The assertion in the question is not always true. Multiplying (or dividing) 0 by a negative number does not yields 0, not a negative answer.
Leaving that blunder aside, let p and q be positive numbers so that p*q is a positive number.
Then
p*q + p*(-q) = p*[q + (-q)] = p*[q - q] = p*0 = 0
that is p*q + p*(-q) = 0
Thus p*(-q) is the additive opposite of p*q, and so, since p*q is positive, p*(-q) must be negative.
A similar argument works for division.
What else can I help you with?
What are the rules of cubing for negative numbers?
the same as all integer exponents, repeated multiplication the indicated number of times. Negative numbers when cubed yield negative numbers.
Why do negative and negative become positive?
A negative and a negative can yield a positive result in some cases.SubtractionSubtracting a negative number is the same as adding its negative value, which is positive. So if the subtracted number is larger in value, the answer will be positive.(-4) - (-3) = (-4) + 3 = (-1) * the subtracted number was not large enough(-4) - (-8) = (-4) + 8 = 4 *the subtracted number was large enough to yield a positiveMultiplication and DivisionWhenever a negative number and a negative number are multiplied or divided, the negative signs "cancel out" and the result is positive.(-2) x (-3) = 6(-6) / (-3) = 2A multiplication or division involving one negative and one positive will, however, have a negative result.
What combination of signed numbers always leads to a positive number?
If I understand the question correctly, the sum of two positive numbers will *always* yield a positive number. The product of two positive or two negative numbers will always yield a positive number. The division of two positive or two negative numbers will always yield a positive number. There are more examples along this line. I am not sure if this is what you wanted to know.
How do you use positive number in a sentence?
A negative number multiplied by a negative number will yield a positive number.
How do you multiple and divide positive and negative integers?
multiplying and dividing a negative number will "flip" the sign of the other number. So multiplying two negative numbers will produce a positive number. Multiplying one positive and one negative number will produce a negative. And of course two positive numbers yield a positive.
How can I use 4s facts to find X's?
To use "4s facts" (multiplication facts related to the number 4) to find "X," you can set up equations based on these facts. For instance, if you know that 4 times a certain number equals X, you can express this as 4n = X, where n is the number you are multiplying. By substituting known values into the equation or using division (X ÷ 4 = n), you can solve for X effectively. Additionally, using the properties of multiplication, you can explore different combinations that yield X.
What is the multiplication property of 0x7?
The multiplication property of zero states that any number multiplied by zero equals zero. Therefore, when you multiply 0 by 7, the result is 0. This principle holds true for any number, confirming that 0 multiplied by any value will always yield 0.
What multiplication problems will equal 58?
The only numbers that will yield 58 when multiplied are 1x58 and 2x29
What particle does not increase from one type of atom to another?
For a given chemical element, the number of protons does not vary from one atom to another. The number of neutrons can vary to yield different isotopes, and the number of electrons can vary to yield negative or positive ions or the neutral atom, but proton count remains constant.
Does a negative z score always yield a negative percentile?
A percentile is always between 0% and 100%, never negative.
Would the percent yield be different if the actual yield and theoretical yield were in units of moles?
No, the percent yield would not be affected by the units of the actual and theoretical yield as long as they are consistent. Percent yield is calculated as (actual yield / theoretical yield) x 100%, where the units cancel out in the division.
What is the number of servings a recipe will make is known as its?
yield
