WOW..Why Negative Multiply Negative Equal Positive

Since we know that ab is negative and the sum of these two terms is 0 therefore a b is positive. A a 0 a b a b 0 b ab a b 0.

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To find the sum of a positive and a negative integer take the absolute value of each integer and then subtract these values.

Why negative multiply negative equal positive. When you multiply a negative number to a positive number your answer is a negative. The total number is the sum of all blocks which can be positive or negative. Note that when you take the inverse of an inverse you get the same number back again.

Atimes 0 0 and aleftbcrightabac. This concept is also explained conceptually by movements on a basic number line. Similarly one may ask why does a negative plus a negative equal a positive.

This is why you must flip the sign whenever you multiply by a negative number. This is just the same as saying minus times a minus gives a plus. --3 means the inverse of -3 which is 3 because 3 is the number which when added to -3 gives zero.

Multiplication is adding or removing multiple blocks at once. Since multiplying by a negative number is repeated subtraction when we multiply a negative number by a negative number we repeated subtract it which means we go up into the positive numbers. When you multiply both sides by a negative value you make the side that is greater have a bigger negative number which actually means it is now less than the other side.

-2 x -4 are both negative so we know the answer is going to be positive. For example the inverse of 3 is -3 and the inverse of -3 is 3. Any two positives numbers multiplied together equal positive numbers and.

If you look at it on the number line walking backwards while facing in the negative direction you move in the positive direction. 2 x 5 could be the equivalent of saying take away 5 groups of 2 Again this gives us 10. Another way to look at this is to consider it this way.

When you multiply a negative number to a positive number. The sum of any integer and its opposite is equal to zero. 3 2 1 1 3 -2.

So when you multiply two negative numbers ie. Using the fact multiplication is commutative a negative times a positive is also negative. Two negatives make a positive so a negative number times a negative number makes a positive number.

Multiplying two negative numbers results in a positive number because the product of two negative numbers can be described as the additive inverse of a positive number according to the University of Toronto Mathematics Network. Zero is when you have an equal amount of positive and negative blocks. So you as the ancient philosopher in mathematics have concluded in order for the multiplication of positive and negative numbers to be consistent with everything youve been constructing so far with all the other properties of multiplication that you know so far that you need a negative number times a positive number or a positive times a negative to give you a negative number and a negative times a negative to give you a positive.

You can film someone walking forwards positive rate or walking backwards negative rate. Why a Negative Number Times a Negative Number Equals a Positive Number 4 The constant multiplier of k4 represent the slope of the line in the x-y plane passing through the origin. What do you see if you play a film backwards of someone walking backwards.

If the negative times a negative quadrant on the lower left were all negative instead of positive eg then the rows and columns that go through it will suddenly have to switch patterns eg increasing by 3s to decreasing by 3s when they pass zero. Similarly we can prove that a negative times a negative is a positive. A negative number times a negative number equals a positive number.

Another easy way to understand is that multiplying by -1 is equivalent to rotation of 180 degrees on complex plane. In some sense the rules for signs are set up so that multiplication tables like this follow a nice simple. In light of this why when you multiply a negative by a negative it is positive.

The answer is -2. The sum is now a larger group equal to 10. 2 2 10 10 0.

-5 -3 it is -5 subtracted thrice from 0 which is like adding 5 thrice therefore you get a positive answer. When you multiply a negative by a negative you get a positive because the two negative signs are cancelled out. This is in fact the reason why the negative numbers were introduced.

When you multiply a negative number to a positive number your answer is a negative number. The precise logical argument as to why negative times negative should be positive Once we agree that 2timesleft-3right-6 via repeated addition and left-3righttimes 2-6 via a belief in commutativity that negative times negative is positive is a forced logical consequence of these next two basic beliefs of arithmetic. Lets think about a multiplication equation as a person walking right or left on a number line.

Moreover what happens when you times a positive and a negative. So that each positive number would have an additive inverse. The array of numbers can be represented by the formula y - kx or y - 4xA plot of this situation is given in Figure 3.

One physical explanation people often like for negativenegativepositive is multiplying rates. A negative number times a positive number equals a negative number. -2-3 0 -2 -2 -2 0 2 2 2 6.

A negative number times a positive number equals a negative number. Now play the film back but in reverse another negative rate. Any two negative numbers multiplied together equals a positive number.

Similarly we can prove that a negative times a negative is a positive. Since we know that ab is negative and the sum of these two terms is 0 therefore a b is positive. Using the fact multiplication is commutative a negative times a positive is also negative.

Putting all this together we can hopefully now see why multiplying two negative numbers gives a positive number. What does a negative positive equal. So defining multiplying by a negative this way then multiplying two negative numbers means you do the mirror Rick twice.

When you multiply a negative by a negative you get a positive because the two negative signs are cancelled out. Multiplying by a negative number means times the numbers as positive integers and the result is the negative of that number on the left of the zero. A negative number times a positive number equals a negative number.

It doesnt matter which order the positive and negative numbers are in that you are multiplying the answer is always a negative. Think of a collection of positive and negative blocks.

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