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Why Does A Negative Times A Negative Equal A Positive. We could have done it all with algebra but I personally prefer seeing a numerical example. Multiplying by a negative is a reflection so multiplying a negative by a negative is in effect the reflection of a reflection which would be the original back again. Similarly we can prove that a negative times a negative is a positive. Lets think about a multiplication equation as a person walking right or left on a number line.
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We use the distributive law on say-35 -5. In basic arithmetic multiplying by a negative number causes a 180 rotation on the unit circle. Here is an example of the distributive property. Logically its the only answer that makes sense. Its a lot like the example in 4. This would imply that -3 -4 equals positive 12 since 3 4 equals positive 12.
If a negative times a negative is a positive why isnt a positive times a positive a negative.
By Staff Writer Last Updated March 26 2020 The fact that a negative times a negative equals a positive can be proven mathematically using algebraic manipulation. If we use the same definition for multiplication what should the value of 3times-5 be. In basic arithmetic multiplying by a negative number causes a 180 rotation on the unit circle. Second to establish that a negative times a negative is positive. If you look at it on the number line walking backwards while facing in the negative direction you move in the positive direction. 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.
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We now know that 3 2 6 2 2 4 1 2 2 0 2 0. If you have more than two numbers multiply the first two and then apply these rules to each successive number in turn. 5 Next we are forced to accept another new law that negative times negative equals positive. There are two ways you may think of the negative number -1 that will make it intuitive that negative times negative equals positive. In this case he shows kids that a negative times negative is a positive.
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I dont really like the wording of the problem there. If you have always wanted to know WHY a negative times a negative is a positive here is the reason. Positive times negative equals negative. Similarly we can prove that a negative times a negative is a positive. It muddles up some concepts and seems like its designed to confuse pupils rather than to enlighten them.
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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. Its a lot like the example in 4. Take Mike Lawler for example. Ideally the second negative should change the sign of our original number which is. In basic arithmetic multiplying by a negative number causes a 180 rotation on the unit circle.
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This is again equal to zero. Using the fact multiplication is commutative a negative times a positive is also negative. In basic arithmetic multiplying by a negative number causes a 180 rotation on the unit circle. If you have always wanted to know WHY a negative times a negative is a positive here is the reason. A positive times a positive equals a positive A negative times a negative equals a negative A positive times a negative and vice-versa is not a legaldefined operation.
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But the additive inverse of 6 is just -6. -2 x -4 are both negative so we know the answer is going to be positive. There are two ways you may think of the negative number -1 that will make it intuitive that negative times negative equals positive. I dont really like the wording of the problem there. If we use the same definition for multiplication what should the value of 3times-5 be.
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For example we want to show that -3 -4 equals the same result as 3 4. 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. For example -3 - 9 27. For example we want to show that -3 -4 equals the same result as 3 4. If you look at it on the number line walking backwards while facing in the negative direction you move in the positive direction.
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By Staff Writer Last Updated March 26 2020 The fact that a negative times a negative equals a positive can be proven mathematically using algebraic manipulation. We know that negative times anything means that it will change the sign. Second to establish that a negative times a negative is positive. As multiplying with negative will change the sign a negative times a negative equal a positive Explanation. With his TwitterMath series on his YouTube Channel he demonstrates certain math principles in a very entertaining way.
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Two negatives make a positive so a negative number times a negative number makes a positive number. For example we want to show that -3 -4 equals the same result as 3 4. The answer to this question is accessible to a 7th grader and should in my. From this we can show that ab and ab have opposite signs and therefore that a positive times a negative is a negative. -2 x -4 are both negative so we know the answer is going to be positive.
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Atimes 0 0 and aleftbcrightabac. If you look at it on the number line walking backwards while facing in the negative direction you move in the positive direction. This would imply that -3 -4 equals positive 12 since 3 4 equals positive 12. Phyti Quark Senior Members 15 145 Posted August 13 2007 When numbers are directed pos and neg relative to zero they are treated as vector. One way is to think of -1 as being one unit to the left of zero.
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Negative times negative equals positive. We know that negative times anything means that it will change the sign. If a negative times a negative is a positive why isnt a positive times a positive a negative. Here is an example of the distributive property. Second to establish that a negative times a negative is positive.
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Therefore we have 3 1 3 3 2 6 and likewise a negative for any other other positive times a negative. A positive times a positive equals a positive A negative times a negative equals a negative A positive times a negative and vice-versa is not a legaldefined operation. By Staff Writer Last Updated March 26 2020 The fact that a negative times a negative equals a positive can be proven mathematically using algebraic manipulation. This is again equal to zero. A a 0.
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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. We know that negative times anything means that it will change the sign. But the additive inverse of 6 is just -6. It muddles up some concepts and seems like its designed to confuse pupils rather than to enlighten them. In basic arithmetic multiplying by a negative number causes a 180 rotation on the unit circle.
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Second to establish that a negative times a negative is positive. With his TwitterMath series on his YouTube Channel he demonstrates certain math principles in a very entertaining way. We now know that 3 2 6 2 2 4 1 2 2 0 2 0. Multiplying by a negative is a reflection so multiplying a negative by a negative is in effect the reflection of a reflection which would be the original back again. To multiply by -1 means to flip left and right-1 1 -1 for two reasons 1 1 any particular number is equal to that particular number.
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Logically its the only answer that makes sense. Learning that negative times negative equals positive the fun way. Using the fact multiplication is commutative a negative times a positive is also negative. If you have always wanted to know WHY a negative times a negative is a positive here is the reason. The answer is -2 x -4 8.
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If you have more than two numbers multiply the first two and then apply these rules to each successive number in turn. 5 Next we are forced to accept another new law that negative times negative equals positive. If we use the same definition for multiplication what should the value of 3times-5 be. So here we go. A positive times a positive equals a positive A negative times a negative equals a negative A positive times a negative and vice-versa is not a legaldefined operation.
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If you have more than two numbers multiply the first two and then apply these rules to each successive number in turn. The answer to this question is accessible to a 7th grader and should in my. By Staff Writer Last Updated March 26 2020 The fact that a negative times a negative equals a positive can be proven mathematically using algebraic manipulation. One way is to think of -1 as being one unit to the left of zero. After watching this video you will understa.
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With his TwitterMath series on his YouTube Channel he demonstrates certain math principles in a very entertaining way. If -1 x -1 -1 then 3 -1 4 or put another way 2 4 which we know to be incorrect. It muddles up some concepts and seems like its designed to confuse pupils rather than to enlighten them. Here is an example of the distributive property. 3times543times53times4 If the distributive property works for both positive and negative numbers what expression would be equivalent to 3times5-5.
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Its a lot like the example in 4. We could have done it all with algebra but I personally prefer seeing a numerical example. This is again equal to zero. Now lets have a negative number. With his TwitterMath series on his YouTube Channel he demonstrates certain math principles in a very entertaining way.
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