Active 8 months ago. Viewed 7k times. Both of those questions were essentially asking "what's the problem with dividing by zero? Now you have to give a meaningful definition of infinity that is consistent in the framework of arithmetic, and this is where the trouble lies. If so, please replace it; otherwise it could be confused with the factorial. The code is, e. Show 3 more comments. Active Oldest Votes. Mark Bennet Mark Bennet Add a comment. Max Max 1, 6 6 silver badges 16 16 bronze badges.
Community Bot 1. Andrew D. Hwang Andrew D. Hwang Full Explanation Dividing by zero isn't prohibited because it always gives the same answer. Eliah Kagan Eliah Kagan 1 1 gold badge 2 2 silver badges 8 8 bronze badges. Multiplying by zero is okay but it totally destroys any information that was in the original equality. If this is what you want, then so be it! Multiplying both sides of an inequality by an number is generally not okay.
If you multiply by a positive quantity, the inequality remains the same. If you multiply by zero, then the inequality becomes an equality. Division by zero is never okay. We say that zero lots of any number always equals zero.
It does not matter what the number is, if it is multiplied by zero, then the answer is zero. In this example we have 3 empty boxes. Each box contains zero eggs so in three boxes we say we have 3 lots of 0. Even if we add another empty box, we are not adding any eggs. We still have zero in total. It does not matter how much of nothing you have, it is still nothing. Here are some examples of multiplying by zero. Remember that it does not matter what the other numbers are, as long as we are multiplying by zero, then the answer is zero.
It total we have nothing. It does not matter how large the other number is, 57 lots of nothing is still nothing. This is like having 57 empty boxes of eggs. There are still no eggs in any of them.
Even if there are many numbers multiplied together, the answer is still zero if we are multiplying by zero. There are still no eggs in total because all of the boxes are empty. How to Multiply by 1 The rule for multiplying any number by 1 is that the number remains the same size. When multiplying a given number by one, the answer is simply the given number. To understand why this rule works we will look at some examples of multiplication.
Image will be uploaded soon. Zero and one are actually very special numbers and thus hold special properties. But zero also has some unique properties with respect to multiplication and division. Addition Property of Zero. Adding 0 to a numerical digit leaves its same. Multiplication Property of Zero. Zero times any numerical digit is equal to zero, meaning that multiplying any number by 0 provided 0.
Exponent Zero. Any number raised to power 0 is one. Exponents of Zero. Math Concepts. The multiplication property of zero: Regardless of what the other number is, multiplying by zero always results in an answer of zero. Arsham, Hossein. Accessed April 18, Accessed April 5, October March 11, August 21, November July
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