I’ve begun to study math on mine own. I’m at the bottom. I did a question finding multiples and got them every wrong because I didn’t include zero.

You are watching: Is zero a multiple of every number


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What is your meaning of \"multiple\"?

The traditional is:

B is multiple of A if exist N essence such that B=NA.

0 is many of A because that every A since if we choose N=0 we have 0=0 x A =0


Exactly. Through the way, we use this meaning because it means that truth like

an integer is strange if it is one much more than a multiple of 2

in decimal any Integer finishing in \"0\" is a multiple of 10

the sum of two multiples that 5 is a lot of of 5

sin(x) = 0 of and only if x is a multiple of π

are simpler to write than if we had actually to speak \"multiple... Or zero.\"

Granted, there space some instances where we desire to exclude, 0, and our meaning means we then have to say \"nonzero multiple,\" but this is less usual that the cases where it is an excellent to encompass 0.


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· 3y

Yes, it is, 5*0 = 0, N*0 = 0


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· 3y

A many is commonly identified as, y is a lot of of x if kx=y, whereby k is some integer. We see that if k=0, x deserve to be any number and y will be 0.

We have the right to use some examples. 0*5=0, for this reason 0 is a many of 5. Follow to https://www.mathsisfun.com, x doesn't even need to be an integer for this reason 0 would likewise be a lot of of pi.

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