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Junior W.

asked • 10/31/16

If the sum of a numbers digit is a multiple of 3, then that number can be divided by 3. Can you give me three alternative cases?

This question is for my geometry class that I'm struggling in.

1 Expert Answer

By:

Mark M. answered • 10/31/16

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Mathematics Teacher - NCLB Highly Qualified

Junior W.

Now can you please put them in if else statements for me?
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10/31/16

Mark M.

Not sure what you mean by "if else."
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10/31/16

Junior W.

Do you know about coding?
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10/31/16

Mark M.

Did a "google" for coding. Are you doing something with a computer app?
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10/31/16

Mark M.

Read "CodebyMath.com." Not in my experience. Regrets. 
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10/31/16

Junior W.

Can you give me some other examples, like some other if then statements?
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10/31/16

Mark M.

Like:
If a quadrilateral is a square, then it has four equal sides.
If a triangle has two equal angles, the triangle is isosceles.
If a number is divisible by 4, it is divisible by 2.
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10/31/16

Junior W.

Can you give me 2 more about the multiple of 3 ones?
 
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10/31/16

Junior W.

Are can you give me some counterexamples?
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10/31/16

Mark M.

555, 5+5+5
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10/31/16

Mark M.

Ooops
555, 5+5+5 = 15, 555/3=183
891, 8+9+1 = 18, 891/3 = 297
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10/31/16

Mark M.

Assuming the hypothesis-conclusion is true, no counterexamples exist.
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10/31/16

Junior W.

I changed the statement to: if a number is divisible by 3, then it is a multiple of 3. give me some alternative cases please. thanks
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11/01/16

Mark M.

By definition if "a" is a multiple of "b," then "a" is divisible by "b".
What do you mean by "alternative cases?"
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11/01/16

Junior W.

like other ways to say it.
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11/01/16

Junior W.

are if the number wasn't divisible by 3 then how would i say it
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11/01/16

Junior W.

then can you give me another if-then statement regarding number relationships.
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11/01/16

Mark M.

If a number is not divisible by 3, then it is not a multiple of 3.
If a number ends in 0 (zero) or 5 (five), then it is divisible by 5.
If a number ends in an even number, then it is divisible by 2.
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11/01/16

Junior W.

regarding this statement: if a number is divisble by 3, Then it is a multiple of 3, can you give me some alternative cases?
 
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11/03/16

Mark M.

The converse is true:
If a number is a multiple of three, then the number is divisible by 3.
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11/03/16

Junior W.

What would happen if the remainder is 2?
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11/14/16

Mark M.

If a number is divided by 3 and results in a remainder, then the number is not divisible by 3.
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11/14/16

Junior W.

Sorry didn't answer my question, what would happen if I divided it and the remainder was 2?
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11/14/16

Mark M.

I do no understand what you mean by "what would happen."
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11/14/16

Junior W.

would it still be able to be divided by 3 and a multiple of three? 
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11/14/16

Mark M.

No, by definition is a number is divisible by another number the remainder is zero.
To your specific example, if when a number is divided by three and there is a remainder, then the number is not divisible by 3.
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11/14/16

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