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In this multiplication problem every O stands for some odd digit and every E stands for some even digit. What is the product of the multiplication equal to?

Respuesta :

MrRoyal

Answer:

Even

Step-by-step explanation:

Given

[tex]E = Even[/tex]

[tex]O = Odd[/tex]

Required

What is the result of [tex]O * E[/tex]

Literally, multiplication means addition in a number of places.

So:

[tex]O * E = O_1 + O_2 + ..... +O_E[/tex]

The result [tex]O_1 + O_2 + O_E[/tex] will be an even number

Take for instance:

[tex]3 * 4 = 3 + 3 + 3 + 3[/tex]

[tex]3 * 4 = 12[/tex]

So: when a number is added to itself in an even number of times, the result is always even

Hence:

[tex]O * E = E[/tex]

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