Relocation Property (Multiplication and Division)

Algebra Level 1

The Relocation Property also works for multiplication and division. We simply remember that a multiplication or division sign must stay with the number following it when we do the rearranging.

Consider: $33\times13\div2\div11\div13\times10$

When writing your solution try to be as thorough and true to the thinking of yourself as a grade five student, who is trying their utmost to get out of developing their mathematical selves from the problem.

Keeping in mind... Every Problem Tells a Story.

So show each derivation keeping in mind elegance, completeness, and compactness.

The answer is 15.

1 solution

Peter Michael
Dec 31, 2015

One possible rearrangement that makes calculations easier is $33\div11$ , multiplied by $13\div13$ , multiplied by $10\div2$ :

$33\times13\div2\div11\div43\times10=33\div11\times13\div13\times10\div2$ $=3\times1\times5$ $=15$

Moderator note:

Great. When dividing by numerous terms, we should cancel common factors first.

Relocation Property (Multiplication and Division)

The answer is 15.

1 solution

Moderator note:

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