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It all has to do with directions like the number line. For students would be easier to remember this with the number line chart since it has the numbers from negative to positive as shown below.

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3.OA.A.1
Interpret products of whole numbers as the total number of objects in equal groups (e.g., interpret 5 x 7 as the total number of objects in 5 groups 7 objects each).

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3.OA.D.10
When solving problems, assess the reasonableness of answers using mental computation and estimation strategies including rounding

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Why does Multiplying two negatives make a positive number?

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Why does Multiplying two negatives make a positive number?

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Negative times a negative is a force logical sequence of those two next basic beliefs of arithmetic:
a x 0 = 0
a (b + c) = ab + ac

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"+" means positive "-" means negative.
Usually when a number has no sign it means positive.
Ex: 5 or +5
We put parenthesis ( ) around numbers to not make confusions.
Ex.
3 x (-2) = -6

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Rules for multiplication

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Two Positive Signs Will Always Equal Positive Numbers
Ex:
3 * 3 = 9
Two Negatives Make a Positive Number
Ex:
(-3) * (-2) = 6
A Negative Number and a Positive Number Makes a Negative Number
Ex:
(-3) * 4 = -12
A Positive Number and a Negative Number Makes a Negative Number
Ex:
4 * (-2) = -8