Question

The product of two negative numbers is always a positive number. How would you explain this rule to a classmate who does not understand why the product of two negative numbers must be positive?

Answer 1

The explanation for the product of two negative numbers is always a positive number is; explained below

What is the product of two negative numbers?

Think of a positive number as something that you get as a gift from me and a negative number as something that you give away to me.

So, 5 means you get 5 chocolates from me and -5 means you give away 5 chocolates to me. Now when you say -5 + -5 + -5 + -5 + -5, what this means is, you are giving away 5 chocolates 5 times to me, so basically you have given away 25 chocolates, which means I have 25 chocolates and you have -25.

Now, -5 * -5 means, you give away 5 chocolates, for -5 times to me. But the second number is -5, so the receiver, that is me, is giving it back to you. Thus indirectly, you gave away 5 chocolates to yourself 5 times. Thus you have 25 candies.

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