Understanding Multiplication of Negatives

The video tutorial explains why multiplying two negative numbers results in a positive product. It begins by revisiting the concept that a positive times a negative is negative. The tutorial then uses the example of -5 multiplied by -7, applying the distributive property to demonstrate that the product is positive. By distributing -5 across the sum of 7 and -7, the tutorial shows that the unknown product must be the opposite of -35, thus positive 35. The video concludes by reinforcing the understanding that both negative times negative and positive times positive yield positive results.

What is the result when a positive number is multiplied by a negative number?

• Undefined

• Negative

• Positive

• Zero

In the example given, what is the product of -5 and -7?

• -35

• 35

• 5

• 0

Why does multiplying -5 by the sum of 7 and -7 help in understanding negative multiplication?

• It indicates that the sum is negative.

• It demonstrates that the sum is zero, simplifying the calculation.

• It proves that multiplication is commutative.

• It shows that the sum is always positive.

What conclusion can be drawn about the product of two negative numbers?

• The product is always negative.

• The product is always zero.

• The product is always positive.

• The product is undefined.

What is the known result of multiplying two positive numbers?

• Negative

• Positive

• Zero

• Undefined