Understanding Multiplication with Negative Numbers

The video tutorial explains why multiplying a positive number by a negative number results in a negative product. It begins by establishing the zero sum concept with 7 + -7 = 0. The tutorial then uses the distributive property to demonstrate that 5 * -7 must equal -35 to maintain the zero sum. This leads to the conclusion that a positive times a negative, or vice versa, is always negative.

What is the result of adding a number to its negative counterpart?

• The result is the number itself.

• The result is zero.

• The result is a positive number.

• The result is a negative number.

When multiplying 5 by the sum of 7 and -7, what is the result?

• The result is 35.

• The result is -35.

• The result is 7.

• The result is 0.

If 5 * 7 equals 35, what must 5 * -7 equal to make the sum zero?

• 35

• -35

• 0

• 7

What does the commutative property of multiplication state?

• Multiplication is the same as addition.

• Multiplication always results in a positive number.

• The order of multiplication does not affect the product.

• The order of multiplication affects the product.

What is the result of multiplying a positive number by a negative number?

• The result is always the same as the positive number.

• The result is always negative.

• The result is always zero.

• The result is always positive.