Multiplying Negative Integers by Positive Integers

This video tutorial teaches how to multiply a negative integer by a positive integer using the concept of equal groups. It explains multiplication as increasing a number by a specified scale and introduces models to represent positive and negative integers. The tutorial uses a product box to demonstrate solving multiplication problems, starting with a neutral field of zero pairs. By removing positive groups, the tutorial shows how to achieve negative products, providing examples like -5 * 3 and -7 * 2, resulting in -15 and -14, respectively.

What is the result of multiplying 3 by 6?

• 15

• 18

• 12

• 21

What does a zero pair represent in the models used for integers?

• A positive value

• A value of one

• A negative value

• A value of zero

How many negative values are left in the product box when you remove five groups of positive three?

• 10

• 20

• 15

• 5

What is the product of -5 and 3?

• -15

• -10

• 10

• 15

How many negative values are in the product box after removing seven groups of positive two?

• 16

• 14

• 12

• 18