Multiplying Integers and Their Signs

The video tutorial explains how to multiply three or more integers by using two methods: multiplying two integers at a time or using a shortcut to determine the sign of the product. It highlights that the product of an odd number of negative integers is negative, while the product of an even number is positive. Two examples are provided to illustrate these concepts, showing step-by-step calculations and verifying results using both methods.

What are the two methods for multiplying three or more integers?

• Subtracting the smallest integer from the largest

• Dividing the integers by the number of negatives

• Adding all integers together

• Using rules for two integers and determining the sign based on the number of negatives

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CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

What is the sign of the product when multiplying an odd number of negative integers?

• Positive

• Undefined

• Negative

• Zero

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CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

In the first example, what is the final product of multiplying 4, 6, and 2?

• Positive 48

• Positive 24

• Negative 48

• Negative 24

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CCSS.7.NS.A.2A

How do you verify the sign of a product using the first method?

• By dividing the integers

• By counting the number of negative integers

• By adding the integers

• By subtracting the integers

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CCSS.7.NS.A.2A

In the second example, what is the sign of the product when multiplying three negative integers?

• Positive

• Zero

• Undefined

• Negative

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CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

What is the final product of multiplying 7, 3, 2, and 4 in the second example?

• Negative 168

• Negative 42

• Positive 42

• Positive 168

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CCSS.7.NS.A.2A

Which method can be used to verify the product's sign in the second example?

• Dividing the integers

• Subtracting the integers

• Counting the number of negative integers

• Adding all integers

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CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

What is the result of multiplying positive 42 by negative 4 in the second example?

• Positive 168

• Negative 168

• Positive 42

• Negative 42

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CCSS.7.NS.A.2A

CCSS.7.NS.A.2B