Communicate Mathematical Ideas Describe a real-world situation that can be represented by the product 8(–20). Then find the product and explain what the product means in terms of the real-world situation.

What If? The rules for multiplying two integers can be extended to a product of 3 or more integers. Find the following products by using the Associative Property to multiply 2 numbers at a time.

a. 3(3)(–3)

b. 3(–3)(–3)

c. –3(–3)(–3)

d. 3(3)(3)(–3)

e. 3(3)(–3)(–3)

f. 3(–3)(–3)(–3)

g. Make a Conjecture Based on your results, complete the following statements:

When a product of integers has an odd number of negative factors, then the sign of the product is ____________.

When a product of integers has an even number of negative factors, then the sign of the product is ___________ .

Multiple Representations The product of three integers is –3. Determine all of the possible values for the three factors.

Analyze Relationships When is the product of two nonzero integers less than or equal to both of the two factors?

Justify Reasoning The sign of the product of two integers with the same sign is positive. What is the sign of the product of three integers with the same sign? Explain your thinking.