Question

2 solve each problem. explain how you determined the sign of the products.
(-3)(9) = ____ (-8)(-5) = ____
(-5)(-6) = ____ (-1)(2)(-6) = ____
(-2)(-4)(-7) = ____ (-3)(-4)(-3)(-1) = ____

Explanation:

For \((-3)(9)\):

Step1: Recall sign rule (opposite signs)

When multiplying a negative number and a positive number, the product is negative. Then multiply the absolute values: \(|-3| = 3\), \(|9| = 9\), so \(3\times9 = 27\). Since the signs are opposite, the result is negative.

Step2: Calculate the product

\((-3)(9)= - (3\times9)= - 27\)

For \((-8)(-5)\):

Step1: Recall sign rule (same signs)

When multiplying two negative numbers, the product is positive. Then multiply the absolute values: \(|-8| = 8\), \(|-5| = 5\), so \(8\times5 = 40\). Since the signs are the same, the result is positive.

Step2: Calculate the product

\((-8)(-5)=8\times5 = 40\)

For \((-5)(-6)\):

Step1: Recall sign rule (same signs)

When multiplying two negative numbers, the product is positive. Then multiply the absolute values: \(|-5| = 5\), \(|-6| = 6\), so \(5\times6 = 30\). Since the signs are the same, the result is positive.

Step2: Calculate the product

\((-5)(-6)=5\times6 = 30\)

For \((-1)(2)(-6)\):

Answer:

s:
\((-3)(9)=\boldsymbol{-27}\)
\((-8)(-5)=\boldsymbol{40}\)
\((-5)(-6)=\boldsymbol{30}\)
\((-1)(2)(-6)=\boldsymbol{12}\)
\((-2)(-4)(-7)=\boldsymbol{-56}\)
\((-3)(-4)(-3)(-1)=\boldsymbol{36}\)