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

Question

Accepted Answer

### For $(-3)(9)$:
# Explanation:
## Step1: Recall sign rule (opposite signs)
When multiplying a negative number and a positive number, the product is negative. Multiply the absolute values: $3\times9 = 27$.
## Step2: Apply sign
Since one number is negative and the other is positive, the product is $-27$.
# Answer: $-27$

### For $(-8)(-5)$:
# Explanation:
## Step1: Recall sign rule (same signs)
When multiplying two negative numbers, the product is positive. Multiply the absolute values: $8\times5 = 40$.
## Step2: Apply sign
Since both numbers are negative, the product is $40$.
# Answer: $40$

### For $(-5)(-6)$:
# Explanation:
## Step1: Recall sign rule (same signs)
When multiplying two negative numbers, the product is positive. Multiply the absolute values: $5\times6 = 30$.
## Step2: Apply sign
Since both numbers are negative, the product is $30$.
# Answer: $30$

### For $(-1)(2)(-6)$:
# Explanation:
## Step1: Multiply first two numbers
$(-1)(2)$: negative and positive, product is negative. $1\times2 = 2$, so $(-1)(2)= - 2$.
## Step2: Multiply result with third number
$(-2)(-6)$: two negative numbers, product is positive. $2\times6 = 12$, so $(-2)(-6)=12$.
# Answer: $12$

### For $(-2)(-4)(-7)$:
# Explanation:
## Step1: Multiply first two numbers
$(-2)(-4)$: two negative numbers, product is positive. $2\times4 = 8$, so $(-2)(-4)=8$.
## Step2: Multiply result with third number
$8(-7)$: positive and negative, product is negative. $8\times7 = 56$, so $8(-7)= - 56$.
# Answer: $-56$

### For $(-3)(-4)(-3)(-1)$:
# Explanation:
## Step1: Multiply first two numbers
$(-3)(-4)$: two negative numbers, product is positive. $3\times4 = 12$, so $(-3)(-4)=12$.
## Step2: Multiply next two numbers
$(-3)(-1)$: two negative numbers, product is positive. $3\times1 = 3$, so $(-3)(-1)=3$.
## Step3: Multiply the two results
$12\times3$: two positive numbers, product is positive. $12\times3 = 36$.
# Answer: $36$

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QUESTION IMAGE

Question

Explanation:

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

Step1: Recall sign rule (opposite signs)

Step2: Apply sign

Step1: Recall sign rule (same signs)

Step2: Apply sign

Step1: Recall sign rule (same signs)

Step2: Apply sign

Answer:

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