Chapter 9.CM, Problem 1CM

To determine

(a)

The product of expression $\left(-8\right)\left(-1\right)$.

Answer to Problem 1CM

Solution:

The product of given expression is 8.

Explanation of Solution

Given:

$\left(-8\right)\left(-1\right)$.

Calculation:

In the given expression both the integers are negative and multiplication of two negative integers is positive so,

$\left(-8\right)\left(-1\right)=8\left(\text{Multiply}\right)$

Final statement:

Therefore, the product of given expression is 8.

To determine

(b)

The product of expression $-2\left(\frac{1}{6}\right)$.

Answer to Problem 1CM

Solution:

The product of given expression is $-\frac{1}{3}$.

Explanation of Solution

Given:

The expression of integers is $-2\left(\frac{1}{6}\right)$.

Calculation:

In the given expression one integer is negative and second is positive and multiplication of a negative and a positive integer is negative so,

$\begin{array}{c}-2\left(\frac{1}{6}\right)=-\frac{2}{6}\left(\text{Multiply}\right)\\ =-\frac{1}{3}\left(\text{Simplify}\right)\end{array}$

Final statement:

Therefore, the answer is $-\frac{1}{3}$.

To determine

(c)

The product of expression $-1.2\left(0.3\right)$.

Answer to Problem 1CM

Solution:

The product of given expression is $-0.36$.

Explanation of Solution

Given:

$-1.2\left(0.3\right)$.

Calculation:

In the given expression one number is negative and second is positive and multiplication of a negative and a positive number is negative so,

$-1.2\left(0.3\right)=-0.36\left(\text{Multiply}\right)$

Final statement:

Therefore, the product of given expression is $-0.36$.

To determine

(d)

The product of expression $0\left(-11\right)$.

Answer to Problem 1CM

Solution:

The value of given expression is 0.

Explanation of Solution

Given:

The expression of integers is $0\left(-11\right)$.

Calculation:

In the given expression one integer is negative and second one is zero and multiplication of a number with zero is always zero so

$0\left(-11\right)=0\left(\text{Multiply}\right)$

Final statement:

Therefore, the product of given expression is 0.

To determine

(e)

The product of expression $\frac{1}{5}\left(-\frac{10}{11}\right)$.

Answer to Problem 1CM

Solution:

The product of given expression is $-\frac{2}{11}$.

Explanation of Solution

Given:

The expression of integers is $\frac{1}{5}\left(-\frac{10}{11}\right)$.

Calculation:

In the given expression one number is positive and second one is negative and product of a positive and a negative number is negative so,

$\begin{array}{c}\frac{1}{5}\left(-\frac{10}{11}\right)=-\frac{10}{5\left(11\right)}\left(\text{Multiply}\right)\\ =-\frac{2}{11}\left(\text{Simplify}\right)\end{array}$

Final statement:

Therefore, the product of given expression is $-\frac{2}{11}$.

To determine

(f)

The product of expression $\left(7\right)\left(1\right)\left(-2\right)\left(-3\right)$.

Answer to Problem 1CM

Solution:

The product is 42.

Explanation of Solution

Given:

$\left(7\right)\left(1\right)\left(-2\right)\left(-3\right)$.

Calculation:

In the given expression two integers $-2$ and $-3$ are negative and multiplication of two negatives is positive so,

$\begin{array}{c}\left(7\right)\left(1\right)\left(-2\right)\left(-3\right)=7\left(6\right)\left(\text{Multiply}\right)\\ =42\left(\text{Simplify}\right)\end{array}$

Final statement:

Therefore, the product of given expression is 42.

To determine

(g)

The product of expression $\left(8\right)\left(-2\right)\left(0\right)$.

Answer to Problem 1CM

Solution:

The product of given expression is 0.

Explanation of Solution

Given:

The expression of integers is $\left(8\right)\left(-2\right)\left(0\right)$.

Calculation:

In the given expression one integer is negative and second one is zero and multiplication of any number with zero is always zero so,

$\begin{array}{c}\left(8\right)\left(-2\right)\left(0\right)=16\left(0\right)\left(\text{Multiply}\right)\\ =0\left(\text{Simplify}\right)\end{array}$

Final statement:

Therefore, the product is 0.