Chapter 40, Problem 24A

To determine

(a)

The product of the given signed number $(-3.86)(-2.1)(27.85)(-32.56)$

Answer to Problem 24A

Value of the given number is -7350.49.

Explanation of Solution

Given:

  $(-3.86)(-2.1)(27.85)(-32.56)$ is given as a signed number

Calculation:

  $(-3.86)(-2.1)(27.85)(-32.56)$

Now, count the number of negative signs in the given number, if their sum is an even number then, the product is positive and if the sum is an odd number then, the product is negative.

In this given number, there are 3 negative signs. Therefore, the product will be a negative number.

  $\begin{array}{l}=(-3.86)(-2.1)(27.85)(-32.56)\\ =(-3.86)\times (-2.1)\times (27.85)\times (-32.56)\\ =-7350.49\end{array}$

Hence, the value of the given number is -7350.49.

To determine

(b)

The product of the given signed number $(8)(-2.65)(0.5)(-1)$.

Answer to Problem 24A

Value of the given number is, 10.6

Explanation of Solution

Given:

  $(8)(-2.65)(0.5)(-1)$ is given as a signed number

Calculation:

  $(8)(-2.65)(0.5)(-1)$

Now, count the number of negative signs in the given number, if their sum is an even number then, the product is positive and if the sum is an odd number then, the product is negative.

In this given number, there are two negative signs. Therefore, the product will be a positive number.

  $\begin{array}{l}=(8)(-2.65)(0.5)(-1)\\ =(8)\times (-2.65)\times (0.5)\times (-1)\\ =10.6\end{array}$

Hence, the value of the given number is, 10.6

To determine

(c)

The product of the given signed number $(-6.3)(-0.35)(2)(-1)(0.05)$.

Answer to Problem 24A

Value of the given number is -0.2205.

Explanation of Solution

Given:

  $(-6.3)(-0.35)(2)(-1)(0.05)$ is given as a signed number

Calculation:

  $(-6.3)(-0.35)(2)(-1)(0.05)$

Now count the number of negative signs in the given number, if their sum is an even number then the product is positive and if the sum is an odd number then the product is negative.

In this given number, there are 3 negative sign which is an odd number. Therefore, the product will be a negative number.

  $\begin{array}{l}=(-6.3)(-0.35)(2)(-1)(0.05)\\ =(-6.3)\times (-0.35)\times (2)\times (-1)\times (0.05)\\ =-0.2205\end{array}$

Hence, the value of the given number is -0.2205.

To determine

(d)

The product of the given signed number $(-4.03)(-0.25)(-3)(-0.127)$.

Answer to Problem 24A

Value of the given number is, 0.383

Explanation of Solution

Given:

  $(-4.03)(-0.25)(-3)(-0.127)$ is given as a signed number

Calculation:

  $(-4.03)(-0.25)(-3)(-0.127)$

Now, count the number of negative signs in the given number, if their sum is an even number then, the product is positive and if the sum is an odd number then, the product is negative.

In this given number, there are four negative signs. Therefore, the product will be a positive number.

  $\begin{array}{l}=(-4.03)(-0.25)(-3)(-0.127)\\ =(-4.03)\times (-0.25)\times (-3)\times (-0.127)\\ =0.383\end{array}$

Hence, the value of the given number is 0.383.

To determine

(e)

The product of the given signed number $(-0.03)(-100)(-0.10)$.

Answer to Problem 24A

Value of the given number is, -0.3

Explanation of Solution

Given:

  $(-0.03)(-100)(-0.10)$ is given as a signed number.

Calculation:

  $(-0.03)(-100)(-0.10)$

Now, count the number of negative signs in the given number, if their sum is an even number then, product is positive and if the sum is an odd number then, the product is negative.

In this given number, there are 3 negative signs. Therefore, the product will be a negative. number.

  $\begin{array}{l}=(-0.03)(-100)(-0.10)\\ =(-0.03)\times (-100)\times (-0.10)\\ =-0.3\end{array}$

Hence, the value of the given number is, -0.3