Q. 1.43 - An Introduction to General, Organic, and Biological Chemistry

Question

Evaluate each of the following: $\left(1.4\right)$

a.  $4\times \left(-8\right)=\_\_\_$.

b. $-12-48=\_\_\_$.

c. $\frac{-168}{-4}=\_\_\_$.

Step-by-Step Solution

Answer

a. The answer is $4\times \left(-8\right)=-32$.

b. The answer is $-12-48=-60$.

c. The answer is  $\frac{-168}{-4}=42$.

Part (a) step 1: Given Information

We need to evaluate $4\times \left(-8\right)=\_\_\_$.

Part (a) step 2: Calculation

Here,  $4$ multiplied to $-8$.

When a positive sign multiplies to a negative sign then the result is a negative sign.

$$\begin{gathered} =4\times \left(-8\right) \\ =-32 \end{gathered}$$

Part (b) step 1: Given Information

We need to evaluate $-12-48=\_\_\_$.

Part (b) step 2: Calculation

Now,

When two negative sign adds then the result comes in a negative sign.

$$\begin{gathered} =-12-48 \\ =-12+\left(-48\right) \\ =-60 \end{gathered}$$

Part (c) step 1: Given Information

We need to evaluate $\frac{-168}{-4}=\_\_\_$.

Part (c) step 2: Calculation

Here,

When two negative signs are divided then the result comes in a positive sign.

$-168$divided by $-4$

$$\begin{gathered} =\frac{-168}{-4} \\ =\frac{168}{4} \\ =42 \end{gathered}$$