Q8. - Algebra 1

Question

The simplified value of the expression $-23.94÷\left(10.5\right)$.

Step-by-Step Solution

Answer

The simplified value of the expression $-23.94÷\left(10.5\right)$ is $-2.28$.

Step 1. Given

The expression $-23.94÷\left(10.5\right)$.

Step 2. Concept.

More numbers are separated by multiplication signs $\left(\right),\times \mathrm{or}·$.

 

Division in real numbers is multiplication by reciprocal. If $b\ne 0$, then,

$\begin{array}{c}a÷b=a\left(\frac{1}{b}\right)\\ =\frac{a}{b}\end{array}$     

 

Here, $\frac{1}{b}$ is the multiplicative inverse.

Step 3. Calculation.

Consider the expression $-23.94÷\left(10.5\right)$.

 

Recall that division in real numbers is multiplication by reciprocal. If $b\ne 0$, then,

$\begin{array}{c}a÷b=a\left(\frac{1}{b}\right)\\ =\frac{a}{b}\end{array}$ 

 

Here, $\frac{1}{b}$ is the multiplicative inverse.

 

Apply it,

$\begin{array}{c}-23.94÷\left(10.5\right)=-23.94\left(\frac{1}{10.5}\right)\\ =\frac{-23.94}{10.5}\end{array}$   

Step 4. Simplification.

Recall that product of two real numbers is obtained when they are multiplied together. That is two or more numbers are separated by multiplication signs $\left(\right),\times \mathrm{or}·$.

 

Simplify it,

$\begin{array}{c}-23.94÷\left(10.5\right)=-23.94\left(\frac{1}{10.5}\right)\\ =\frac{-23.94}{10.5}\\ =-\frac{23.94}{10.5}\\ =-2.28\end{array}$ 

Thus, the simplified value of the expression $-23.94÷\left(10.5\right)$ is $-2.28$.