Q3. - Algebra 1

Question

The simplified value of the expression $42.3÷\left(-6\right)$.

Step-by-Step Solution

Answer

The simplified value of the expression $42.3÷\left(-6\right)$ is $-7.05$.

Step 1.

The expression $42.3÷\left(-6\right)$.

Step 2. Concept.

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

 

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

$a÷b=a\left(\frac{1}{b}\right)$

        $=\frac{a}{b}$

 

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

Step 3. Calculation.

Consider the expression $42.3÷\left(-6\right)$.

 

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

$a÷b=a\left(\frac{1}{b}\right)$

        $=\frac{a}{b}$

 

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

 

Apply it,

$42.3÷\left(-6\right)=42.3\left(\frac{1}{-6}\right)$

                   $=\frac{42.3}{-6}$

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,

$42.3÷\left(-6\right)=42.3\left(\frac{1}{-6}\right)$

$=\frac{42.3}{-6}$

$=-\frac{42.3}{6}$

$=-7.05$

Thus, the simplified value of the expression $42.3÷\left(-6\right)$ is $-7.05$.