Chapter 1.2, Problem 10CYU

To determine

To evaluate: the givenexpression.

Answer to Problem 10CYU

The required value is 34

Explanation of Solution

Given: $4g+\left(3h-4j\right),$

  $g=6,h=10$ and $j=5$ .

Calculation:

Given the expression $4g+\left(3h-4j\right),$ we first substitute $g=6,h=10$ and $j=5$ .

  $4g+\left(3h-4j\right)=4\times 6+\left(3\times 10-4\times 5\right)$

To evaluate this expression we will follow the rules for order of operation, we have to first solve the bracket,

Consider $3\times 10-4\times 5$

Since, there are two types of operations namely multiplication and subtraction, we will multiply first and then subtract.

  $\begin{array}{l}3\times 10-4\times 5=30-20\\ =10\end{array}$

Thus the expression is reduced to

  $4\times 6+\left(3\times 10-4\times 5\right)=4\times 6+10$

Now again, there are two types of operations multiplication and addition, we will multiply first and then add.

  $\begin{array}{l}4\times 6+\left(3\times 10-4\times 5\right)=4\times 6+10\hfill \\ \begin{array}{l}=24+10\\ =34\end{array}\hfill \end{array}$

Conclusion:

Thus, the required value is 34