Chapter 1.1, Problem 27PPS

To determine

To evaluate: the given expression

Answer to Problem 27PPS

The numerical value of the given expression is 28.

Explanation of Solution

Given:

  $7\left[8\left(3\right)÷\left(15-9\right)\right]$

Calculation:

The first step asks to solve the brackets first,

Now as there are two types of brackets, first solve the small brackets and then big bracket.

Solving the smaller bracket,

  $8\left(3\right)=8\times 3=24$

And

  $15-9=6$

Therefore, the expression finally reduces to

  $7\left[8\left(3\right)÷\left(15-9\right)\right]=7\left[24÷6\right]$

Now, solve the expression inside the big bracket firstly.

That is divide 24 by 6.

  $24÷6=4$

Thus the main expression reduces to

  $7\left[8\left(3\right)÷\left(15-9\right)\right]=7\left[4\right]$

Since, $7\left[4\right]=7\times 4=28$

Therefore the numerical value of the given expression is 28.

  $7\left[8\left(3\right)÷\left(15-9\right)\right]=28$

Conclusion:

Therefore the numerical value of the given expression is 28.