Chapter 1.1, Problem 7CYU

To determine

To evaluate: the given expression.

Answer to Problem 7CYU

The value of the expression is 36

Explanation of Solution

Given:

  $4[6(2)-3]$

Calculation:

The first step asks to solve the brackets first, now as there are two brackets, first solve the small bracket and then big bracket.

Since, 6(2) means $6\times 2$

Therefore, the expression finally reduces to $4[6(2)-3]=4[6\times 2-3]$

Now, solve the expression inside the big bracket firstly.

That is first evaluating.

  $6\times 2-3$

First multiply 6 and 2

  $6\times 2-3=12-3$

Now to subtract 3 from 12, thus we obtain that

  $6\times 2-3=9$

Thus the main expression reduces to

  $4[6(2)-3]=4[9]$

Since, 4[9] means $4\times 9=36$

Therefore the numerical value of the given expression is 36

Conclusion:

Therefore the numerical value of the given expression is 36