Chapter 1.2, Problem 4STP

Solve each exercise and enter your answer on the grid provided. Round your answers to the nearest hundredth if necessary.

What is the value of $-4d^2+15d^2÷5$ for $d=1?$

To determine

To find: the value of $-4d^2+15d^2÷5$ for $d=1$ .

Answer to Problem 4STP

  $-1$

Explanation of Solution

Given:

The expression $-4d^2+15d^2÷5$

Substitute $d=1$ in $-4d^2+15d^2÷5$ ,

  $-4{\left(1\right)}^2+15{\left(1\right)}^2÷5=-4+15÷5$

To simplify the expression $-4+15÷5$ , rules of order of operations are to be followed.

According to it, first parenthesis is solve, then exponent, then division, then multiplication, then addition and lastly subtraction.

So, here first perform the division,

  $\begin{array}{c}-4+15÷5=-4+3\\ =-1\end{array}$