Chapter 8.1, Problem 84CCR

To determine

The value of the expression $-4^3+2\cdot 9$

Answer to Problem 84CCR

The value of the expression is $-46$

Explanation of Solution

Given:

  $-4^3+2\cdot 9$

Concept Used:

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

• The product/quotient of two similar sign numbers is always positive.
• The product/quotient of two numbers with opposite signs is always negative.

Calculation: In order to find the value of expression $-4^3+2\cdot 9$ as below:

  $\begin{array}{c}{4}^3=4\ast 4\ast 4=64\\ \text{So the experssion will become}\\ -4^3+2\cdot 9\\ =-64+18\\ =-46\end{array}$

Thus, the value of the expression is $-46$