Chapter 1.7, Problem 30CCR

To determine

Simplify the expression.

Answer to Problem 30CCR

The solution of the expression is $16\cdot y$ .

Explanation of Solution

Given:

Expression $8\cdot \left(y\cdot 2\right)$ .

Concept Used:

• To get rid of a number in addition from one side, subtract the same number from both sides of equal sign.
• To get rid of a number in subtraction from one side, add the same number both sides of equal sign.
• To get rid of a number in multiplication from one side, divide the same number from both sides of equal sign.
• To get rid of a number in division from one side, multiply the same number both sides of equal sign.

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 solve the given equation $8\cdot \left(y\cdot 2\right)$ by performing some basic algebraic operations to get rid of the other numbers and terms associated with it.

Here to solve the expression simplify as shown below,

  $\begin{array}{c}8\cdot \left(y\cdot 2\right)\\ =16\cdot y\end{array}$

Thus, the solution of the expression is $16\cdot y$ .