Chapter 1.4, Problem 32IP

To determine

To simplify the expression $11\cdot \left(t\cdot 4\right)$ .

Answer to Problem 32IP

  $44t$

Explanation of Solution

Given information:

The expression: $11\cdot \left(t\cdot 4\right)$ .

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.

Associative Property of multiplication: $\left(a\cdot b\right)\cdot c=a\cdot \left(b\cdot c\right)$

Calculation:

In order to simplify the expression $11\cdot \left(t\cdot 4\right)$ , first remove the parenthesis and then combine the like terms to simplify further as shown below,

  $\begin{array}{c}11\cdot \left(t\cdot 4\right)=11\cdot \left(4\cdot t\right)\\ =\left(11\cdot 4\right)\cdot t\\ =\left(44\right)\cdot t\\ =44t\end{array}$

Thus, the given expression simplifies to $44t$ .