Chapter 1.4, Problem 29P

Simplify each expression. Justify each step.

$(m-16)(-7÷-7)$

To determine

To write: $\left(m-16\right)\left(-7÷-7\right)$ in the simplified form.

Answer to Problem 29P

  $m-16$

Explanation of Solution

Given:

The expression: $\left(m-16\right)\left(-7÷-7\right)$

Concept Used:

Multiplicative identity property: 1 is the multiplicative identity

  $a\cdot 1=1\cdot a=a$

To simplify the expression $\left(m-16\right)\left(-7÷-7\right)$ , 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 division inside the parenthesis is solved.

  $\left(m-16\right)\left(-7÷-7\right)=\left(m-16\right)\left(1\right)$

Now, 1 is the multiplicative identity, any number multiplied by 1 remains same. Thus,

  $\begin{array}{c}\left(m-16\right)\left(-7÷-7\right)=\left(m-16\right)\left(1\right)\\ =m-16\end{array}$