Question

Evaluate the following expression. Name the property used in each step:

$\mathbf{6}\mathbf{+}\mathbf{4}\left(19-15\right)$

Short answer

The value of the expression is: $\mathbf{6}\mathbf{+}\mathbf{4}\left(19-15\right)\mathbf{=}\mathbf{30}$.

Step-by-step solution

– Given information.

Given expression is:

$6+4\left(19-15\right)$

– Write the concept.

The substitution property for multiplication, addition and subtraction is:

$\begin{array}{c}a\cdot b=c\\ a\pm b=c\end{array}$

The BODMAS rule that is according the following order to solve the expression:

$\mathrm{Brackets}\to \mathrm{Division}\to \mathrm{Multiplication}\to \mathrm{Addition}\to \mathrm{Subtraction}$

– Evaluate the expression.

The expression $6+4\left(19-15\right)$can be solved in below:

$\begin{array}{c}6+4\left(19-15\right)=6+4\left(4\right)\left[\text{Substitution\hspace{0.17em}\hspace{0.17em}Property}\right]\\ =6+24\left[\text{Substitution\hspace{0.17em}\hspace{0.17em}Property}\right]\\ =30\left[\text{Substitution\hspace{0.17em}\hspace{0.17em}Property}\right]\end{array}$