Q26. - Algebra 1

Question

Evaluate the following expression and name the property used in each step:

$\mathbf{3}\mathbf{.5}\mathbf{\cdot }\mathbf{3}\mathbf{\cdot }\mathbf{6}$

Step-by-Step Solution

Answer

The value of the expression is: $\mathbf{3}\mathbf{.5}\mathbf{\cdot }\mathbf{3}\mathbf{\cdot }\mathbf{6}\mathbf{=}\mathbf{63}$.

Step 1. Given information.

The given expression is:

$3.5\cdot 3\cdot 6$

Step 2. Write the concept.

The substitution property for multiplication, addition, and subtraction is:

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

The Commutative property of multiplication is:

$a\cdot b=b\cdot a$

Step 3. Evaluate the expression.

The expression $3.5\cdot 3\cdot 6$ can be solved below:

$\begin{array}{l}3.5\cdot 3\cdot 6=\left(3.5\cdot 6\right)\cdot 3 \left[\text{Commutative\hspace{0.17em}\hspace{0.17em}Property}\right]\\ =\left(21\right)\cdot 3 \left[\text{Substitution\hspace{0.17em}\hspace{0.17em}Property}\right]\\ =63 \left[\text{Substitution\hspace{0.17em}\hspace{0.17em}Property}\right]\end{array}$