Question

Evaluate the expression. Justify each of your steps.

$6\left(13\right)\left(0.5\right)$

Short answer

Value of given expression is $39$.

Step-by-step solution

Step-1- Concept of commutative property and associative property of multiplication

The commutative property is a math rule says thatthe order in which we multiply numbers does not change the final product.

$A\times B=B\times A$

The associative property of multiplication states that the product of three or more numbers remains the same regardless of how the numbers are grouped,

$A\times \left(B\times C\right)=\left(A\times B\right)\times C$.

Step-2-Evaluating given expression

$6\left(13\right)\left(0.5\right)$

Using Order of operations,

$6\left(13\right)\left(0.5\right)=\left(6\left(13\right)\right)\left(0.5\right)$.

Using Commutative property,

$6\left(13\right)\left(0.5\right)=\left(\left(13\right)6\right)\left(0.5\right)$.

Using associative property,

$\begin{array}{c}6\left(13\right)(0.5)=13\left(6(0.5)\right)\\ 6\left(13\right)(0.5)=13\left(3\right)\\ 6\left(13\right)(0.5)=39\end{array}$

Step-3-Conclusion

Therefore, the value of given expression is 39.