Evaluate the expression. Justify each of your steps.

5. $(- 6) ( 1 ) ( 10)$

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

Suppose a, b, and c is three real numbers.

Associative property of Multiplication

Property: $\text{(a} · \text{b)} · \text{c}=\text{a} · ( \text{b} · \text{c} )$

If you are multiplying three real numbers, the product is always the same regardless of their grouping.

Example: $\text{(6} · \text{4)} · \text{3}=\text{6} · ( \text{4} · \text{3} ) = 72$

Associative property of Multiplication states thatif you are multiplying three real numbers, the product is always the same regardless of their grouping.

Property:$\text{(a} · \text{b)} · \text{c}=\text{a} · ( \text{b} · \text{c} )$

Example: $\text{(6} · \text{4)} · \text{3}=\text{6} · ( \text{4} · \text{3} ) = 72$

Associative Property of Multiplication: $\text{(a} · \text{b)} · \text{c}=\text{a} · ( \text{b} · \text{c} )$

So, we can multiply the numbers in any order.

$\begin{array}{l}(-6)\left(1\right)\left(10\right)\\ (-6·1)\left(10\right)(\text{AssociativePropertyofMultiplication)}\\ -6(1·10)(\text{AssociativePropertyofMultiplication)}\\ -6·10=-60\end{array}$

Thus, the value of the expression is –60.