Final answer:
To find the product of (-7/10), (-2.1), and (100), we use the commutative and associative properties of multiplication, resulting in 147 as the final product.
Step-by-step explanation:
The product of the numbers (-7/10), (-2.1), and (100) is calculated by utilizing the commutative and associative properties of multiplication. According to these properties, the order of multiplication does not affect the result, allowing us to rearrange the numbers for easier computation.
By first multiplying the whole numbers 100 and (-2.1), we apply the fact that when two numbers with opposite signs multiply, the answer has a negative sign (rule 7). Thus, 100 x (-2.1) = -210. Next, we multiply this result by the fractional number (-7/10), noting that when two negative numbers multiply, the answer is positive (rule 6). So, (-210) x (-7/10) = 147.
The final product is 147.