1. **State the problem:** Calculate the product of the numbers $+8$, $+12$, $2$, $-3$, $-1.7$, and $+10$. 2. **Recall the multiplication rules:** - Multiplying positive numbers results in a positive number. - Multiplying by a negative number changes the sign. - The product of an even number of negative factors is positive; an odd number is negative. 3. **Calculate step-by-step:** - Multiply $+8$ and $+12$: $$8 \times 12 = 96$$ - Multiply the result by $2$: $$96 \times 2 = 192$$ - Multiply by $-3$: $$192 \times (-3) = -576$$ - Multiply by $-1.7$: $$-576 \times (-1.7) = 979.2$$ (negative times negative is positive) - Finally, multiply by $+10$: $$979.2 \times 10 = 9792$$ 4. **Final answer:** The product is $9792$.