Subjects algebra

Product Standard Form

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1. **State the problem:** Calculate the product $1.827 \times 10 \times 9000 \times 6$ and express the answer in standard form. 2. **Calculate step-by-step:** - Multiply $1.827$ by $10$: $$1.827 \times 10 = 18.27$$ - Multiply the result by $9000$: $$18.27 \times 9000 = 164430$$ - Finally, multiply by $6$: $$164430 \times 6 = 986580$$ 3. **Express in standard form:** Standard form means writing the number as $a \times 10^n$ where $1 \leq a < 10$ and $n$ is an integer. $$986580 = 9.8658 \times 10^5$$ **Final answer:** $$9.8658 \times 10^5$$