Scientific Notation 9C9Ae3

1. **State the problem:** We need to multiply $95624000$ by $5600$ and express the result in scientific notation correct to 3 significant figures. 2. **Recall scientific notation:** A number in scientific notation is written as $$a \times 10^n$$ where $1 \leq a < 10$ and $n$ is an integer. 3. **Multiply the numbers:** $$95624000 \times 5600 = 95624000 \times (5.6 \times 10^3)$$ 4. **Rewrite $95624000$ in scientific notation:** $$95624000 = 9.5624 \times 10^7$$ 5. **Multiply the coefficients and add exponents:** $$9.5624 \times 5.6 = 53.55944$$ $$10^7 \times 10^3 = 10^{7+3} = 10^{10}$$ So, $$95624000 \times 5600 = 53.55944 \times 10^{10}$$ 6. **Convert $53.55944$ to a number between 1 and 10:** $$53.55944 = 5.355944 \times 10^1$$ 7. **Adjust the exponent accordingly:** $$53.55944 \times 10^{10} = 5.355944 \times 10^{1+10} = 5.355944 \times 10^{11}$$ 8. **Round to 3 significant figures:** $$5.355944 \approx 5.36$$ 9. **Final answer:** $$5.36 \times 10^{11}$$ Therefore, $$95624000 \times 5600 = 5.36 \times 10^{11}$$