Question

(4.5 × 10⁶) ÷ (300) = □
1.5 × 10⁶ 1,500 150 1.5 × 10⁻²

Explanation:

Step1: Convert 300 to scientific notation

300 can be written as $3\times10^{2}$.

Step2: Rewrite the division problem

The original problem $(4.5\times10^{4})\div(300)$ becomes $(4.5\times10^{4})\div(3\times10^{2})$.

Step3: Divide the coefficients and subtract the exponents

Divide the coefficients: $4.5\div3 = 1.5$.
Subtract the exponents of 10: $10^{4}\div10^{2}=10^{4 - 2}=10^{2}$.

Step4: Combine the results

Multiply the coefficient and the power of 10: $1.5\times10^{2}=150$. But wait, let's check again. Wait, $4.5\times10^{4}$ is 45000, and 300 is 300. 45000÷300 = 150? Wait, no, wait 4.5×10⁴ is 45000, 45000 divided by 300: 45000÷300 = 150? Wait, no, 300×150 = 45000. Wait, but let's do it with scientific notation again. Wait, 4.5×10⁴ divided by 3×10²: (4.5/3)×10^(4 - 2) = 1.5×10² = 150. But wait, the options: 1.5×10⁴? No. 1500? No. 150? Yes. Wait, but let's check the original numbers. Wait, 4.5×10⁴ is 45000, 300 is 3×10². 45000÷300 = 150. So the answer is 150. Wait, but let's re - calculate:

$4.5\times10^{4}=45000$

$300 = 3\times10^{2}$

$(4.5\times10^{4})\div(3\times10^{2})=\frac{4.5}{3}\times10^{4 - 2}=1.5\times10^{2}=150$

Answer:

150