Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the quotient of $3.496 \\times 10^{9}$ and $3.8 \\times 10^{5}$…

Question

what is the quotient of $3.496 \times 10^{9}$ and $3.8 \times 10^{5}$ expressed in scientific notation?
answer attempt 1 out of 2
answer: $\square \times 10^{\square}$

Explanation:

Step1: Divide the decimal coefficients

$\frac{3.496}{3.8} = 0.92$

Step2: Subtract the exponents of 10

$10^{9-5} = 10^{4}$

Step3: Adjust to proper scientific notation

Since $0.92 = 9.2 \times 10^{-1}$, multiply with $10^4$:
$9.2 \times 10^{-1} \times 10^{4} = 9.2 \times 10^{3}$

Answer:

$9.2 \times 10^{3}$