Divide the following and express your answer in appropriate scientific notation: $$ \left(4.14 \times 10^{53}\right) \div\left(4.5 \times 10^{8}\right) $$ quotient $$ =\square $$

Question

UpStudy AI · Accepted Answer

We start with the expression:

$$
\frac{4.14 \times 10^{53}}{4.5 \times 10^{8}}
$$

**Step 1. Divide the coefficients:**

$$
\frac{4.14}{4.5} \approx 0.92
$$

**Step 2. Subtract the exponents:**

$$
10^{53} \div 10^{8} = 10^{53-8} = 10^{45}
$$

This gives us:

$$
0.92 \times 10^{45}
$$

**Step 3. Convert to proper scientific notation:**

In proper scientific notation the coefficient must be between 1 and 10. To adjust,

$$
0.92 \times 10^{45} = 9.2 \times 10^{44}
$$

Thus, the quotient is:

$$
\boxed{9.2 \times 10^{44}}
$$
The quotient is $$ 9.2 \times 10^{44} $$.

Divide the following and express your answer in appropriate scientific notation: \[ \left(4.14 \times 10^{53}\right) \div\left(4.5 \times 10^{8}\right) \] quotient \( =\square \)

Upstudy AI Solution

Answer

Solution

Beyond the Answer

Related Questions

Latest Arithmetic Questions