How many times greater is 3.08 x 10^8 than 4.4 x 10^6? Express your answer using either standard notation or scientific notation.

1 answer

To find how many times greater \( 3.08 \times 10^8 \) is than \( 4.4 \times 10^6 \), we can divide the two numbers:

\[ \frac{3.08 \times 10^8}{4.4 \times 10^6} \]

We can separate the coefficients and the powers of ten:

\[ \frac{3.08}{4.4} \times \frac{10^8}{10^6} \]

Calculating the power of ten:

\[ \frac{10^8}{10^6} = 10^{8-6} = 10^2 \]

Now we need to calculate the coefficient:

\[ \frac{3.08}{4.4} \]

Calculating it gives approximately:

\[ 0.7 \]

Now, combining the coefficient and the power of ten:

\[ 0.7 \times 10^2 \]

To express this in standard scientific notation, we can write:

\[ 7.0 \times 10^1 \]

Thus, the final answer is:

\[ \boxed{7.0 \times 10^1} \]

Alternatively, simplifying the previous calculation gives:

\[ 70 \]

in standard notation, which is also an acceptable answer. Thus, \( 3.08 \times 10^8 \) is \( 70 \) times greater than \( 4.4 \times 10^6 \).