How many times larger is 4 • 107 than 8 • 101?

Question

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Remaining Attempts : 3

Answer 1

To find out how many times larger \(4 \times 10^7\) is than \(8 \times 10^1\), you can perform the following calculation:

1. Divide \(4 \times 10^7\) by \(8 \times 10^1\):

\[ \frac{4 \times 10^7}{8 \times 10^1} \]

2. Simplify the expression:

\[ = \frac{4}{8} \times \frac{10^7}{10^1} \]

3. Calculate:

\[ = \frac{1}{2} \times 10^{7-1} \] \[ = \frac{1}{2} \times 10^6 \] \[ = \frac{10^6}{2} \] \[ = 5 \times 10^5 \]

So, \(4 \times 10^7\) is \(5 \times 10^5\) times larger than \(8 \times 10^1\).

Thus, the answer is \(500000\) or \(5 \times 10^5\) times.