Question

What is 463,746,48.74783474948728484 times 949,735,745,974,39.7843781879379837893127382? a) 4.41 x 10^31 b) 4.395 x 10^31 c) 4.395 x 10^30 d) 4.41 x 10^30

Answer 1

The result of
`\(463,746,48.74783474948728484 * 949,735,745,974,39.7843781879379837893127382\)` is approximately
`\( \mathbf{b) \ 4.395 * 10^(31)} \).`

Step-by-step explanation:

To find the product of the given numbers, we perform the multiplication:

`\[ 463,746,48.74783474948728484 * 949,735,745,974,39.7843781879379837893127382 \]`

The result is approximately
`\( 4.395 * 10^(31) \).` This can be expressed in standard form, where the decimal is moved to the right after the first non-zero digit, and the exponent represents the number of decimal places moved:

b)\
`[ 4.395 * 10^(31) \]`

Expressing the result in scientific notation allows for a more concise representation of the large number, where the coefficient is between 1 and 10, and the exponent indicates the scale of the number.

Understanding scientific notation is crucial when dealing with very large or very small numbers. It simplifies the representation of such numbers and facilitates easier comparison and computation. In this case, the result is a very large number, and expressing it in scientific notation provides a clear and concise form for practical use.