Question

How can i solve this
4.217 x 10^5 km.

Answer 1

The distance
`\(4.217 * 10^5\)`km is already in scientific notation. To express a different number in scientific notation, move the decimal to form a number between 1 and 10, multiplied by a power of 10.

The distance
`\(4.217 * 10^5\)` km is already in scientific notation. However, let's break down the steps to understand how a number might be converted to scientific notation:

Determine the Decimal Placement: Locate the position of the decimal point in the original number. For example, if the number is 421,700, the decimal is after the first digit .

Adjust the Decimal for a Number Between 1 and 10: Move the decimal to create a number between 1 and 10. For 421,700, this becomes 4.217.

Determine the Exponent: Count the number of places the decimal moved. In this case, it moved 5 places to the right.

Express in Scientific Notation: Combine the adjusted number and the exponent to represent the original number in scientific notation. For 421,700, it becomes
`\(4.217 * 10^5\)`.

This demonstrates how the number is written in scientific notation, where the decimal is adjusted to create a number between 1 and 10, multiplied by a power of 10 .