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In any number, a decimal point is a dot used to separate the whole number part from the fractional part. For example, in the number 0.58, the decimal point comes after the zero and before the five.
Understanding where to locate the decimal point is crucial in converting numbers to scientific notation. The decimal point enables us to easily manipulate numbers by moving it to a position that fits our needs.
When converting to scientific notation, we often move the decimal point to place the number into a standard form, typically between 1 and 10. This operation ensures that the number is more manageable and easier to express in a compact form. In this exercise, we initially moved the decimal point one place to the right in 0.58 to get 5.8.

An exponent refers to the number of times a number, called the base, is multiplied by itself. For example, in 10^3, the exponent is 3, indicating that 10 is multiplied by itself three times (10 * 10 * 10).
When converting to scientific notation, the exponent of 10 shows how many places the decimal point was moved. If the decimal is moved to the right, the exponent is negative. Conversely, if moved to the left, the exponent is positive.
In our exercise, moving the decimal point one place to the right in 0.58 yields an exponent of -1, because moving the decimal to the right means we deal with a fraction less than one.

Converting a number to scientific notation involves combining the new number formed after moving the decimal point with the correct exponent of 10. This conversion aims to represent the number more compactly and efficiently.
For example, while working on the conversion of 0.58, the conversion steps include:

• Moving the decimal point one place to the right to get 5.8
• Noting that the decimal point moved one place gives an exponent of -1
• Combining the new number (5.8) with the exponent (-1) to get 5.8 x 10^-1

Thus, the scientific notation for 0.58 is 5.8 x 10^-1, making it easier to handle, especially in scientific and academic work.