0.00563 in standard form:

Standard form, also known as scientific notation or exponential form, is a way to express numbers that are very large or very small. It is particularly useful for representing numbers with a large number of zeros or decimal places. In standard form, a number is written as a decimal number between 1 and 10, multiplied by a power of 10.

To express 0.00563 in standard form, we need to move the decimal point to the right until there is only one non-zero digit to the left of the decimal point. The number of places we move the decimal point will determine the power of 10.

Step-by-step process:

1. Identify the non-zero digit: In this case, the non-zero digit is 5.

2. Move the decimal point: We need to move the decimal point to the right until there is only one non-zero digit to the left. In this case, we need to move the decimal point 3 places to the right.

3. Determine the power of 10: Since we moved the decimal point 3 places to the right, the power of 10 will be -3.

4. Write the number in standard form: The number 0.00563 can be written in standard form as 5.63 x 10^-3.

Summary:

0.00563 in standard form is 5.63 x 10^-3. Standard form is a way to express numbers that are very large or very small by writing them as a decimal number between 1 and 10, multiplied by a power of 10. Moving the decimal point to the right until there is only one non-zero digit to the left determines the power of 10.