Final answer:
The number 5.3 x 10² in standard form is 530. Scientific notation is used to easily represent large or small numbers by writing them as the product of a number between 1 and 10 and a power of 10.
Step-by-step explanation:
To write 5.3 x 10² in standard form, you need to understand the concept of scientific notation. Scientific notation is a way of writing numbers that are too large or too small to be conveniently written in decimal form. In scientific notation, a number is written as the product of a number between 1 and 10 and a power of 10.
For the number 5.3 x 10², the power of 10 is 10², which means 10 multiplied by itself once, resulting in 100. To convert this to standard form, multiply 5.3 by 100. This gives you 530, which is the number in standard notation.
Remember that when converting from scientific to standard notation, you move the decimal point to the right for positive exponents (10² in this case) and to the left for negative exponents.