Question

How do you write 6.6 × 10 to the power of 2 in standard form

Answer 1

The standard form of
`\(6.6 * 10^2\)` is 660.

Step-by-step explanation:

In standard form, a number is expressed as the product of a coefficient and a power of 10. For
`\(6.6 * 10^2\`), 6.6 is the coefficient, and
`\(10^2\)`indicates that the decimal point is shifted two places to the right. Thus, the standard form is 660.

Breaking it down further,
`\(10^2\)` means 10 raised to the power of 2, which is 100. Therefore,
`\(6.6 * 100\)` simplifies to 660, representing the same numerical value in standard form.

Understanding standard form is essential in scientific notation and simplifying large or small numbers. It provides a concise and consistent way of representing numbers, particularly when dealing with calculations involving significant digits and powers of 10.