Question

How do you change scientific notation to standard form?​

Answer 1

To convert from scientific to standard form, identify the coefficient and power of ten, move the decimal point right for positive powers or left for negative powers, and fill in zeroes as needed.

Step-by-step explanation:

To change a number from scientific notation to standard form, you need to adjust the decimal point according to the power of ten. Scientific notation expresses a number as a product of a coefficient (a number between 1 and 10) and a power of ten. Let's go through the process step-by-step:

1. Identify the coefficient and the power of 10 in the scientific notation.
2. If the power of 10 is positive, move the decimal point in the coefficient to the right as many times as the power indicates.
3. If the power of 10 is negative, move the decimal point in the coefficient to the left.
4. Fill in any empty decimal places with zeroes.

For example, to convert 3.16 x 104 to standard form, you move the decimal four places to the right, getting 31,600. Conversely, to convert 4.57 x 10-3 to standard form, you move the decimal three places to the left, obtaining 0.00457.