Dividing Numbers In Scientific Notation

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To divide numbers in scientific notation:

Step 1 : Group the numbers together.

Step 2 : Divide the numbers.

Step 3 : Use the law of indices to simplify the powers of 10.

Step 4 : Give the answer in scientific notation.

Example:

Evaluate , giving your answer in scientific notation.

Solution:

Text Box: (group the numbers) = 2.3 (divide the numbers) = (law of indices: am ¸ an = am – n) = 2.3 ´ 10–1 (make sure answer is in scientific notation)

Example :

Evaluate 12.4 × 0.04, giving your answer in scientific notation.

Solution:

divide in scientific notation

Dividing Numbers Written in Scientific Notation
Two examples of dividing number written in scientific notation.

How to divide numbers in scientific notation?
1. Divide the whole numbers.
2. Divide the powers of 10 using the quotient rule for exponents.
3. Make sure that the final answer is written in scientific notation.

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