📚 Topic Summary
Scientific notation is a way to express very large or very small numbers in a compact form. A number is written in scientific notation when it is expressed as a product of a number between 1 and 10 (including 1) and a power of 10. When performing operations with numbers in scientific notation, you'll need to apply the rules of exponents. For multiplication, add the exponents; for division, subtract them. Remember to adjust the resulting number back into proper scientific notation format (a number between 1 and 10 multiplied by a power of 10).
When adding or subtracting numbers in scientific notation, the powers of 10 must be the same. If they aren't, you'll need to adjust one of the numbers so that the exponents match. Once the exponents are the same, you can add or subtract the numbers in front of the powers of 10. Again, ensure your final answer is in correct scientific notation.
🧮 Part A: Vocabulary
Match the term with its correct definition:
| Term |
Definition |
| 1. Coefficient |
A. The power to which 10 is raised in scientific notation. |
| 2. Exponent |
B. A method of writing very large or very small numbers. |
| 3. Scientific Notation |
C. The number between 1 and 10 in scientific notation. |
| 4. Standard Form |
D. The usual way to write numbers (e.g., 123, 4.56). |
| 5. Power of 10 |
E. 10 raised to a specific exponent. |
✍️ Part B: Fill in the Blanks
Complete the following paragraph with the correct words:
When multiplying numbers in scientific notation, you _________ the coefficients and _________ the exponents. When dividing, you _________ the coefficients and _________ the exponents. Always make sure your final answer is in proper _________ notation.
🤔 Part C: Critical Thinking
Explain why scientific notation is useful in real-world applications. Provide at least two specific examples.
