exponents and scientific notation worksheets

📚 Topic Summary

Exponents are a shorthand way of showing repeated multiplication. For example, $2^3$ means $2 \times 2 \times 2$. The '2' is the base, and the '3' is the exponent. Scientific notation is a way to write very large or very small numbers in a compact form. It uses exponents to express a number as a decimal between 1 and 10 multiplied by a power of 10. For example, 3,000 can be written as $3 \times 10^3$. This worksheet will help you practice using both exponents and scientific notation.

🧠 Part A: Vocabulary

Match the term with its definition:

1. 📝Exponent
2. 🧮Base
3. 🔬Scientific Notation
4. 💯Power of 10
5. ➗Coefficient

Definitions:

1. A number multiplied by itself a certain number of times.
2. The number that is raised to a power.
3. A way of writing very large or very small numbers.
4. The numerical factor in scientific notation.
5. 10 raised to an exponent.

Match them up! (e.g., 1 goes with B, 2 goes with ...)

✏️ Part B: Fill in the Blanks

Complete the following paragraph using the words provided below.

When we write a number in __________, we express it as a number between 1 and 10, multiplied by a __________. The exponent indicates how many places to move the __________ point. A __________ exponent means the number is greater than 1, while a __________ exponent means the number is less than 1.

Words: positive, decimal, scientific notation, power of 10, negative

💡 Part C: Critical Thinking

Why is scientific notation useful in fields like astronomy or microbiology? Give at least two reasons.