📚 Topic Summary
Scientific notation is a way to express very large or very small numbers in a compact form. It is written as $a \times 10^b$, where $1 \le |a| < 10$ and $b$ is an integer. Converting from scientific notation to standard decimal form involves moving the decimal point in 'a' by 'b' places. If 'b' is positive, you move the decimal point to the right; if 'b' is negative, you move it to the left. For example, $3.2 \times 10^4$ becomes 32,000, and $2.5 \times 10^{-3}$ becomes 0.0025.
This worksheet will help you practice converting numbers from scientific notation into standard decimal form. Get ready to move those decimals!
🔤 Part A: Vocabulary
Match the term with its definition:
| Term |
Definition |
| 1. Scientific Notation |
A. A number between 1 and 10 multiplied by a power of 10. |
| 2. Standard Form |
B. The usual way of writing numbers with digits in place value positions. |
| 3. Exponent |
C. The number that indicates the power to which a base is raised. |
| 4. Decimal Point |
D. A symbol used to separate the whole number part from the fractional part of a number. |
| 5. Coefficient |
E. The numerical factor in a term. |
(Match the terms above with their definitions. For example: 1-A, 2-B, etc.)
✍️ Part B: Fill in the Blanks
Complete the following paragraph with the correct terms:
When converting from ______________ to ______________, you need to move the ______________. If the exponent is positive, move the decimal to the __________. If the exponent is negative, move it to the __________. The number of places you move the decimal is determined by the ______________.
🤔 Part C: Critical Thinking
Why is scientific notation useful in science and engineering? Provide an example of a very large or very small number that is commonly expressed in scientific notation, and explain why using scientific notation is more convenient than writing it in standard form.