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### 3. Write \(-8 \frac{1}{4}\) as an improper fraction.

To convert the mixed number \(-8 \frac{1}{4}\) to an improper fraction:
1. Multiply the whole number \(-8\) by the denominator \(4\):  
   \[
   -8 \times 4 = -32
   \]
2. Add the numerator \(1\) to the result:  
   \[
   -32 + 1 = -31
   \]
3. The improper fraction is \(\frac{-31}{4}\).

So, \(-8 \frac{1}{4}\) as an improper fraction is \(\frac{-31}{4}\).

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### 4. Write 4,332 in scientific notation.

To write 4,332 in scientific notation:
1. Move the decimal point 3 places to the left to get a number between 1 and 10:
   \[
   4.332
   \]
2. Since the decimal was moved 3 places, multiply by \(10^3\).

Therefore, \(4,332\) in scientific notation is:
\[
4.332 \times 10^3
\]

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Would you like any further explanations or additional details?

Here are 5 related questions:
1. How do you convert other mixed numbers to improper fractions?
2. What are the steps to simplify improper fractions?
3. How would you express negative numbers in scientific notation?
4. What is the process to convert numbers smaller than 1 into scientific notation?
5. How can improper fractions be converted back to mixed numbers?

**Tip:** When working with scientific notation, always ensure that the first factor (the coefficient) is between 1 and 10, and count how many places the decimal moves for the power of 10.

Write -8 1/4 as an improper fraction. Write 4,332 in scientific notation.

Learn how to convert the mixed number -8 1/4 into an improper fraction and how to express the number 4,332 in scientific notation. This step-by-step guide helps students in Grades 6-8 understand key mathematical concepts.

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