https://file.aiquickdraw.com/mathbot/file/1727328614944om7bggkk.jpg

Let's go through the conversions for each question.

### Convert to Scientific Notation:
1. **0.0134**  
   \( = 1.34 \times 10^{-2} \)
   
2. **0.0000761**  
   \( = 7.61 \times 10^{-5} \)
   
3. **3,400**  
   \( = 3.4 \times 10^{3} \)
   
4. **8,980,000**  
   \( = 8.98 \times 10^{6} \)

### Convert to Standard Form:
5. **9.01 × 10^5**  
   \( = 901,000 \)
   
6. **3.78 × 10^7**  
   \( = 37,800,000 \)
   
7. **4.32 × 10^{-3}**  
   \( = 0.00432 \)
   
8. **5.781 × 10^{-5}**  
   \( = 0.00005781 \)

Would you like a detailed explanation on any of these conversions?

Here are 5 related questions:
1. How do you convert a large number like 7,000,000 into scientific notation?
2. How can you express \(5.6 \times 10^{-4}\) in standard form?
3. What are the benefits of using scientific notation for very large or small numbers?
4. How do you convert \(1.25 \times 10^3\) to standard form?
5. What is the difference between positive and negative exponents in scientific notation?

**Tip:** Scientific notation is very helpful for working with extremely large or small numbers, as it makes calculations simpler and reduces errors when dealing with many zeroes.

For the following exercises, convert numbers to scientific notation and convert scientific notation to standard form.

This lesson helps students convert numbers between scientific notation and standard form. It covers basic exponent rules, scientific notation, and standard form, suitable for students in grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation