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To convert \( 56.42 \times 10^{-6} \) into correct scientific notation, follow these steps:

### Step 1:
Move the decimal point in 56.42 to the left to get a number between 1 and 10. So, we get \( 5.642 \).

### Step 2:
Since we moved the decimal one place to the left, we add 1 to the exponent of 10. The exponent was \(-6\), so now it becomes \(-6 + 1 = -5\).

### Final result:
\[
56.42 \times 10^{-6} = 5.642 \times 10^{-5}
\]

- **Coefficient (green box):** \( 5.642 \)
- **Exponent (yellow box):** \( -5 \)

Would you like further clarification? Here are some related questions to explore:

1. What happens when you move the decimal to the right instead of left in scientific notation?
2. How do you compare numbers in scientific notation?
3. How can you multiply two numbers in scientific notation?
4. Can scientific notation be used for negative numbers?
5. What is the process for converting numbers back from scientific notation?

**Tip:** When adjusting the decimal place, always adjust the exponent in the opposite direction to maintain the correct value.

Convert the following number into correct scientific notation: 56.42 × 10^(-6)

Learn how to convert the number 56.42 × 10^(-6) into proper scientific notation. This problem explains how to adjust the decimal point and exponent to express the number correctly as 5.642 × 10^(-5). Suitable for students in Grades 9-12.

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