Write this number in scientific notation: 42,000.

To write \( 42,000 \) in scientific notation:

1. Move the decimal point so that there is only one non-zero digit to the left of the decimal point. For \( 42,000 \), this becomes \( 4.2 \).
2. Count the number of places the decimal has moved from its original position. Here, it moves 4 places to the left.
3. Multiply by \( 10 \) raised to the power of the number of places moved. 

Thus, \( 42,000 \) in scientific notation is:

\[
4.2 \times 10^4
\]

Would you like more details or have any questions?

Here are 5 related questions for practice:

1. Convert \( 0.0056 \) to scientific notation.
2. Write \( 7,890,000 \) in scientific notation.
3. Convert \( 6.3 \times 10^3 \) to standard form.
4. What is \( 2.9 \times 10^2 \) in standard notation?
5. Express \( 0.00042 \) in scientific notation.

**Tip**: Scientific notation is helpful for representing very large or very small numbers concisely!

Learn how to express the number 42,000 in scientific notation. This problem demonstrates key concepts such as moving the decimal point and applying powers of 10. Ideal for students in Grades 6-8 learning about number systems and scientific notation.

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