The place value of 6 in the number 42.9236 is **six ten-thousandths**.

To explain:

- The number 42.9236 can be broken down as:
  - 4 is in the tens place.
  - 2 is in the units place.
  - 9 is in the tenths place.
  - 2 is in the hundredths place.
  - 3 is in the thousandths place.
  - 6 is in the ten-thousandths place.

So, the 6 is in the ten-thousandths position, which is \( \frac{6}{10,000} \).

Do you want details or have any questions?

Here are five related questions to consider:
1. What is the place value of 9 in 42.9236?
2. What is the decimal representation of the number in terms of fractions?
3. How do you determine the place value of a digit in a decimal number?
4. What is the place value of 3 in 1234.5678?
5. What is the significance of place value in understanding numbers?

**Tip:** Understanding place value helps in accurately reading and interpreting large and small numbers, especially in scientific and financial contexts.

Learn how to determine the place value of 6 in the number 42.9236. This problem explores decimal numbers and their components, including tenths, hundredths, thousandths, and ten-thousandths places. Suitable for students in Grades 3-5.

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