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.