**Introduction:**
In this question, we are given a number 3286.4023 and we need to find the difference between the place value of 4 and 2 in this number. To solve this problem, we need to understand the concept of place value and how it relates to the digits in a number.

**Understanding Place Value:**
The place value of a digit in a number determines its position or location within the number. Each digit has a specific place value based on its position. For example, in the number 3286.4023, the digit 3 is in the thousands place, the digit 2 is in the hundreds place, the digit 8 is in the tens place, the digit 6 is in the ones place, the digit 4 is in the tenths place, the digit 0 is in the hundredths place, the digit 2 is in the thousandths place, and the digit 3 is in the ten-thousandths place.

**Finding the Place Value:**
To find the place value of a digit, we need to determine its position in relation to the decimal point. The place value of a digit to the left of the decimal point is determined by its position from right to left, starting with the ones place. The place value of a digit to the right of the decimal point is determined by its position from left to right, starting with the tenths place.

**Place Value of 4:**
In the given number 3286.4023, the digit 4 is in the tenths place. The place value of 4 in the tenths place can be calculated as follows:

4 * 0.1 = 0.4

Therefore, the place value of 4 in the number 3286.4023 is 0.4.

**Place Value of 2:**
In the given number 3286.4023, the digit 2 is in the thousandths place. The place value of 2 in the thousandths place can be calculated as follows:

2 * 0.001 = 0.002

Therefore, the place value of 2 in the number 3286.4023 is 0.002.

**Calculating the Difference:**
To find the difference between the place value of 4 and 2, we subtract the place value of 2 from the place value of 4:

0.4 - 0.002 = 0.398

Therefore, the difference between the place value of 4 and 2 in the number 3286.4023 is 0.398.

**Conclusion:**
The difference between the place value of 4 and 2 in the number 3286.4023 is 0.398. The place value of 4 is 0.4 and the place value of 2 is 0.002. By subtracting the place value of 2 from the place value of 4, we get the difference of 0.398.

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