Find the difference between the place value of 4 in 3286.4023 and face value of 2 in 4568234.

Options

A. `1.6`
B. `2.4`
C. `200.4`
D. `196`

Answer

To solve the problem, we need to find the difference between the place value of 4 in the number 3286.4023 and the face value of 2 in the number 4568234.

### Step 1: Identify the place value of 4 in 3286.4023
The number 3286.4023 can be broken down as follows:
- The digit 4 is in the tenths place (the first digit to the right of the decimal point).
- The place value of a digit is determined by its position in the number.

For the digit 4 in 3286.4023:
- The place value of 4 is 4 × 0.1 = 0.4.

### Step 2: Identify the face value of 2 in 4568234
The face value of a digit is simply the digit itself, regardless of its position in the number.

For the digit 2 in 4568234:
- The face value of 2 is 2.

### Step 3: Calculate the difference
Now we need to find the difference between the place value of 4 (0.4) and the face value of 2 (2).

Difference = Place value of 4 - Face value of 2
Difference = 0.4 - 2 = -1.6

### Final Answer
The difference between the place value of 4 in 3286.4023 and the face value of 2 in 4568234 is -1.6.

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