Questions: The place value of a digit depends on its

Solution Steps

To determine the place value of a digit, we need to identify its position in the number. The place value is calculated as the digit multiplied by 10 raised to the power of its position index (counting from right to left, starting at 0).

Given the number 5432, we need to find the place value of the digit at index 2. In this context, the index is counted from left to right starting at 0. Therefore, the digit at index 2 is 3.

The place value of a digit is determined by multiplying the digit by \(10\) raised to the power of its position index from the right. For the digit 3 in the number 5432, its position from the right is 1 (since 5432 has four digits, and index 2 from the left corresponds to position 1 from the right).

The place value is calculated as: \[ 3 \times 10^1 = 30 \]

Final Answer