What is the Place Value of 2 in the given decimal 924.75?  

What is the Place Value of 2 in the given decimal 924.75?

In the decimal number 924.75, the digit 2 is in the tens place.

Here's how we can find the place value of 2:

1. Identify the place of the digit: The digit 2 is the second digit from the right side of the decimal. In the number system, each place has a value based on its position relative to the decimal point. The ones place is to the right of the decimal, the tens place is to the left of the ones place, and so on. Therefore, 2 is in the tens place.

2. Assign a value to the place: The tens place has a value of 10. This is because in our decimal system, the value of each place increases by a power of 10 moving away from the decimal point. So, the tens place is 10 times greater than the ones place (which has a value of 1).

3. Calculate the place value: The place value of a digit is simply the product of the digit itself and the value of its place. In this case, the place value of 2 (in the tens place) is 2 * 10 = 20.

Therefore, the place value of 2 in 924.75 is 20.

What is Place Value?

Place value is a fundamental concept in mathematics that refers to the value of a digit based on its position within a number. In our base-ten number system, each digit's value depends on its position relative to other digits. The value of a digit is determined by multiplying the digit by the place value of its position.

For example, consider the number 357:

• The digit 7 is in the units place, so its place value is 7.
• The digit 5 is in the tens place, so its place value is 5 * 10 = 50.
• The digit 3 is in the hundreds place, so its place value is 3 * 100 = 300.

Thus, the total value of the number 357 is the sum of the place values of each digit: 300 (for the 3 in the hundreds place) + 50 (for the 5 in the tens place) + 7 (for the 7 in the units place) = 357.