How far to the left or right of the decimal point it is. If there is no decimal point, it is "hiding" at the right hand end of the number after the last digit.
In the number 1253549, the digit 2 is in the hundred-thousands place. This means its value is 200,000. Each digit's position in a number determines its value based on its place value.
In the number 49678, the digit 9 is in the ten-thousands place, which means its value is 90,000. Each digit's position determines its value, with the leftmost digit having the highest place value. Thus, the value of the digit 9 in this context is 90,000.
In the numeral 37.48, the digit 4 is in the hundredths place. This means its value is 4/100, or 0.04. Therefore, the value of the digit 4 in this context is 0.04.
In the number 4,567, the place value of the 4 is in the hundreds place. In the place value system, each digit's position determines its value based on powers of 10. The hundreds place represents the digit's value multiplied by 100.
In the numeral 1.664, the digit 4 is in the thousandths place. This means its value is (4 \times \frac{1}{1000}), which equals 0.004. Therefore, the value of the digit 4 in 1.664 is 0.004.
The face value of a digit is the value of the digit itself, regardless of its position in the number. In the numeral 574873, the face value of the digit 7 is 7. The difference between the face value of 7 and its place value in this number is 0, as the place value of 7 in this number is also 7 (tens of thousands place).
In the number 1253549, the digit 2 is in the hundred-thousands place. This means its value is 200,000. Each digit's position in a number determines its value based on its place value.
In the number 49678, the digit 9 is in the ten-thousands place, which means its value is 90,000. Each digit's position determines its value, with the leftmost digit having the highest place value. Thus, the value of the digit 9 in this context is 90,000.
In the numeral 37.48, the digit 4 is in the hundredths place. This means its value is 4/100, or 0.04. Therefore, the value of the digit 4 in this context is 0.04.
In the number 4,567, the place value of the 4 is in the hundreds place. In the place value system, each digit's position determines its value based on powers of 10. The hundreds place represents the digit's value multiplied by 100.
In the number 2.45, the digit 2 is in the tenths place. This means that the value of the digit 2 is 2 tenths or 0.2. Place value refers to the position of a digit in a number, which determines its value based on the powers of 10.
It is a system based on the place value.
In the numeral 1.664, the digit 4 is in the thousandths place. This means its value is (4 \times \frac{1}{1000}), which equals 0.004. Therefore, the value of the digit 4 in 1.664 is 0.004.
In the number 632, the digit 3 is in the tens place. This means that the value of the digit 3 is 30, as it represents 3 tens. The place value of a digit in a number determines its value based on its position in relation to the decimal point.
The 5 digit in 769,853 has a value of 50
The concept of place value, where the position of a digit determines its value, was developed by ancient civilizations, particularly the Indians around the 6th century AD. The Indian mathematician Aryabhata is often credited with formalizing this system, which later spread to the Islamic world and then to Europe. This numeral system, including the use of zero as a placeholder, revolutionized mathematics and is the basis of the decimal system we use today.
It determines how much that digit is worth. See this article on place value. http://www.aaamath.com/plc.htm