Very good question. We break numbers up into assigned positions. Let's look at an example below.
Take the number 9,762. Each Digit represents a place in the number line.
You'd pronounce this number as Nine Thousand Seven Hundred Sixty Two.
So the 9's place is the Thousands (NOT THOUSANDTHS).
The 7's place is the Hundreds (NOT HUNDREDTHS).
The 6's place is the Tens (NOT TENTHS)
And the 2's place is the Ones.
As for decimals. Let's take the number 0.1234
The 0 is the one's place. There are no ones.
Now to the right of the decimal we begin the THS's.
1 is the TENTHS (NOT TENS) Place
2 is the HUNDREDTHS (NOT HUNDREDS)
3 is the THOUSANDTHS (NOT THOUSAND)
4 is the TEN THOUSANDTHS (NOT TEN THOUSAND)
And so on.
The PLACE VALUE.
no the value of the number is not based on the position it is based on what the place value is
-1510
Place value refers to the position of a digit in a number, which determines its worth based on the base of the numeral system (e.g., in the number 452, the digit 4 is in the hundreds place, giving it a place value of 400). The value of a digit, on the other hand, is the actual worth of that digit itself, regardless of its position; for example, in the same number, the digit 5 has a value of 5, while the digit 2 has a value of 2. Thus, place value is context-dependent, while the value of a digit is fixed.
The value given to a digit by its place in a number is known as its "place value." This value is determined by the position of the digit within the number, with each position representing a power of ten. For example, in the number 345, the digit 4 has a place value of 40 because it is in the tens place. Thus, place value helps to quantify the contribution of each digit to the overall value of the number.
The PLACE VALUE.
It is its face value, which is the place value times the value of the digit.
no the value of the number is not based on the position it is based on what the place value is
Because each position has an intrinsic value. In the number "111", the right-most "1" has a value of 1, the second digit from the right has a value of 10, the third digit from the right has a value of 100. The "place" of a digit defines its value.Because each position has an intrinsic value. In the number "111", the right-most "1" has a value of 1, the second digit from the right has a value of 10, the third digit from the right has a value of 100. The "place" of a digit defines its value.Because each position has an intrinsic value. In the number "111", the right-most "1" has a value of 1, the second digit from the right has a value of 10, the third digit from the right has a value of 100. The "place" of a digit defines its value.Because each position has an intrinsic value. In the number "111", the right-most "1" has a value of 1, the second digit from the right has a value of 10, the third digit from the right has a value of 100. The "place" of a digit defines its value.
-1510
Place value refers to the position of a digit in a number, which determines its worth based on the base of the numeral system (e.g., in the number 452, the digit 4 is in the hundreds place, giving it a place value of 400). The value of a digit, on the other hand, is the actual worth of that digit itself, regardless of its position; for example, in the same number, the digit 5 has a value of 5, while the digit 2 has a value of 2. Thus, place value is context-dependent, while the value of a digit is fixed.
The value given to a digit by its place in a number is known as its "place value." This value is determined by the position of the digit within the number, with each position representing a power of ten. For example, in the number 345, the digit 4 has a place value of 40 because it is in the tens place. Thus, place value helps to quantify the contribution of each digit to the overall value of the number.
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.
The value of the position of a digit in a number.
The face value of a digit in a number is the digit itself, regardless of its position. In the number 52787890, the face value of the digit 2 is simply 2.
The worth of a digit in a number is called its "place value." This value is determined by the digit's position within the number, which indicates how much it represents in terms of units, tens, hundreds, and so on. For instance, in the number 345, the digit 4 has a place value of 40, as it is in the tens position.
It is the numerical value of a digit, taking no account of its position (place value).