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To answer your question let's look at one example, the number 345. The 3 tells us there are 3 hundreds. It is in the position that is 3rd from the right. The 4 tells us there are 4 tens and it is the digit 2 from the right, and the 5 tells us there are 5 ones and it is the right most or ones digit. The ways to think of this, in our usual base 10, is that each digit's position is a power of 10. The ones are 10^0 since 10^=1. The next digit is 10's and we view it as 10^1. Then the hundreds since the third position is 10^2. So we have 5x10^0+ 4x10^2+3x10^3, Some might say why bother with all this? There are many answers, but one reason is that thinking of the numbers and digits this way lets us easily change to any other base, such as base 2 or 8. In the case of base 2 the right most digit is 2^0 or 1, the next is 2^1 or 2's, then 2^2 or 4s etc.
What else can I help you with?
What represents a number or value?
the numerical part or digits represent some value
What is the digit and position of 645?
645 is a 3-digit number. A single digit in a number can have a place value. A number with several digits cannot.
What is the value of 8 in 3873?
In the number 3873, the value of 8 is 800. The value of a digit in a number is determined by its place or position in the number. In this case, the 8 is in the hundreds place, so it represents 800.
What is the place value of 5?
In the decimal number system, the place value of 5 depends on its position in the number. If 5 is in the ones place, its value is 5. If 5 is in the tens place, its value is 50. If 5 is in the hundreds place, its value is 500, and so on. Each position to the left represents a value that is 10 times greater than the position to its right.
What is the purpose of zero?
Zero represents a set with no elements.The purpose of zero as a digit: In our decimal numbering system, in any number you use, for example 512, each of the digits has its own value, but it also has a value that depends on its position. For example, 5 is not simply 5, it is 5x100, because of the position where it appears. Often, a zero will be needed as a placeholder, to "push" other digits further to the left. For example, 107 is not the same as 17. The zero is required to put the 1 "into its rightful place".
What represents a number or value?
the numerical part or digits represent some value
What are the values of the digits in 8040930?
In the number 8040930, the values of the digits are as follows: the digit 8 represents 8,000,000; the digit 0 represents 0; the digit 4 represents 400,000; the digit 0 represents 0; the digit 9 represents 90,000; the digit 3 represents 3,000; and the digit 0 represents 0. Each digit's value is determined by its position in the number.
What is the antonym for place value?
The antonym for place value is "face value." While place value refers to the value of a digit based on its position in a number, face value represents the value of the digit itself, regardless of its position. For example, in the number 345, the place value of '4' is 40, while its face value remains 4.
Can you show me values of the decimal system?
The decimal system uses the digits 0-9 to represent numbers. Each digit's value is determined by its position in a number. For example, in the number 573, the digit 5 represents 500, the digit 7 represents 70, and the digit 3 represents 3.
What is it called a way to write numbers by using the digits 0-9 with each digit having a place value?
This method of writing numbers using the digits 0-9, where each digit has a specific place value, is called the decimal system or base-10 system. In this system, the value of a digit depends on its position in the number, with each position representing a power of ten. For example, in the number 345, the 3 represents 300 (3 x 100), the 4 represents 40 (4 x 10), and the 5 represents 5 (5 x 1).
Why does a position of each digits of a number matters?
The position of each digit in a number is crucial because it determines the digit's value based on its place in the numerical system, known as place value. For example, in the number 345, the '3' represents three hundreds, the '4' represents four tens, and the '5' represents five units. This system allows us to express large numbers efficiently and perform arithmetic operations accurately. Without the significance of position, numbers would lose their meaning and functionality.
If a number has a two of the same digits why does each four have a different value?
The value of a digit depends on its position as well as its face value.
Which digits has the greatest value in 589?
It is 5 whose place value represents 500
What is a way to write numbers by using the digits 0-9 with each digit having a place value?
Numbers can be written using the digits 0-9 by assigning each digit a specific place value based on its position in the number. For example, in the number 345, the digit 3 represents 300 (3 in the hundreds place), 4 represents 40 (4 in the tens place), and 5 represents 5 (5 in the ones place). This positional notation allows us to express large values succinctly by combining digits according to their place values.
How many digits are in 2637?
The number 2637 has four digits. Each digit represents a place value: thousands, hundreds, tens, and units. Therefore, the digits are 2, 6, 3, and 7.
What is the value of 0 in 708?
In the number 708, the digit 0 holds a place value of zero in the tens position. This means it does not contribute to the overall value of the number, as it represents "zero tens." Therefore, while the 0 is essential for indicating the number's structure, it does not add any value to the total. The value of 708 is determined solely by the digits 7 and 8, which represent 700 and 8, respectively.
What is the digit and position of 645?
645 is a 3-digit number. A single digit in a number can have a place value. A number with several digits cannot.
