It is its positional place value within a number
It is impossible to work out 1233 + 3215. 1233 is not a valid base 3 number. Each digit in base 3 can only have a value 0, 1 or 2; it cannot have the value of 3 (the last digit of 123).
In the decimal number system, the largest digit that can be used in each place value is 9. Place values increase by a power of 10 as you move from right to left, so the ones place can hold digits 0-9, the tens place can hold digits 0-9, and so on. The largest digit in each place value represents the highest value that can be assigned to that position in a number.
The digit 4 in the number 546 is in the tens place. In the base-10 number system, each place value is a power of 10, with the rightmost position being the ones place, the next position to the left being the tens place, and so on. Therefore, the place value of the digit 4 in 546 is 40, or four tens.
It is 15.
222
The digit to the left has a place value that is "base" times that on the right. Normally, the base is 10.
The greatest value a digit can have in base for is 3. Thus the largest three-digit number in base for would be 333. In base 10, this number is 3x16 + 3x4 + 3 = 63 Therefore 63 is the largest digit that would be three digits in base 4.
3210 in base 3 is 10123 However, if you mean 323 then this is NOT a number. The maximum value each digit of a number can be is one less than the base. In base 3, the maximum value for any digit is 3 - 1 = 2. No digit can be anything other than 0, 1 or 2. Thus 32 (containing the digit 3) cannot be a base 3 number.
Because the place value for each digit is ten times the place value of the digit to its right.
9675 is a 4-digit number. It can be written as a 6 digit number in base 5 or 6 or similar. But without knowing which, it makes little sense to do so.
It is impossible to work out 1233 + 3215. 1233 is not a valid base 3 number. Each digit in base 3 can only have a value 0, 1 or 2; it cannot have the value of 3 (the last digit of 123).
Not in a way that would be generally understood. However, it is possible. An 8-digit number in base 10 can be represented by a 5-digit number in base 32. For example, extending the scheme for labeling digits for base 32, VVVVV32 = 3355443110 Similarly, the 8-digit number 33333333 in base 4 is the 5-digit number 65535 in base 10
A decimal number has a base of 10, meaning that from the least significant to the most significant digit in a number the value of the digit increases by a factor of 10. Thus the least significant digit has a value of the digit multiplied by 10 raised to power 0, the next digit to the left (the tens digit) has a value of the digit multiplied by 10 raised to power 1, and so on. If you are considering decimal numbers, then the first digit to the right of the decimal point has a place value of 10 raised to power -1, the next digit to the right has a place value of 10 raised to power -2 and so on. In decimal system (unlike the Roman Numerals) the length of the number also signifies the magnitude of the number and there is a place value for each digit (again unlike the Roman Numerals).
The largest 4 digit number in base 8 is 77778 (= 409510).
It depends upon the base of the number, but it is always one less than the base. For decimal numbers (base 10), our usual numbers, the largest digit that can be used in 10 - 1 = 9.
A decimal number is simply a way of representing a number in such a way that the place value of each digit is ten times that of the digit to its right. Assuming that the number 400 is in base 10 then it is a decimal equivalent. If it is in any base other than 10 then it is not a decimal.
A decimal number has a base of 10, meaning that from the least significant to the most significant digit in a number the value of the digit increases by a factor of 10. Thus the least significant digit has a value of the digit multiplied by 10 raised to power 0, the next digit to the left (the tens digit) has a value of the digit multiplied by 10 raised to power 1, and so on. If you are considering decimal numbers, then the first digit to the right of the decimal point has a place value of 10 raised to power -1, the next digit to the right has a place value of 10 raised to power -2 and so on. In decimal system (unlike the Roman Numerals) the length of the number also signifies the magnitude of the number and there is a place value for each digit (again unlike the Roman Numerals).