What does the representational form of a number mean? For example the representational form of the number 3758.

What does the representational form of a number mean? For example the representational form of the number 3758.

3758

The representational form of a number refers to how the digits in the number are arranged and interpreted. In the case of the number 3758, the representational form is based on the decimal system, or base 10. Each digit in the number is multiplied by the appropriate power of 10 and then summed to obtain the overall value of the number.

To understand the representational form of the number 3758, you can break down each digit's value based on its position in the number. Starting from the rightmost digit, the first digit (8) represents 8 units (10^0). The second digit (5) represents 5 tens (10^1). The third digit (7) represents 7 hundreds (10^2). Finally, the fourth digit (3) represents 3 thousands (10^3).

To calculate the overall value, you multiply each digit by its corresponding power of 10 and then add them together: 3 * 10^3 + 7 * 10^2 + 5 * 10^1 + 8 * 10^0 = 3000 + 700 + 50 + 8 = 3758. This is how the representational form of the number 3758 is derived by interpreting its digits in the decimal system.