Final answer:
Each digit in a number has a place value depending on its position relative to the decimal point. The value of a digit is the digit multiplied by its place value.
Step-by-step explanation:
When working with numbers, each digit holds a certain place value and value based on its position relative to the decimal point. For instance, in the number 231.45, the place value of the digit '2' is the hundreds place, meaning it represents 200. This is because it is the third digit to the left of the decimal point, and each move to the left increases the place value by a power of ten.
The same digit's value is actually the digit itself multiplied by the place value it represents. So in the case of '2' in 231.45, the value would be 2×100, which gives us 200. Similarly, the '3' which is the second digit to the left represents the tens place, hence it has a value of 3×10, equating to 30. Conversely, digits to the right of the decimal point represent fractions of one. For example, the '4' is in the tenths place, so it stands for 4/10 or 0.4.
To determine the place value and the value of a digit, always start by identifying its position relative to the decimal point. Remember that to the left are whole numbers increasing by tens, and to the right are fractions of one, decreasing by tenths.