What is the place value of 1.00398?

The place value of a number is the value assigned to each digit according to its position in the number. It helps us understand the significance of each digit and its contribution to the overall value of the number. So, what is the place value of 1.00398? Let’s find out.

To determine the place value of 1.00398, we need to examine each digit in the number and determine its position.

**The place value of 1.00398 is as follows:**
– Digit 1: This digit is in the “ones” place, representing the value of one unit.
– Digit 0: This digit is in the “tenths” place, representing the value of 0.1.
– Digit 0: This digit is in the “hundredths” place, representing the value of 0.01.
– Digit 3: This digit is in the “thousandths” place, representing the value of 0.003.
– Digit 9: This digit is in the “ten-thousandths” place, representing the value of 0.0009.
– Digit 8: This digit is in the “hundred-thousandths” place, representing the value of 0.00008.

Therefore, the place value of 1.00398 is as follows:
1.00398 = 1 (one unit) + 0.1 (tenth) + 0.01 (hundredth) + 0.003 (thousandth) + 0.0009 (ten-thousandth) + 0.00008 (hundred-thousandth).

FAQs about place value:

1. What is the place value of a digit in a number?

The place value of a digit refers to the value assigned to it based on its position in the number.

2. Why is place value important in mathematics?

Place value helps us understand the relative worth of each digit, allowing us to perform addition, subtraction, multiplication, and division accurately.

3. How do we determine the place value of a digit?

To determine the place value of a digit, we assign it a value based on its position relative to the decimal point. The rightmost position is the “ones” place, followed by “tens,” “hundreds,” etc., as we move left.

4. What is the significance of the decimal point in place value?

The decimal point helps us differentiate between whole numbers and fractional parts of numbers. It determines the position where the values to the right of it have decreasing powers of 10.

5. Can place value be negative?

No, place value cannot be negative. Place value represents the positive value associated with each digit’s position.

6. How does place value expand for larger numbers?

With larger numbers, additional places are added to the left of the decimal point, including “tens of thousands,” “hundreds of thousands,” “millions,” “billions,” and so on.

7. What is the place value of a zero?

Zeros hold a place in the number system, indicating the absence of a value in that position. They help establish the magnitude of other digits by maintaining their places.

8. How does place value differ in different number systems?

Different number systems, such as binary, hexadecimal, and octal, have different place values. For example, in binary, the rightmost digit represents the ones, the next one represents twos, then fours, eights, and so on.

9. How does place value help in decimal rounding?

Place value determines the significance of each digit, enabling us to round numbers to a specific decimal place, such as rounding to the nearest whole number, tenth, hundredth, etc.

10. Can a number have more than one digit in the same place?

No, each position in a number represents a unique place value, and only one digit can occupy that position.

11. How is place value related to scientific notation?

In scientific notation, a number is expressed as a product of a decimal number between 1 and 10 and a power of 10. The decimal number represents the digit and its place value, while the power of 10 represents its position relative to the decimal point.

12. How can understanding place value enhance mathematical skills?

Understanding place value is essential for developing strong mathematical skills. It provides a foundation for various mathematical operations, including arithmetic, algebra, and even higher-level mathematics.

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