What is the place value of 3 in 235;468?

The concept of place value is fundamental to understanding numbers and how they are organized within our number system. It helps us comprehend the significance of each digit and its contribution to the overall value of a number. In the number 235,468, the digit 3 plays a specific role in determining its value based on its place within the number.

Understanding Place Value

Place value refers to the positional value of a digit within a number. Each digit holds a unique place, starting from the rightmost position known as the units or ones place, followed by the tens place, hundreds place, thousands place, and so on. The value of each digit is determined by multiplying it with the corresponding power of 10 based on its position.

The Place Value of 3 in 235,468

In the number 235,468, the digit 3 holds the ten-thousands place. To determine the value of 3 in this number, we need to multiply it by the corresponding power of 10. Since the ten-thousands place is four places to the left of the decimal point, we multiply 3 by 10,000.

The calculation looks like this:
3 × 10,000 = 30,000

Therefore, the place value of 3 in 235,468 is 30,000.

Frequently Asked Questions

1. What is place value?

Place value refers to the value a digit holds based on its position in a number.

2. How does the number system work?

The number system is based on the concept of place value, where each digit’s value is determined by its position in the number.

3. What is the units or ones place?

The units or ones place is the rightmost position in a number and represents the smallest value.

4. Which is the leftmost position in a number?

The leftmost position is the highest place value in a number, which represents the largest value.

5. How is place value calculated?

Place value is calculated by multiplying the digit by the corresponding power of 10 based on its position.

6. What is the value of zero in any position?

Zero has no value in itself and only acts as a placeholder.

7. What is the significance of place value in mathematics?

Understanding place value is crucial for performing arithmetic operations, comparing and ordering numbers, and solving mathematical problems.

8. How many place values are there in the decimal number system?

There are ten place values in the decimal number system, from the units place to the hundred billions place.

9. Can place value be extended beyond whole numbers?

Yes, place value extends to decimal numbers as well, with additional positions to the right of the decimal point.

10. What is the place value of a digit to the right of the decimal point?

The place value of a digit to the right of the decimal point is a fraction of 1, with the first position being tenths, the second being hundredths, and so on.

11. How is place value used in everyday life?

Place value is used in various daily activities such as counting money, telling time, measuring distances, and understanding numerical data.

12. Can place value vary in different number systems?

Yes, place value can vary in different number systems with bases other than 10, such as binary or hexadecimal systems.

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