place value in decimal fractions

Check these sites.

http://www.enchantedlearning.com/math/decimals/placevalue/

http://www.aaamath.com/grade5.html

What about place value in decimal fractions?

What's your question?

ths

The place value in decimal fractions determines the value of each digit in a number relative to its position in the decimal number system. In other words, it tells us the value of a digit based on the position it occupies within the number.

To understand place value in decimal fractions, let's consider the example of the number 123.456.

In this number, each digit has a specific place value:

- The digit 1 is in the hundreds place, which means it represents 1 hundred.
- The digit 2 is in the tens place, so it represents 2 tens.
- The digit 3 is in the ones place, so it represents 3 ones.
- The digit 4 is in the tenths place, indicating 4 tenths.
- The digit 5 is in the hundredths place, meaning it represents 5 hundredths.
- The digit 6 is in the thousandths place, representing 6 thousandths.

Each place value to the left of the decimal point (.) is a power of 10, with the ones place being 10^0 (equal to 1), the tens place being 10^1 (equal to 10), the hundreds place being 10^2 (equal to 100), and so on.

Similarly, each place value to the right of the decimal point is a negative power of 10. In our example, the tenths place is 10^(-1) (equal to 1/10 or 0.1), the hundredths place is 10^(-2) (equal to 1/100 or 0.01), and the thousandths place is 10^(-3) (equal to 1/1000 or 0.001).

By understanding the place value in decimal fractions, we can determine the value of each digit and effectively read, write, and operate with decimal numbers.