The place value system is a method of writing numbers with a base 10 numerical system. By placing a numerical symbol in a different place in the number, it represents a differnt value. For example, by writing the digit ‘4’ in the 10s place, we know that it now signifies the value of 40. By placing it in the 100s place, we achieve a value of 400, and so on. A number is an abstract entity used originally to describe quantity. ... Decimal, or denary, notation is the most common way of writing the base 10 numeral system, which uses various symbols for ten distinct quantities (0, 1, 2, 3, 4, 5, 6, 7, 8 and 9, called digits) together with the decimal point and the sign symbols + (plus) and − (minus) to...
Just as "ones," "tens," and "hundreds" are used to describe placevalue for whole numbers, there are terms that describe placevalue for decimals: tenths, hundredths, thousandths, ten thousandths, hundred thousandths, millionths, etc. These terms are used from left to right, starting with the first numeral after the decimal point.
The number 78.304 has a "7" in the tens place, an "8" in the ones place, a "3" in the tenths place, a "0" in the hundredths place, and a "4" in the thousandths place.
Because our system is base ten, a value of 10 in one place is equal to a value of 1 in the place to the left: 10 thousandths is equivalent to 1 hundredth, 10 hundredths is equivalent to 1 tenth, 10 tenths is equivalent to 1 one, and so on.
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