Place Value (Thousandths) Worksheets

What Are Decimal Place Values? The word DECIMAL is based on the number ten, derived from a Latin word DECIMA; the tenth part. The decimal number means there is a Decimal Point. Decimal Place Values - The place value is a positional system in which the position of a number to a point it determines its cost. In decimal or base ten systems, the value of the digits is based on the number 10. Every position in a decimal number has a value that is a power of the number 10. A decimal point separates the non-negative powers of the number 10. The number "forty-five and six tenths" written as a decimal number, Now here 45.6 has: 4 tens, 5 ones and 6 tenths. The decimal point goes between ones and tenths.
Decimal Number----------Place Values
4.1----------4 plus 1 tenth
12.3----------1 ten plus 2 ones plus 3 tenth and 4 hundredths
0.01----------1 hundredth
The decimal system lets us write numbers as large or as small as went like, using the decimal point. The digits can be placed to the left or right of a decimal point to show values more significant than one or less than one. The decimal point is an essential part of any Decimal Number, and without it, we are lost and can't know what each position means. On the of the decimal point is a whole number. As we move to the left, every place gets ten times bigger. The first digit on the right means tenths. As we move further to the right, every position gets ten times smaller.

Zero Power...

The units place is equal to the base to the zero power, or one. The next column is base to the first power, or the number of the base itself. So the second column in any base is always the number of the base's column.