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Place Value: Decimals
Decimals are a shorthand way to write fractions and mixed numbers with denominators that are powers of 10 , like 10,100,1000,10000, etc.
If a number has a decimal point , then the first digit to the right of the decimal point indicates the number of tenths.
For example, the decimal 0.3 is the same as the fraction 310 .
The second digit to the right of the decimal point indicates the number of hundredths.
For example, the decimal 3.26 is the same as the mixed number 326100 . (Note that the first digit to the left of the decimal point is the ones digit.)
You can write decimals with many places to the right of the decimal point. For example, this is a representation of the mixed number 51480531000000 , with the place values named:
One good way to visualize decimals is by using base 10 blocks. For instance, suppose a large square respresents one whole. If the square is cut into 10 strips of equal size, then each of these represents one tenth or 0.1 . Each strip can be cut into ten smaller squares to represent hundredths.
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