A decimal number is a number with a decimal point.

The numbers to the right of the decimal point are called digits.

For example, #4.15# is a decimal number with #2# digits occupying decimal places.

The digits indicate what part is still added to the integer. For example, #4.15# indicates that we add #\tfrac{15}{100}# to #4#.

Examples

#32.1#

#301.102#

#5.18#

#6.20335#

#18.2#

For the integer #1258#, we say that it consists of:

#1# thousand

#2# hundreds

#5# tens

#8# ones

The value of #1258# is therefore: \[1 \times 1000+2 \times 100+5\times 10 + 8 \times 1\]

Similarly, the decimal number #0.1258# consists of:

#0# ones

#1# tenth

#2# hundredths

#5# thousandths

#8# ten thousandths

The value of #0.1258# is therefore: \[0\times 1+1 \times 0.1 + 2 \times 0.01 + 5 \times 0.001 + 8 \times 0.0001\]

Examples