The decimal numeration system is based on base 10. Each position in a number has a value that is a power of 10. A decimal point separates the non-negative powers of 10 (10⁰=1, 10¹=10, 10²=100, 10³=1,000, etc.) on the left from the negative exponents (10^-1=1/10, 10^-2=1/100, 10^-3=1/1000, etc.) on the right.

Decimal Number	Written as a Fraction	Written in Terms of Place Value
4.1	4 1/10	4 plus 1 tenth
12.34	12 34/100	1 ten plus 2 ones plus 3 tenths and 4 hundredths
0.01	1/100	1 hundredth

The following chart shows the value of each place in a decimal number (written as a simple number, as an exponent, and in English):

100,000 = 105 hundred thousands	10,000 = 104 ten thousands	1,000 = 103 thousands	100 = 102 hundreds	10 = 101 tens	1 = 100 ones	decimal point	1/10 = 10-1 tenths	1/100 = 10-2 hundredths	1/1,000 = 10-3 thousandths	1/10,000 = 104 ten thousandths
6	5	4	3	2	1	.	1	2	3	4

Worksheets on Decimals:

Place Value 234 = __hundreds + __tens + __ ones Each worksheet has decimal numbers to express in terms of place value. A page on Place Value Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.	Place Value 2 hundreds + 3 tens + 4 ones = ____ Each worksheet has powers of ten to express in terms of a decimal number. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.	Adding Decimals Each worksheet has decimal numbers to add. How to Add Decimals Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.
Subtracting Decimals Each worksheet has decimal numbers to subtract. How to Subtract Decimals Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.	Multiplying Decimals Each worksheet has decimal numbers to multiply. How to Multiply Decimals Worksheet #1 (decimal times an integer) --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.	Dividing Decimals Each worksheet has decimal numbers to divide. How to Divide Decimals Worksheet #1 (decimal divided by an integer) --- Go to the answers. Worksheet #2 (decimal divided by a decimal) --- Go to the answers. Worksheet #3 (decimal divided by a decimal) --- Go to the answers.
Express Fractions as Decimals and as Percents Each worksheet has fractions to express as decimals and percentages. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers. Worksheet #4 --- Go to the answers.	Express Decimals as Fractions and as Percents Each worksheet has decimals to express as fractions and percentages. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers. Worksheet #4 --- Go to the answers.	Express Percents as Fractions and Decimals Each worksheet has percentages to convert to decimals and fractions. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers. Worksheet #4 --- Go to the answers.