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EnchantedLearning.com Math Lessons and Worksheets

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Place Value

Place value is a positional system of notation in which the position of a number with respect to a point determines its value. In the decimal (base ten) system, the value of the digits is based on the number ten.

Each position in a decimal 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 to Print:

Whole Number Place Value Worksheets 123 = __hundreds + __tens + __ ones Each worksheet has whole numbers to express in terms of place value. Worksheet a --- Go to the answers. Worksheet b --- Go to the answers. Worksheet c --- Go to the answers.	Whole Number Place Value Worksheets 1 hundreds + 2 tens + 3 ones = ___ Each worksheet has powers of ten to express in terms of whole numbers. Worksheet d --- Go to the answers. Worksheet e --- Go to the answers. Worksheet f --- Go to the answers.	Place Value Puzzles Write 4-digit numbers given clues about place value. Puzzles #1 --- Go to the answers. Puzzles #2 --- Go to the answers. Puzzles #3 --- Go to the answers.
More Place Value Puzzles Write 4-digit numbers given clues about place value. Puzzles #4 --- Go to the answers. Puzzles #5 --- Go to the answers. Puzzles #6 --- Go to the answers.	Decimal Place Value Worksheets 234.1 = __hundreds + __tens + __ ones +_ tenths Each worksheet has decimal numbers to express in terms of place value. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.	Decimal Place Value Worksheets 2 hundreds + 3 tens + 4 ones + 6 tenths = ____ 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.

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EnchantedLearning.com Math

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