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Place Value 
Each position in a decimal number has a value that is a power of 10. A decimal point separates the nonnegative powers of 10 (10^{0}=1, 10^{1}=10, 10^{2}=100, 10^{3}=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 = 10^{5}
hundred thousands10,000 = 10^{4}
ten thousands1,000 = 10^{3}
thousands100 = 10^{2}
hundreds10 = 10^{1}
tens1 = 10^{0}
onesdecimal point
1/10 = 10^{1}
tenths1/100 = 10^{2}
hundredths1/1,000 = 10^{3}
thousandths1/10,000 = 10^{4}
ten thousandths
6
5
4
3
2
1
.
1
2
3
4
Worksheets to Print:
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Worksheet d  Go to the answers.
Worksheet e  Go to the answers.
Worksheet f  Go to the answers.
Puzzles #1  Go to the answers.
Puzzles #2  Go to the answers. Puzzles #3  Go to the answers.
Puzzles #4  Go to the answers.
Puzzles #5  Go to the answers. Puzzles #6  Go to the answers.
Worksheet #1  Go to the answers.
Worksheet #2  Go to the answers.
Worksheet #3  Go to the answers.
Worksheet #1  Go to the answers.
Worksheet #2  Go to the answers.
Worksheet #3  Go to the answers.
Whole Number Place Value Worksheets
Each worksheet has whole numbers to express in terms of place value.Whole Number Place Value Worksheets
Each worksheet has powers of ten to express in terms of whole numbers.Place Value Puzzles
Write 4digit numbers given clues about place value.
More Place Value Puzzles
Write 4digit numbers given clues about place value.Decimal Place Value Worksheets
Each worksheet has decimal numbers to express in terms of place value.Decimal Place Value Worksheets
Each worksheet has powers of ten to express in terms of a decimal number.
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