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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 Worksheets123 = __hundreds + __tens + __ onesEach worksheet has whole numbers to express in terms of place value. Whole Number Place Value Worksheets1 hundreds + 2 tens + 3 ones = ___Each worksheet has powers of ten to express in terms of whole numbers. Place Value PuzzlesWrite 4-digit numbers given clues about place value. More Place Value PuzzlesWrite 4-digit numbers given clues about place value. Decimal Place Value Worksheets234.1 = __hundreds + __tens + __ ones +_ tenthsEach worksheet has decimal numbers to express in terms of place value. Decimal Place Value Worksheets2 hundreds + 3 tens + 4 ones + 6 tenths = ____Each worksheet has powers of ten to express in terms of a decimal number.

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