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Decimals: Place ValueA decimal is a number that is written with a decimal point in it. For example, the numbers 4.1, 12.34, and 0.013 are decimals. The value of the digits is based on the number ten.

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

Fractions 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

Fractions, 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

Fractions, Percents

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.

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