### Topic Page: Decimal system

**decimal number system**

*The Hutchinson Unabridged Encyclopedia with Atlas and Weather Guide*

Most commonly used number system, to the base ten. Decimal numbers do not necessarily contain a decimal point; 563, 5.63, and −563 are all decimal numbers. Other systems are mainly used in computing and include the binary number system, octal number system, and hexadecimal number system.

The decimals 0.3, 0.51, and 0.023 can be expressed as the decimal fractions3/10, 51/100, and 23/1,000. They are all terminating decimals. These fractions can equally be expressed as the percentages 30%, 51%, and 2.3%.

Decimal numbers may be thought of as written under column headings based on the number 10. For example:

Using the table, 567 stands for 5 hundreds, 6 tens, and 7 units; 28.02 stands for 2 tens, 8 units, and 2 hundredths.

567 has no numbers after the decimal point, that is 0 decimal places. 28.02 has 2 numbers after the decimal point, that is 2 decimal places.

Large decimal numbers may also be expressed in floating-point notation.

Addition and subtraction When adding or subtracting decimals it is important to keep the decimal points underneath each other. For example, to work out 13.56 + 4.08 + 9:

Using the addition table, the answer is 26.64.

essays

Working out percentage increases

Expressing a recurring decimal as a fraction

Calculating with fractions, decimals and percentages

Calculating powers and square roots

Calculating with rounding and multiples

Place value, sum and difference

Pie charts

Calculating with decimals

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A Plus Maths

Ask Dr Math

CoolMath

Maths Year 2000

Decimals, Whole Numbers, and Exponents

Discovery School's Webmath

Easymaths

Fractions

Funbrain

Interactive Mathematics: Miscellany and Puzzles

Mathematics Lessons that Are Fun, Fun, Fun!

MATHguide

Maths Is Fun

Maths Online

Plus Magazine

S-Cool! GCSE Maths Revision Guide

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