A decimal is a number expressed in the scale of tens. Commonly speaking we talk about decimals when numbers include a decimal point to represent a whole number plus a fraction of a whole number (tenths, hundredths, etc.). It is probably the most commonly used number system. The decimal number system consists of ten single- digit numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The number after 9 is 10. The number after 19 is 20 and so forth. Additional powers of 10 require the addition of another positional digit.
A decimal point is a point or dot used to separate the whole part of a number from the fractional part of a number.
There are three different types of decimal number
- exact,
- recurring
- other decimals.
An exact or terminating decimal is one which does not go on forever, so you can write down all its digits. For example: 0.15
A recurring decimal is a decimal number which does go on forever, but where some of the digits are repeated over and over again. For example: 7.3333333333
Sometimes recurring decimals are written with a bar over the digits which are repeated, or with dots over the first and last digits that are repeated.
Other decimals are those which go on forever and don't have digits which repeat. For example pi = 3.141592653589793238462643...
Converting exact decimals to fraction is very simple. But writing non - terminating recurring decimals in the form p over q (fraction form) takes so much time. Here's a MATHEMATIP on how you can make the work done in a correct and convenient way. Remember, ESCAPE THE COMPLEX.
CONVERTING NON - TERMINATING RECURRING DECIMAL TO FRACTION
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