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Tuesday 20th of March
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 Depdendent Variable

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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Exponents and Powers of Ten

To write one million as a numeral takes a 1 and six 0â€™s: 1,000,000. To write one billion, you use a 1 and nine 0â€™s: 1,000,000,000. One trillion is even larger and uses three more 0â€™s: 1,000,000,000,000.

Large numbers have always been interesting to mathematicians. Writing lots of zeros is not so interesting. There is a way to write abbreviations for large numbers, without all those pesky zeros!

- One million (1,000,000) can be written 106.

- One billion (1,000,000,000) can be written 109.

- One trillion (1,000,000,000,000) can be written 1012.

The little number is the same as the number of zeros, and is called an exponent. An exponent tells how many times to multiply the other number, called the base, by itself. So 106 equals 10 Ã— 10 Ã— 10 Ã— 10 Ã— 10 Ã— 10, and that equals 1,000,000. (You can check this on your calculator.)

To read a power of ten, such as 1,000, you can say â€œone thousandâ€ or â€œten to the third power.â€ One million is â€œten to the sixth power.â€

With numbers that arenâ€™t exactly a power of ten, 13 million (13,000,000) for example, mathematicians use shorthand that still uses exponents with ten as the base. Since 13 million is 13 times 1 million, you can write it as 13 Ã— 106. Thatâ€™s a standard abbreviation called scientific notation.

Exponents are especially useful when the powers of ten get even bigger. Hereâ€™s a chart that shows how handy mathematical shorthand can be.