= 3.456 × 1011scientific notation= 3.456e11scientific e notation= 345.6 × 109engineering notationbillion; prefix giga- (G)= 3.456 × 1011standard form11Order of Magnitudefor scientific and also standard forms= 345600000000(real number)= three hundred forty-five billion 6 hundred millionword form

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## Calculator Use

Convert a number to and also from scientific notation, e notation, design notation, traditional form, and real numbers. Get in a number or a decimal number or clinical notation and also the calculator switch to clinical notation, e notation, design notation, standard type and word form formats.

To go into a number in clinical notation use a carat ^ to suggest the strength of 10. Friend can likewise enter number in e notation. Examples: 3.45 x 10^5 or 3.45e5.

Order of size will likewise be identified for the calculated standard form. The stimulate of magnitude as soon as written in typical form, is the nth power of 10. For example, 3.4 x 10^5 has an stimulate of size of 5 because 10 is raised to the 5th power.

## How to transform a Number to clinical Notation

The ideal format for scientific notation is ax10^b where a is a number or decimal number such that the absolute worth of a is higher than or equal to one and also less than ten or, 1≤|a| relocate the decimal suggest in your number until there is only one non-zero digit to the left that the decimal point. The result decimal number is a. counting how plenty of places you moved the decimal point. This number is b. If you moved the decimal come the left b is positive. If you moved the decimal come the appropriate b is negative. If you did not need to relocate the decimal b = 0. write your clinical notation number together a x 10^b and also read it as "a times 10 come the power of b." remove trailing 0"s just if lock were originally to the left that the decimal point.

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### Example: convert 357,096 to scientific Notation

move the decimal 5 areas to the left to obtain 3.57096 a = 3.57096 We relocated the decimal to the left for this reason b is positive b = 5 The number 357,096 converted to scientific notation is 3.57096 x 10^5

### Example: transform 0.005600 to clinical Notation

move the decimal 3 places to the right and remove leading zeros to get 5.600 a = 5.600 We relocated the decimal to the best so b is negative b = -3 The number 0.005600 converted to clinical notation is 5.600 x 10^-3

E notation is usually the very same as scientific notation except that the letter e is substituted for "x 10^".