You are watching: Convert this number to scientific notation 186 000

## Calculator Use

Convert a number to and from scientific notation, e notation, engineering notation, standard form, and real numbers. Enter a number or a decimal number or scientific notation and the calculator converts to scientific notation, e notation, engineering notation, and standard form formats.

To enter a number in scientific notation use a carat ^ to indicate the powers of 10. You can also enter numbers in e notation. Examples: 3.45 x 10^5 or 3.45e5.

## How to Convert a Number to Scientific Notation

The proper format for scientific notation is *ax10^b* where *a* is a number or decimal number such that the absolute value of *a* is greater than or equal to one and less than ten or, 1≤|*a*| Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is *a*. Count how many places you moved the decimal point. This number is *b*. If you moved the decimal to the left *b* is positive. If you moved the decimal to the right *b* is negative. If you did not need to move the decimal *b = 0*. Write your scientific notation number as *a x 10^b* and read it as "*a times 10 to the power of b*." Remove trailing 0"s only if they were originally to the left of the decimal point.

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### Example: Convert 357,096 to Scientific Notation

Move the decimal 5 places to the left to get 3.57096 a = 3.57096 We moved the decimal to the left so*b*is positive b = 5 The number 357,096 converted to scientific notation is 3.57096 x 10^5

### Example: Convert 0.005600 to Scientific Notation

Move the decimal 3 places to the right and remove leading zeros to get 5.600 a = 5.600 We moved the decimal to the right so*b*is negative b = -3 The number 0.005600 converted to scientific notation is 5.600 x 10^-3

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