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

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Calculator Use

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

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

Order of magnitude will also be identified for the calculated standard form. The order of magnitude when written in standard form, is the nth power of 10. For example, 3.4 x 10^5 has an order of magnitude of 5 since 10 is raised to lớn the 5th power.

How lớn Convert a Number khổng lồ 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 lớn one và less than ten or, 1≤|a| Move the decimal point in your number until there is only one non-zero digit khổng lồ 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 khổng lồ the left b is positive. If you moved the decimal to lớn the right b is negative. If you did not need to lớn move the decimal b = 0. Write your scientific notation number as a x 10^b & read it as "a times 10 to the power of b." Remove trailing 0"s only if they were originally lớn the left of the decimal point.

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Example: Convert 357,096 to lớn Scientific Notation

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

Example: Convert 0.005600 to Scientific Notation

Move the decimal 3 places to the right và remove leading zeros lớn get 5.600 a = 5.600 We moved the decimal lớn 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^".