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4. Convert Standard Form 0.00045 into Scientific Notation. 5. Convert Scientific Notation 1.27 x 10^-3 into Standard Form.

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4. In order to conver the number 0.00045 from standard form to scientific notation, consider that te scientific notation is of the form:

m x 10ⁿ

where m is a number between 1 and 10 and n is an integer number.

Moreover, take into account that n is negative if the number on standard form has zeros left side the first non-zero number. The value of n, depends of the number of places you have to move the decimal point to obtain a value m greater than 1 and lower than 10. You can notice you have to move the decimal point 4 places, then n = -4, and m = 4.5.

Hence:

0.00045 = 4.5 x 10⁻⁴

5. Consider, the exponent -3 as four zeros left side of 1.27, just as follow:

1.27 x 10⁻³ = 0.00127

User Jacob Zimmerman
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