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How do u write 0.000004 in scientific notation show work explain plz need to know?
6 Answers
- 1 decade agoFavorite Answer
Move the decimal all the way past the 4. Count how many places you moved it. Since you slid it right, then you have a negative exponent. Sci Notation is something x 10^something, and this will be 4 x 10^-6, okay?
Now, if you had more than one significant digit (see the rules for those if you haven't, it's important in Sci Notation), you'd move your decimal to the right of the first significant digit, and keep all the other significant digits, even in Sci Notation. So if it's something like 12350 then you'd move it 4 places to before the 2, and say it as 1.235 x 10^4 unless the 0 is significant because it is followed by a decimal point.
- jesteele1948Lv 51 decade ago
A number is i scientific notation if it is in the form
n times 10^x, where "n" is a number between 1 and 9 with a fractional part, if needed, and x is chosen so that you have an idea of the "order of magnitude". You can think of "order of magnitude" as "scale". The symbol "^" is the way programmers show, using just typewriter keys, that the "x" is the exponent of 10. Exponents are written on blackboards or in handwriting as little numbers written higher than, and to the right of, the radix or base (10)
The fractional part would be expressed as a decimal fraction.
"x", the exponent of 10, could be any value, and the way it's written tells you a lot about the scale of the number: negative values for x indicate that the numeric value is less than 1 and positive values for x tell your that the numeric value is more than 1. The larger x is, ignoring its sign, the "farther" the value is from 1. "Microscopic" numbers have a value that's negative for x, and x is large. "Astronomical" numbers have a value that's positive for x and x is large. You could say that if the value of x (ignoring its sign) is small, then the number is "human scale": neither tremendous nor miniscule.
When converting FROM scientific notation, you take the first nonzero digits from the number, position the first digit to the left of a decimal point and all the digits following to the right of that decimal point to give you "n", and then figure out what value "x" will have.
Suppose you want to know the way of writing a number like:
2008 in scientific notation. The first nonzero digit is 2, so the "n" portion of the result will be 2.008. Then you just figure out what value of "x" makes the two forms equal. How much shifting of the decimal makes the essential (stripped down number), 2.008 equal to 2008? You need to shift the decimal 3 spaces to the right, so x is 3. If you had to shift the decimal left, x would be negative. (Note that when x is positive, it's also a statement of how many zeros are in the expression 10^x. That is, 10^3 is = 1000.
In your example, "n" is 4, and to make 4 equal to 0.000004, the decimal point in the stripped down number, 4, must be shifted 6 positions to the left, so the S.N. for this number has x = -6.
The result is, 4 x 10^-6.
Source(s): Just reviewing the classroom lesson. (Try to pay attention when the teacher speaks: they don't like repeating themselves if your attention wanders.) - 1 decade ago
0.000004 = 4 X 10 ^ -6 (the house top symbol means to the power of).
This means you shift the decimal place over 6 places, the negative value means it goes to the right.
You could also call the number four-millionths.
So the number 4,000 = 4 X 10 ^ 3 (the positive value means the number goes to the left).
- 1 decade ago
count number of zeros... 6
since ur number is to the right of the decimal it would be a negative power
therefore... 0.000004 = 4.0 10^-6
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- Anonymous1 decade ago
Move the decimal to the right until you reach 4.0.
4.0 x 10^-6