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Scientific Notation
Scientific notation is the expression of a number based on the largest exponent of 10 for its value, where the form is a decimal number A x 10n.
6,389 Questions
What is 2440 in scientific notation?
2.44 x 10^3 or 2.440 x 10^3
In scientific notation, there is only one number to the left of the decimal point which is not zero. The resulting decimal is multiplied by ten to a certain power; for every place the decimal point was moved left, the power is increased by one (204 = 2.04 x 10^2, since the decimal point not shown to the immediate right of 4 moved left twice to make 204 2,04). Likewise, for every place the decimal point must move to the right, the power increases by one, but it also becomes negative as well. (.02 = 2. x 10^-2) Another way of looking at this is that you are moving a negative amount of spaces to the left. To put 2,440 in scientific notation, move the decimal place to the left 3 times; the resulting number is 2.440 x 10^3. Since there is a zero on the end and there is no decimal place (it isn't written 2440.), 2,440 is ambiguous; we don't know if the end zero is a significant figure or not, so technically it could be either 2.440 x 10^3 or 2.44 x 10^3; we can't know for sure if the person who measured 2440 measured it our to the last four or to the 0.
The mantissa is multiplied by 10 raised to the power as shown by the exponent. So, if the exponent is 4, then you multiply the mantissa by 10^4 = 10,000. If the exponent is -4 then you multiply the mantissa by 10^(-4) = 0.0001 or, equivalently, divide by 10^4.
How do you write 2.38 million in standard form?
2,380,000 is 2.38*10^6 in standard form or scientific notation
How do write 635000 in scientific notation?
To write a number in scientific notation you first need to divide the number by a power of 10 such that the answer has units as the greatest place value. In this case, you can divide by 100,000 to get 6.35. The next step is to represent this power of 10 next to the number as a multiplication. We use 100,000 which is 105. Thus, 635,000 in scientific notation is 6.35x105
The moon is 406 000 km from the earth Represent this number in scientific notation?
The number 406,000 is equivalent to the scientific notation of 4.06 x 10 to the third power.
What does the exponent mean in scientific notation?
The exponent is an unknown variable. It is a variable because it will change into a known number when we get further into the equation.
Take this for example.
4x=8 - where x is the exponent.
To work out the problem we simply move the 4 over the equal's sign. Since it is 4x, this means that it is 4 times x. Since we are moving the 4 over the equals sign, we have to change the multiplication, into a division.
x=8/4 which equals 2. The x is a 2.
To check, we we substitute the 2 with the x in the equation. 4x2=8, which is correct.
What is the scientific notation of 5000?
Note that we interpret 5000 as 5000.0. Move 3 decimal places to the left from the starting point, so the exponent for base 10 is 3. Therefore, 5000 in Scientific Notation is 5 x 103
