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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 are the steps to follow in scientific notation?
Scientific notation doesn't exactly have a lot of steps, but I will discuss how it is done. Let us say, you want to convert the number 1,300,000,000 to scientific notation. First, count the number of digits. It turns out to be a ten digit number. Then we observe that the first two digits are not zeroes. So in scientific notation this turns out to be 1.3 x 109. This works out, because we are taking a 1 digit number with another number past the decimal point, 1.3, and then adding another 9 zeroes by use of the term 109 which thereby gives us the equivalent of the original ten digit number that we started with.
How do you write 7350 in scientific notation?
6.75 x 10^5 = 67,500 the number ( decimal one) has to always be between 1-10 and if the number is smaller than one to begin with the exponents has to be negative
What is 0.000000673 in scientific notation?
Move 4 decimal places to the right from the starting point to get:
6.7 x 10-4
The exponent is negative for base 10 since the leading digit occurs in ten-thousandths place.
What is 6230000 in scientific notation?
If we wrote 23.6 million in scientific notation we have 2.36 x 107 for the answer. In scientific notation, there is only one non-zero figure to the left of the decimal, and the other significant figures appear to the decimal's right. We then write an appropriate power of ten to finish our conversion. Out 23.6 million is 23.6 x 106, but we need to shift the decimal one place to the left. That means we'll have to add a power of ten to get the correct conversion, hence 2.36 x 107 will be the correct answer.
How do you write 12 hundred thousand in standard form?
12 hundred thousand in standard form is 1.2 × 106
How can you express large number into scientific notation?
Scientific notation is a way of representing numbers, usually very large or very small, in the form
a*10^b where 1<= |a| < 10 is a decimal number and b is an integer (negative or positive).
a is called the mantissa and b is called the exponent.
To convert a number to scientific notation:
- If the number has no decimal point, then add one at the end.
- Then move the decimal point to just after the first digit while counting the number of places you have moved it.
- The new number, formed after moving the decimal point is a.
- If the original number is negative, then so is a.
- The number of places to the left that the decimal point was moved is b. If it was moved to the right, thenb is negative.
For example:
23045.06 becomes 2.304506*10^4
-23045.06 becomes -2.304506*10^4
0.00023004 becomes 2.3004*10^(-4)
To convert a number in scientific notation to normal form:
- If b is positive, move the decimal point b places to the right in the number a - adding 0s at the end of the number, if required.
- If b is negative, move the decimal point b places to the left in the number a - adding 0s immediately after the decimal point, if required.
- The final expression has the same sign (+ or -) as a in the scientific form.
For example:
4.56*10^5 = 456000.
-4.56*10^5 = -456000.
4.56*10^(-5) = 0.0000456
I have avoided using the term "Standard form" because, ironically, it is a non-standard term. In the UK Standard and Scientific forms are the same whereas in the US, the Standard form is what I have chosen to call the normal form.
How do you write 29000000 in scientific notation?
29000 = 2.9*104
Scientific notation is when you have a number between one and ten multiplied by a power of ten to more simply express a large number.
For 29000, one would simply break it up into a power of ten multiplied by a number between one and ten. There are three zeros, meaning one thousand, and one would think that therefore the power of ten would be 103. However, this is not the case. What is left over is 29. 29 is certainly not between 1 and ten. However, 2.9 is. There you simply divided by ten. So you must add another power to your power of ten.
The scientific notation would therefore be :
104 x 2.9.
How many mg is 59.0 in scientific notation?
1 g = 1000 mg 1000 g = 1 kg 59 kg = 59,000 g = 59,000,000 mg
How do you write 0.000014565 in scientific notation?
The number 0.0143 can be written as 1.43 × 10^-2 in scientific notation.
What is the scientific notation for 108000000?
I don't know if your last set of 000s are purposely missing a zero...
For this number:
800,100,000,000 the answer is 8.001 * 10^11 (where * is the multiplication sign and ^11 means "to the eleventh power")
For this number:
80,010,000,000 the answer is 8.001 * 10^10
