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0.70010 in scientific notation is 7.001 x 10^-1

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Shift 2 decimal places to the left, so the exponent for base 10 is 2. Therefore, we have 7.0 x 10². The exponent for base 10 is positive since the leading nonzero digit occurs before the decimal place.

Firstly, if there are no decimals, one can assume that it is at the end; this becomes important because the goal of expressing a number in scientific notation is to depict a shorthand of a number in terms of a number between 1-9 x 10^n (raised to the number it takes to make the first number one in the range of 1-).

The first nonzero number is 7,000,000,000 is 7 which is a number between 1-9. There is no decimal in this number, so it is understood to be at the end. From here, one needs to move this understood decimal to the first number , which in this case, is 9 spaces to the left, making the answer:

7 x 10^9

If it where that a nonzero number following the first number, it can be incorporated to depict the exponent and the number being multiplied by the base of ten. For instance:

7,300,000 --> 7.3 x 10^9

The amount of numbers are the same, the exponent remains the same also, but the first number is followed by a 3 which is also a number between 1-9; note that a decimal separates the two.

Another thing to remember is that since you are going from a larger number to a smaller number, the exponent is positive; if one was given a fraction of a number such as .000000005, then the motion is in the other direction to get to the non-zero number and there is a total of 9 numbers which follow a decimal:

5 x 10^-9

Being that the first nonzero number is on the right this time, the motion to get to it is in the opposite direction, making the exponent negative, yet the value of the exponent is a 9 as there are 9 spaces or jumps taken from the number to reach the first nonzero number which in this case is a 5.

8007020 in scientific notation is 8.00702*10^6

74171.7 = 7.41717x104

7.41717 x 10^4

7,010 = 7.010 x 103

It is: 2.1*10^3 in scientific notation

It is 7.01*10^3.

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Q: How do you write 0.70010 in scientific notation?

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