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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 rules in subtraction of scientific notation?

Suppose you have two numbers in scientific notation.

· Rename them so that the exponents (powers of 10) are the same,

· add the two mantissae to form the new mantissa, and append the 10 and exponent,

· if the resulting mantissa is less tahn 1 then rename the mantissa and adjust the exponent accordingly.

For the first stage you may rename both numbers or either one.

For example,

3.5*10^4 - 4.5*10^3 = 35*10^3 - 4.5*10^3 = (35-4.5)*10^3 = 30.5*10^3 = 3.05*10^4

How many factors has a scientific notation?

This all depends on the value given. We can't determine the exact number of factors because the value in scientific notation may or may not have factors. For instance, 1.0 x 101 has a factors while 2.0 x 100 doesn't. You need to be careful of what you are asking here since there are many numbers that are interpreted in scientific notation!

What is 0.000000800 in scientific notation?

8.0 x 10-7

To write this in standard form we need to have one digit (not a 0) in front of the decimal point. We can do this here by moving the decimal point 7 places to the right. As we are moving the decimal point 7 places to the right we are making the number 107 times as large. Therefore we need to multiply by 10-7 to get back to the original number.

What is 0.086 x 10 -7 in scientific notation?

The scientific notation is: 0.086 x 10-7

The standard notation is: 0.0000000086

How do you write 000100 in scientific notation?

Since the leading three zeros in this number mean nothing, 000100, becomes just 100, which since it is under 1,000 wouldn't normally be written in scientific notation. 100, would however be written as 1.0 x 102.

How do you do scientific notation backwards?

I am not sure which process you consider forwards and which backwards.

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 mantissa of 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, then b 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

How do you write 42000 in scientific notation?

4.2x10(4)

Just remember to put dot between digits 1 to 9 and then get it into power of it's zeros including dot(point).