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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

How do you write 70000 in scientific notation?

You could now many numbers there are after the first, in this case, 4.

Then, you will put a decimal point there, giving you 7.0000. You will then multiply this by 10 to the power of the amount of digits after the first digit, in this case, 4. So;

7x10^4.

What is 3300000 in scientific notation?

Just slide the decimal point over until you have moved it some multiple of three times (3, 6, 9, 12) but without causing 0s to be the only thing left of the decimal point.

3300000 would be best expressed moving the decimal point to the left 6 places.

This would give us 3.3 but we need to incorporate the notation that we have moved the decimal place.

Because we moved it to the left, we must show that the actual number is bigger than 3.3 so the exponent is positive. We moved it exactly 6 places so the final answer is 3.3x106

Numbers to write in scientific notation?

Scientific notation is a way to express numbers that are either very small or very large. In traditional notation the first kind would have a lot of 0s between the decimal point and the first significant figure whereas the second kind would have a large number of trailing 0s. The need for scientific notation arose from advances in various branches of science: atomic particles in physics or chemistry, astronomical or cosmological distances, size of single cell animals. Nowadays, even non-scientific values such as population, national debts (of some countries) could usefully utilize scientific notation.

Scientific notation is a way of representing numbers in the form

a*10b 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.

The advantages of scientific notation are greater with very large and very small numbers, the notation can be used for any number.

How do you write 7 billion in scientific notation?

7 billion in Scientific Notation = 7 x 109
To express a number in scientific notation, you first need to divide it by a power of 10 such that the greatest significant figure is in the units place. In this case, that can be done by dividing 7 billion by 1 billion to give 7. Next, the power of ten that was used should be placed alongside as a multiplication. We used 1 billion, which is the 9th power of 10. Thus, 7 billion in scientific notation is 7x109

What is the scientific notation of 0.000005?

Count the number of places to the right of the decimal, five zeros and the five, so a total of 6 decimal places. Since the number is less than one (to the right of the decimal), use negative six to express the power. The answer then is 5 x 10-6

0.000714 in scientific notation?

We multiply or divide the number by powers of 10 so that the first digit in the number is between 1 and 10.

So 0.000714 = 7.14 x 10-4

Write 45.668 in scientific notation?

Shift a decimal place to the left, so the exponent for base 10 is 1. Hence, the term in scientific notation is:

4.5668 x 10

How do you write 0007615 in scientific notation?

Assuming there is a decimal point before the first zero,

.0007615 = 7.615 * 10-4

Convert 0.002378 into scientific notation?

Move 3 decimal places right from the starting point. Therefore, 0.002378 in Scientific Notation is 2.378 x 10-3