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Write 10 Gaga grams in scientific notation and convert the answer into imperial unites

The standard form of four hundred twenty thousand thirteen (420,013) is: 4.20013 × 105

21 million in figures is 21,000,000

In scientific notation it is 2.1 x 10^(7)

Scientific notation only contains one digit before the decimal place and the rest are decimals and then the powers of 10 multiplied to get the original number is expressed by E(power of 10).

So the only digit in front of the decimal in this case would be 2.

Thus the numeric portion of the scientific notation would be 2.31 (the trailing zeros are ignored since they are not significant figures).

But what is important is what power of 10 to multiply to get the original number. Since to move the decimal point to the new place of 2.31, it had to move to the left 6 places, thus the power is a +6.

So the scientific notation would be (put the numbers together):

2 310 000 = 2.31E6.

Lets practice with a number that's less than one.

Similar to the top number, but different order of magnitude.

0.000 000 231

Numeric component is the same: 2.31

But to get the decimal to its right place it had to shifted to the right 7 places, thus the power of ten is a -7.

Put it together:

0.000 000 231 = 2.31E-7.

Easy right?

50010 to the power of 3 in scientific notation is written as 1.2515 x 10^12.

Bookkeepers use scientific notation in order to represent very large or very small numbers in a more concise and manageable format. By using scientific notation, bookkeepers are able to express numbers in terms of a coefficient and a power of 10, making it easier to perform calculations and interpret financial data. Additionally, scientific notation helps in maintaining accuracy and consistency when dealing with numbers of varying magnitudes.

In scientific notation, a number is expressed as a decimal multiplied by a power of 10. To determine if a number is big or small, look at the power of 10. If the power is positive, the number is big, and if the power is negative, the number is small. The higher the magnitude of the power, the larger or smaller the number.

- 3.2 x 10^6 (3.2 million)
- 4.5 x 10^-3 (0.0045)
- 6.8 x 10^9 (6.8 billion)
- 2.1 x 10^4 (21,000)
- 9.7 x 10^-5 (0.000097)

It is appropriate to use scientific notation when dealing with very large or very small numbers, particularly when the numbers have many zeroes. Scientific notation is a more compact and efficient way to express these numbers, making calculations and comparisons easier. Additionally, scientific notation is commonly used in scientific fields to express measurements and mathematical equations.

583000 can be written in scientific notation as 5.83 x 10^5.

840000 can be written in scientific notation as 8.4 x 10^5.