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ORELA Earth and Space Science Practice Tests & Test Prep by Exam Edge

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ORELA Earth and Space Science Sample Test

1 of 5

There are 4 X 10²¹ grains of sand located on Earth. Which of the following identifies 4 X 10²¹ ?

Correct Answer:

it is a scientific notation.

the correct answer to the question is that 4 x 10^21 is a scientific notation. scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. it is commonly used by scientists, engineers, and mathematicians to make calculations simpler and to easily convey large numbers.

in scientific notation, a number is written as the product of two factors: a coefficient and a power of ten. the coefficient must be a number greater than or equal to 1 and less than 10, and the power of ten is an integer. in the given example, the number 4 x 10^21 is in scientific notation. here, 4 is the coefficient and 21 is the exponent, indicating that the decimal point has been moved 21 places to the right.

when applied to real-world quantities, such as estimating the number of grains of sand on earth, scientific notation allows for a more manageable expression of extremely large numbers. scientists have estimated that there are around 4,000,000,000,000,000,000,000 grains of sand on earth. writing this number in scientific notation, as 4 x 10^21, simplifies many mathematical operations and makes the number easier to read and understand.

it's important to note that scientific notation strictly refers to the format of the number and does not imply anything about the type of quantity being measured (such as weight, volume, or count). therefore, the other options suggesting that 4 x 10^21 represents the weight, volume, or an astrological calculation related to the mass of the sand grains are incorrect. the number simply quantifies an estimate of the total count of sand grains, expressed in a concise mathematical form.