Scientific notation is a way of expressing very large or very small numbers in a more convenient and compact form. It involves representing a number as the product of a coefficient and a power of ten. This allows us to easily represent numbers that would otherwise be impractical to write out in full.

For example, the number 67890000 can be written in scientific notation as 6.789 x 10^7. This can be read as "six point seven eight nine times ten to the seventh power." The coefficient, or the number in front of the "x," is always between 1 and 10, and the exponent, or the number after the "^," indicates the number of zeros that follow the coefficient. In this case, the exponent is 7, which means there are seven zeros after the coefficient.

Scientific notation is commonly used in scientific and technical fields, where very large or very small numbers are often encountered. It is particularly useful for expressing measurements in the fields of physics, chemistry, and engineering, where it is often necessary to compare quantities that differ by many orders of magnitude.

For example, the size of an atom can be expressed in scientific notation as approximately 10^-10 meters, while the distance from the Earth to the sun can be expressed as approximately 1.5 x 10^11 meters. Without scientific notation, it would be difficult to compare these two quantities, as the difference in the number of digits is so great.

In addition to its practical use, scientific notation is also a useful tool for understanding the concept of place value and the magnitude of different numbers. By using scientific notation, we can see how the placement of a digit in a number affects its value. For example, in the number 67890000, the digit 8 has a value of 8 x 10^6, which is much larger than the value of the digit 7, which is 7 x 10^3.

In conclusion, scientific notation is a valuable tool for representing and comparing very large or very small numbers in a more convenient and compact form. It is widely used in scientific and technical fields and is also useful for understanding the concept of place value and the magnitude of different numbers.

## SOLVED: Part 2: Convert each number into scientific notation. 3. 67,890,000 4. 70,500 5. 450,900,800 6. 0.009045 7. 0.023

Examples of elements include carbon, oxygen, aluminum, iron, gold, copper, mercury, and lead. Now it's multi the top, so 2. The eighth power and 0. Very small numbers are converted to an equivalent decimal number between 1 and 10, multiplied by 10 raised to some negative power. Let's learn through examples: Example 1: How do you express 0.

## [Solved] Part 2: Convert each number into scientific notation. 3. 67,890,000...

They are carbon, hydrogen, nitrogen, oxygen, phosphorus, and sulfur. If you measure a radius of 2. Carbon is also used to construct the energy-rich molecules adenosine triphosphate ATP and guanosine triphosphate GTP. Thus, the scientific notation for 0. Carbon is an important element for all living organisms, as it is used to construct the basic building blocks of life, such as carbohydrates, lipids, and nucleic acids.