is a planet it 2.37525 x 10^5 and is 90,118,762.5 km away from the sun. how do u explain the scientific notation
Scientific notation is a way to express numbers that are very large or very small in a concise and standardized format. It consists of two parts: a coefficient and an exponent.
In the given example, the number 2.37525 x 10^5 is written in scientific notation. Here's how it can be explained:
1. Coefficient: The coefficient is the number that is being multiplied by a power of 10. In this case, the coefficient is 2.37525. It is a decimal number between 1 and 10.
2. Exponent: The exponent represents the power of 10 that the coefficient is multiplied by. Here, the exponent is 5. It means that the coefficient is multiplied by 10 raised to the power of 5.
By using scientific notation, the large number 2.37525 x 10^5 (237,525) can be expressed in a condensed form, making it easier to read and write.
Scientific notation is a way to express numbers that are very large or very small. It is commonly used in scientific fields to make numbers more manageable to work with.
In scientific notation, a number is expressed as the product of a coefficient and a power of 10. The coefficient is a number greater than or equal to 1 but less than 10. The power of 10 represents the number of times you have to multiply the coefficient by 10.
For example, let's take the number 2.37525 x 10^5:
- The coefficient is 2.37525, which is a number between 1 and 10.
- The power of 10 is 5, which means you have to multiply the coefficient by 10 five times.
To express the number 90,118,762.5 km in scientific notation:
- Move the decimal point to the left so that only one nonzero digit remains to the left of the decimal point. In this case, it would be 9.01187625.
- Determine the power of 10 by counting the number of places you moved the decimal point. In this case, the decimal point was moved 8 places to the left, so the power of 10 is -8.
- Write the number in the form of coefficient x 10^power of 10. So, 90,118,762.5 km in scientific notation would be 9.01187625 x 10^-8.
In summary, scientific notation allows us to express large numbers more concisely by multiplying a number between 1 and 10 by a power of 10. The power of 10 indicates how many places the decimal point should be moved.
Scientific notation is a way to express very large or very small numbers using powers of 10. It consists of two parts: the coefficient and the exponent.
Let's take the given number, 2.37525 x 10^5, as an example. The coefficient, 2.37525, is a number between 1 and 10. The exponent, 5, represents the power of 10 by which the coefficient is multiplied.
To express a number in scientific notation:
1. Identify the coefficient, which should be a number between 1 and 10.
2. Determine the exponent, which represents the power of 10.
3. Multiply the coefficient by 10 raised to the power of the exponent.
In the given example, the coefficient is 2.37525, and the exponent is 5. So, when we multiply the coefficient by 10 raised to the power of 5, we get the number 237,525.
Therefore, 2.37525 x 10^5 can be written as 237,525.
Now, let's apply this understanding to the other part of the question, which states that a planet is 90,118,762.5 km away from the sun. To express this distance in scientific notation, follow the steps explained above:
1. Identify the coefficient: The coefficient is 9.01187625, which is already between 1 and 10.
2. Determine the exponent: The number is quite large, so we need to shift the decimal point to the left. By doing so, we count the number of places moved, which becomes the exponent. In this case, the decimal point needs to be shifted 7 places to the left, so the exponent is -7.
3. Multiply the coefficient by 10 raised to the power of the exponent: 9.01187625 x 10^-7.
Therefore, the distance of the planet from the sun can be expressed in scientific notation as approximately 9.01187625 x 10^-7 km.