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What Is the Correct Way to Write 1,550,000,000 in Scientific Notation?

Scientific notation is a way to express very large or very small numbers in a compact and standardized format. It is commonly used in the fields of science, engineering, and mathematics to represent numbers that are too big or too small to write out in standard decimal notation. In scientific notation, a number is expressed as a product of a decimal number between 1 and 10 and a power of 10. So, what is the correct way to write 1,550,000,000 in scientific notation? Let’s find out!

To write 1,550,000,000 in scientific notation, we need to move the decimal point so that there is only one non-zero digit to the left of it. In this case, we can achieve that by moving the decimal point 9 places to the left. However, scientific notation requires the decimal number to be between 1 and 10, so we also need to adjust the power of 10 accordingly.

1,550,000,000 can be written as 1.55 × 10^9 in scientific notation. Here, 1.55 is the decimal number between 1 and 10, and 10^9 represents the power of 10 required to restore the original value. The exponent 9 indicates that we moved the decimal point 9 places to the left.

FAQs:

Q: Why do we use scientific notation?

A: Scientific notation allows us to express very large or very small numbers in a concise and standardized format. It is particularly useful in scientific and mathematical calculations, where dealing with extremely large or small numbers is common.

Q: How do I convert a number to scientific notation?

A: To convert a number to scientific notation, you need to move the decimal point so that there is only one non-zero digit to the left of it. If you move the decimal point to the left, the exponent will be positive, and if you move it to the right, the exponent will be negative. Adjust the power of 10 accordingly to represent the new position of the decimal point.

Q: Can you give more examples of scientific notation?

A: Sure! Here are a few examples:

– 3,200,000 can be written as 3.2 × 10^6 in scientific notation. (Decimal moved 6 places to the left)

– 0.000045 can be written as 4.5 × 10^-5 in scientific notation. (Decimal moved 5 places to the right)

Q: How can scientific notation be helpful in everyday life?

A: While scientific notation is primarily used in scientific and technical fields, it can also be helpful in everyday life. For instance, it can be used to express distances between celestial bodies, such as the distance between the Earth and the Sun, which is approximately 1.496 × 10^11 meters. It can also be used to represent the sizes of microscopic organisms or particles.

Q: Is scientific notation used in any other disciplines besides science?

A: Yes, scientific notation is not limited to science alone. It is also used in engineering, finance, and various branches of mathematics. Any field that deals with very large or very small numbers can benefit from using scientific notation.

In conclusion, the correct way to write 1,550,000,000 in scientific notation is 1.55 × 10^9. Scientific notation provides a standardized and concise format for representing large or small numbers. It is a valuable tool in various scientific, mathematical, and technical disciplines.

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