How is the number 37,120,000 expressed in scientific notation?

How is the number 37,120,000 expressed in scientific notation?

• A. 3.712 x 10^6
• B. 3.712 x 10^7
• C. 3.712 x 10^8
• D. 3.712 x 10^5

Answer: (B)

To express the number 37,120,000 in scientific notation, you need to rewrite it as a product of a number between 1 and 10 and a power of ten. In this case, you take the significant figures of 37,120,000, which are 3.712, and then determine how many places to move the decimal point to reach a number between 1 and 10. Starting from the original number, 37,120,000, you can move the decimal point 7 places to the left, which results in 3.712. Since you moved the decimal point to the left, you express this in scientific notation as multiplying by 10 raised to the power of 7. Therefore, the correct scientific notation is 3.712 x 10^7. This method of converting to scientific notation allows for easier manipulation and understanding of very large or very small numbers, particularly in fields such as science and engineering.

To express the number 37,120,000 in scientific notation, you need to rewrite it as a product of a number between 1 and 10 and a power of ten. In this case, you take the significant figures of 37,120,000, which are 3.712, and then determine how many places to move the decimal point to reach a number between 1 and 10.

Starting from the original number, 37,120,000, you can move the decimal point 7 places to the left, which results in 3.712. Since you moved the decimal point to the left, you express this in scientific notation as multiplying by 10 raised to the power of 7. Therefore, the correct scientific notation is 3.712 x 10^7.

This method of converting to scientific notation allows for easier manipulation and understanding of very large or very small numbers, particularly in fields such as science and engineering.