how do i put these numbers in scientific notation?

1) 543.2

2) 6,700.008

5.432 x 10^2

6.700008 x 10^3

The number you have in front must be between 1 and below 10. You multiply that by ten to a certain power. Ex: 10^0 = 1, 10^1 = 10. 5.0 x 10^1 = 50. Remember to retain all significant figures.

To put a number in scientific notation, you need to write it as a product of a number between 1 and 10 and a power of 10. Here's how you can put the given numbers in scientific notation:

1) 543.2:
To write this number in scientific notation, move the decimal point to the right of the first nonzero digit and count the number of places moved. In this case, you would move the decimal point one place to the right, resulting in 5.432. Since the decimal point has been moved one place to the right, the power of 10 becomes -1. Therefore, the number 543.2 in scientific notation is written as 5.432 x 10^2.

2) 6,700.008:
Similarly, to write this number in scientific notation, move the decimal point to the right of the first nonzero digit and count the number of places moved. Here, the decimal point needs to be moved four places to the left, so the number becomes 0.06700008. The power of 10 becomes +4 since the decimal point has been moved four places to the left. Therefore, the number 6,700.008 in scientific notation is written as 6.700008 x 10^4.