1. Which is larger?
2.75 x 10^3 or 4.92 x 10^2
To compare these two numbers, you need to convert them to scientific notation and compare the exponents.
2.75 x 10^3 can be written as 2.75 x 1000 = 2750
4.92 x 10^2 can be written as 4.92 x 100 = 492
Since 2750 is larger than 492, 2.75 x 10^3 is larger than 4.92 x 10^2.
2. The moon is 238,900 miles from the Earth. Estimate the distance as the product of a single digit number times a power of 10.
To estimate the distance of the moon as the product of a single digit number times a power of 10, we can round the distance to the nearest power of 10.
238,900 miles can be rounded to 200,000 miles.
200,000 miles can be written in scientific notation as 2 x 10^5 miles.
Therefore, the estimated distance of the moon from the Earth is 2 x 10^5 miles.