Question

100 points if you show how you got the answer!

The mass of a freight train is 9.98 ⋅ 10^6 kilograms. The mass of an aircraft carrier is 7.3 ⋅ 10^7 kilograms. Approximately how many more kilograms is the mass of an aircraft carrier than the mass of a freight train? Show your work and write your answer in scientific notation.

Answer 1

Freight Train:

= 9.98 x 10^6

= 9.98 x (10 x 10 x 10 x 10 x 10 x 10)

= 9.98 x (1,000,000)

= 9,980,000 kilograms

Aircraft Carrier:

= 7.3 x 10^7

= 7.3 x (10 x 10 x 10 x 10 x 10 x 10 x 10)

= 7.3 x (10,000,000)

= 73,000,000 Kilograms

The aircraft carrier is 72,020,000 kilograms more than the freight train!

0.0000007202 = 7.202 x 10^-7

Answer 2

First, simplify each one.

9.98 x 10^6 = 9980000

7.3 x 10^7 = 73000000

Next, subtract the freight from the aircraft

73000000 - 9980000 = 63020000

Round the decimal point to the first significant digit, and place the amount of place values the decimal point moved to the left as a power sign, over 10.

63020000 = 6.302 x 10^7

6.302 x 10^7 is your answer

hope this helps