Question

The mass of the Eiffel Tower is about 9.16 ⋅ 106 kilograms. The mass of the Golden Gate Bridge is 8.05 ⋅ 108 kilograms. Approximately how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower? Show your work and write your answer in scientific notation.



Please help or im going to faill

Answer 1

Answer:

$7.96 *10^8kg$

Step-by-step explanation:

Given

$Eiffel = 9.16 * 10^6\ kg$

$Golden\ Gate =8.05 * 10^8kg$

Required

Determine the difference in mass

This is calculated by subtracting the mass of Eiffel tower from the mass of Golden gate bridge

$Difference = Golden\ Gate - Eiffel$

$Difference = 8.05 * 10^8 - 9.16 * 10^6$

Express $10^8$ as $10^6 * 10^2$

$Difference = 8.05 * 10^2*10^6 - 9.16 * 10^6$

Express $10^2$ as $100$

$Difference = 8.05 * 100*10^6 - 9.16 * 10^6$

$Difference = 805 *10^6 - 9.16 * 10^6$

Factorize:

$Difference = (805- 9.16) * 10^6$

$Difference = 795.84 * 10^6$

Factorize the decimal number

$Difference = 7.9584 *10^2 * 10^6$

$Difference = 7.9584 *10^8$

Approximate:

$Difference = 7.96 *10^8$