Question

Light travels 3 x 10 to the power of 5 kilometers in one second. How far does it travel in 66 seconds?

Write your answer in scientific notation.

Answer 1

1.98×10⁷km

Explanation:

3×10⁵=

3×66×10⁵=

198×10⁵=

1.98×10²×10⁵=

1.98×10⁷

first forget about the 10⁵ for a moment

multiply:

3×66=198

a different way (scientific notation) to write 198:

1.98×10²

(the decimal point was moved 2 places to the left, hence 10²)

insert and multiply the 10s:

1.98×10⁷