Question

Mercury is 5.8 × 10^7 km from the sun. Neptune is 4.5 × 10^10 km from the sun. How much further is Neptune from the sun than Mercury?(1 point)
Divide the distances: 4.5 × 10^10/5.8 × 10^7 = 0.78 × 10^3 = 7.8 × 10^2 km
Multiply the distances: (5.8 × 10^7) ⋅ (4.5 × 10^10) = (5.8 × 4.5) ⋅ (10^7^+^10) = 26.1 × 10^17 = 2.61 × 10^18 km
Add the distances together: (5.8 × 10^7) + (4.5 × 10^10) = 10.3 × 10^17 = 1.03 × 10^18 km
Subtract the distances by getting the same power of 10: (4.5 × 10^10) − (5.8 × 10^7) = (4.5 × 10^10) − (0.0058 × 10^10)=4.49 × 10^10 km

Answer 1

When adding and subtracting numbers in Scientific Notation, the powers of the base 10 must be the same exponent so that you have "like terms". When multiplying and dividing numbers in Scientific Notation, you do not have to have the same power of the base 10. You can simply follow the exponent rules for multiplying and dividing with the like base 10. (1 point)
True, coefficients follow the operations and exponents follow exponent rules when you are multiplying or dividing.
False, you must always have the same exponent on the base 10 for all operations in Scientific Notation.
True, when multiplying and dividing you can just multiply the coefficients and multiply the exponents.
False, you cannot multiply or divide numbers in Scientific notation without having the same coefficients.

Answer 2

A cab company charges $12 per mile for a lift to the airport. What change would the company make to their charges to make this a non proportional situation? (1 point)
Charge $15 per mile instead of $12
Charge $4 per mile instead of $12
Charge a flat rate of $20 and then $12 per mile
No changes are needed No changes are needed

Answer 3

Neptune is 4.49 × 10^10 km further from the sun than Mercury.

Answer 4

False, you must always have the same exponent on the base 10 for all operations in Scientific Notation.

Answer 5

Charge a flat rate of $20 and then $12 per mile.