Question

A 747 airplane weighs about 600,000 pounds. It can also be expressed as approximately 3 times 10 Superscript n tons. If there are 2,000 pounds in 1 ton, which is the most reasonable value of n?

Answer 1

2

Explanation:

We have the equivalence between tons and pounds, therefore:

600,000 pound = 300 tons

Now, they tell us that:

3 * 10 ^ n = 300

Dividing by 3 the whole equation we have:

10 ^ n = 100

Now how many times must the number 10 be multiplied so that of 100:

10 ^ 2 = 100

Thus:

n = 2

Answer 2

n= 2

Explanation:

2000 pounds = 1 ton

600000 pounds = X tons

Hence X tons = (600000 x 1) ÷ 2000 = 300 tons

3 x 10ⁿ = 300

Hence 3 x 10ⁿ = 3 x 10²

Hence n= 2