Question

The Order of Magnitude for the total length of 6 cars, which average 8 feet

each, is ______

Answer 1

The order of magnitude of length is 2.

Explanation:

Since we are given the total number of cars is 6 and the length of each car is 8 feet hence the length of 6 cars equals

`Length=6* 8=48`

Now by definition of order of magnitude we know it is the smallest power of 10 by which a number can be represented.

Mathematically order of magnitude of 'N' is given by 'b'

`N=a* 10^(b)\\\\with\\\\(√(10))/(10)\leq a<√(10)`

Hence we can write

`48=0.48* 10^(2)`

Since the power of 10 is 2 hence the order of magnitude of 48 feet is 2.

Answer 2

The Order of Magnitude is 1

Explanation:

If

N=a*10^{b}

b is the order of magnitude

Total length = 6 * 8 feet= 48 feet=4.8*10^1 feet