Question

choose the best approximation of the length of a human stride. choose 1 answer: a 1·10^0 m b 1·10^1 m a marathon is 42,195 m long. choose the best approximation of the length of a marathon. choose 1 answer: a 4·10^4 m b 4·10^5 m approximately how many strides does it take to complete a marathon? choose 1 answer: a 4·10^3 strides b 4·10^4 strides c 4·10^5 strides

Explanation:

Step1: Approximate human - stride length

A typical human stride length is about 1 meter. Since $1\times10^{0}=1$, the best approximation of the length of a human stride is $1\times10^{0}$ m.

Step2: Approximate marathon length

The length of a marathon is 42195 m. In scientific - notation, $42195\approx4\times10^{4}$ m (because $42195 = 4.2195\times10^{4}\approx4\times10^{4}$).

Step3: Calculate number of strides in a marathon

To find the number of strides in a marathon, we divide the length of the marathon by the length of a stride. Let the length of the marathon be $L = 4\times10^{4}$ m and the length of a stride be $s=1\times10^{0}$ m. Then the number of strides $n=\frac{L}{s}=\frac{4\times10^{4}}{1\times10^{0}} = 4\times10^{4}$ strides.

Answer:

A. $1\times10^{0}$ m
A. $4\times10^{4}$ m
B. $4\times10^{4}$ strides