Suppose die distance you travel to school is 5 mi. What is die total distance for 197 trips from home to school? Use mental madi.

Solutions

VerifiedThe total amount of trips is $197$,using mental math we can write the amount of students as $(200-3)$ To solve the problem multiply the total amount of trips to the distance traveled to school. So,

$5\cdot(200-3)=1000-15=985$

Therefore,the total distance to school is $985$

Using distributive property, show the total number of trips as the difference of two numbers, which is easier to multiply through mental math.

$\begin{gather*} 200 - 3 = 197 \end{gather*}$

$\begin{align*} &= 5(200 - 3) && \text{Write given as distributive property}\\ &= 1,000 - 15 && \text{Expand by multiplying}\\ &= \boldsymbol{985} && \text{Subtract the values} \end{align*}$

You just need to multiply the distance to the number of trips. \par $5 \times 197$ \par $5 \times 197 = 985$