Question

Mental Math Situation: You exercised 24 hours each month for a year. How many hours did you exercise by the end of the year? You may be able to do the math mentally thanks to expanded notation and the Distributive Property. Calculation With Distribution (Show all steps.) Calculation Without Distribution (Show all steps.) 24*12=288 hours per year I think is easier: to distribute. to not distribute. Why I Think it is Easier

Answer 1

The number of hours individula excercise every month is 24 hours.

In a year there are 12 months, so the number of hours indvidual exercise in a year is,

$12\times24=288$

The multiplication of 12 and 24 can be done by use of distribute property as,

$\begin{gathered} 24\times12=24\times(10+2) \\ =24\times10+24\times2 \\ =240+48 \\ =288 \end{gathered}$

So individual exercised 288 hours in a year.

Distributive is easier as it simplify the expressions in which multiplication of large numbers is to be calculated.