An order of magnitude is the class of scale of any amount in which each class contains values of a fixed ratio to the class preceding it. Usually, the amount scaled is 10, and the scale is the exponent applied to this amount.
Question 5
The weight of each car is 3,000 pounds. There are 5 cars in total. Therefore, the total weight is given to be:
[tex]\Rightarrow3000\times5=15000\text{ pounds}[/tex]Writing the calculated weight in standard form, scaling to 10, we have:
[tex]15000=1.5\times10^4[/tex]Therefore, the order of magnitude is 4.
Question 6
The number of people that voted per county is 20,000. There are 7 counties in total. Therefore, the total number of people that voted is:
[tex]\Rightarrow20000\times7=140000[/tex]Writing the calculated number in standard form, scaling to 10, we have:
[tex]140000=1.4\times10^5[/tex]Therefore, the order of magnitude is 5.
