Question

5. What is the order of magnitude for the total weight of 5 cars that weigh 3,000 pounds each?6. 20,000 people voted in each county, and there are 7 counties. What is the order of magnitude for the total number of people who voted?

Answer 1

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:

`\Rightarrow3000*5=15000\text{ pounds}`

Writing the calculated weight in standard form, scaling to 10, we have:

`15000=1.5*10^4`

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:

`\Rightarrow20000*7=140000`

Writing the calculated number in standard form, scaling to 10, we have:

`140000=1.4*10^5`

Therefore, the order of magnitude is 5.