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The Popular Vote, Electoral College and Electoral Power

Counting electors per state, comparing who wins the raw ballot count against who wins the electoral tally, and measuring how much a single vote weighs.

Math in Society, The Popular Vote, Electoral College and Electoral Power

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22 exercises

Exercise 1

How is the U.S. President selected?

2.5

Exercise 2

How many electors are there in the U.S. Electoral College?

2.5

Exercise 3

How many U.S. Senators represent each state?

2.5

Exercise 4

What is the length of a term of a U.S. Senator?

2.5

Exercise 5

How many Representatives serve in the U.S. House of Representatives?

2.5

Exercise 6

What is the length of a term of a U.S. Representative?

2.5

Exercise 7

In each fictional country in problems 7-10, use the rules of the U.S. government to complete the table and determine the following:

  1. The total number of electors in the state.

  2. The number of electoral votes needed for a majority and win a presidential election.

In this country there is one representative for every 50,000 residents.

2.5

Exercise 8

In each fictional country in problems 7-10, use the rules of the U.S. government to complete the table and determine the following:

  1. The total number of electors in the state.

  2. The number of electoral votes needed for a majority and win a presidential election.

In this country there is one representative for every 75,000 residents.

2.5

Exercise 9

In each fictional country in problems 7-10, use the rules of the U.S. government to complete the table and determine the following:

  1. The total number of electors in the state.

  2. The number of electoral votes needed for a majority and win a presidential election.

In this country there is one representative for every 40,000 residents.

2.5

Exercise 10

In each fictional country in problems 7-10, use the rules of the U.S. government to complete the table and determine the following:

  1. The total number of electors in the state.

  2. The number of electoral votes needed for a majority and win a presidential election.

In this country there is one representative for every 60,000 residents.

2.5

Exercise 11

In each fictional country in problems 11-14, use the rules of the U.S. government (assume that all of a state's electoral votes go to the candidate who received the majority of the votes in that state) to complete the table and determine the following:

  1. The winner of the popular vote in the country and the percentage of votes they won.

  2. The winner of the electoral college who becomes the president and…

2.5

Exercise 12

In each fictional country in problems 11-14, use the rules of the U.S. government (assume that all of a state's electoral votes go to the candidate who received the majority of the votes in that state) to complete the table and determine the following:

  1. The winner of the popular vote in the country and the percentage of votes they won.

  2. The winner of the electoral college who becomes the president and…

2.5

Exercise 13

In each fictional country in problems 11-14, use the rules of the U.S. government (assume that all of a state's electoral votes go to the candidate who received the majority of the votes in that state) to complete the table and determine the following:

  1. The winner of the popular vote in the country and the percentage of votes they won.

  2. The winner of the electoral college who becomes the president and…

2.5

Exercise 14

In each fictional country in problems 11-14, use the rules of the U.S. government (assume that all of a state's electoral votes go to the candidate who received the majority of the votes in that state) to complete the table and determine the following:

  1. The winner of the popular vote in the country and the percentage of votes they won.

  2. The winner of the electoral college who becomes the president and…

2.5

Exercise 15

In each fictional country in problems 15-18, use the rules of the U.S. government to complete the table and determine the following:

  1. The state that has the most electoral power

  2. The state that has the least electoral power

In this country from problem 7, there is one representative for every 50,000 residents.

2.5

Exercise 16

In each fictional country in problems 15-18, use the rules of the U.S. government to complete the table and determine the following:

  1. The state that has the most electoral power

  2. The state that has the least electoral power

In this country from problem 8, there is one representative for every 75,000 residents.

2.5

Exercise 17

In each fictional country in problems 15-18, use the rules of the U.S. government to complete the table and determine the following:

  1. The state that has the most electoral power

  2. The state that has the least electoral power

In this country from problem 9, there is one representative for every 40,000 residents.

2.5

Exercise 18

In each fictional country in problems 15-18, use the rules of the U.S. government to complete the table and determine the following:

  1. The state that has the most electoral power

  2. The state that has the least electoral power

In this country from problem 10, there is one representative for every 60,000 residents.

2.5

Exercise 19

For the country in problem 7, determine all the possible combinations of states that would win the electoral college. What is the minimum number of votes needed to win the electoral college?

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Exercise 20

For the country in problem 8, determine all the possible combinations of states that would win the electoral college. What is the minimum number of votes needed to win the electoral college?

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Exercise 21

For the country in problem 9, determine all the possible combinations of states that would win the electoral college. What is the minimum number of votes needed to win the electoral college?

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Exercise 22

For the country in problem 10, determine all the possible combinations of states that would win the electoral college. What is the minimum number of votes needed to win the electoral college?

2.5

Adapted from Math in Society © 2018–2024 Portland Community College Math Instructors. Licensed under CC BY-SA 4.0. Source: Math in Society. Imported at revision 68ee43c.