Lesson 9 Homework 4.1 consists of a total of four numbers. The first three numbers ask you to round to the nearest number. As for the last number, it asks you to solve the problems using pictures, numbers, or words.

1. Round to the nearest thousand.

a. 6,842 = _____

b. 2,722 = _____

c. 16,051 = _____

d. 706,421 = _____

e. Explain how you found your answer for Part (d).

2. Round to the nearest ten thousand.

a. 88,999 = _____

b. 85,001 = _____

c. 789,091 = _____

d. 905,154 = _____

e. Explain why two problems have the same answer. Write another number that has the same answer when rounded to the nearest ten thousand.

3. Round to the nearest hundred thousand.

a. 89,659 = _____

b. 751,447 = _____

c. 617,889 = _____

d. 817,245 = _____

e. Explains why two problems have the same answer. Write another number that has the same answer when rounded to the nearest hundred thousand.

4. Solve the following problems using pictures, numbers, or words.

a. At president Obama’s inauguration in 2013, the newspaper headlines stated there were about 800,000 people in attendance. if the newspaper rounded to the nearest hundred thousand, what is the largest number and smallest number of people that could have been there?

b. At President Bush’s inauguration in 2005, the newspaper headlines stated there were about 400,000 people in attendance. If the newspaper rounded to the nearest ten thousand, what is the largest number and smallest number of people that could have been there?

c. At President Lincoln’s inauguration in 1861, the newspaper headlines stated there were about 30,000 people in attendance. If the newspaper rounded to the nearest thousand, what is the largest number and smallest number of people that could have been there?

For those who have completed these four questions, you must want to check if your work is correct or if there is something that has to be corrected. Here is the Lesson 9 Homework 4.1 answer key for you:

1. a. 7,000

b. 3,000

c. 16,000

d. 706,000

e. Answers will vary

2. a. 90,000

b. 90,000

c. 790,000

d. 910,000

e. Answers will vary.

3. a. 100,000

b. 800,000

c. 600,000

d. 800,000

e. Answers will vary.

4.

The largest number of people would be 849,000 and the smallest number of people could be 750,000.

b. 410,000

405,000

404,999 largest

400,000

400,000

395,000 smallest

390,000

The largest number of people could be 404,999 and the smallest number of people could be 395,000.

c. 31,000

30,500

30,499

30,000

30,000

29,500 smallest

29,000

The largest number of people could be 30,499 and the smallest number of people could be 24,500.

So, how many questions that you get it right? If there is one or two wrong, you can look at the explanation and learn until you get it.

There are 19 homework in total in 4.1. After completing the Lesson 9 Homework 4.1, you might also want to continue by challenging yourself the next homework of the other lessons. Here is the Lesson 10 Homework 4.1. You can use the value understanding to round multi digit numbers to any place value using the real world applications.

Questions:

1. Round 845,001 to the nearest

a. thousand: _____

b. ten thousand: _____

c. hundred thousand: _____

2. Complete each statement by rounding the number to the given place value.

a. 783 rounded to the nearest hundred is _____.

b. 12,781 rounded to the nearest hundred is _____.

c. 951,194 rounded to the nearest hundred is _____.

d. 1,258 rounded to the nearest thousand is _____.

e. 65,124 rounded to the nearest thousand is _____.

f. 99,451 rounded to the nearest thousand is _____.

g. 60,488 rounded to the nearest ten thousand is _____.

h. 80,801 rounded to the nearest ten thousand is _____.

i. 897,100 rounded to the nearest ten thousand is _____.

j. 880,005 rounded to the nearest hundred thousand is _____.

k. 545,999 rounded to the nearest hundred thousand is _____.

l. 689,114 rounded to the nearest hundred thousand is _____.

3. Solve the following problems using pictures, numbers, or words.

a. In the 2011 New York Marathon, 29,867 men finished the race and 16,928 women finished the race. Each finisher was given a t-shirt. About how many men’s shirts were given away? About how many women’s shirts were given away? Explain how you found your answers.

b. In the 2010 New York City Marathon, 42,429 people finished the race and received a medal. Before the race, the medals had to be ordered. If you were the person in charge of ordering the medals and estimated how many to order by rounding, would you have ordered enough medals? Explain your thinking.

c. In 2010, 28,357 of the finishers were men and 14,072 of the finishers were women. About how many more men finished the race than women? To determine your answer, did you round to the nearest ten thousand or thousand? Explain.

To check if your answers are correct, here is the answer key:

1. a. 845,000

b. 850,000

c. 800,000

2. a. 800

b. 12,800

c. 951,200

d. 1,000

e. 65,000

f. 99,000

g. 60,000

h. 80,000

i. 900,000

j. 900,000

k. 500,000

l. 700,000

3. a. Men:

30,000

29,500

29,000

29,867 ≈ 30,000

Women:

17,000

16,500

16,000

16,928 ≈ 17,000

I rounded each value to the thousands place. 29,8667 rounded up to 30,000 and 16,928 rounded to up to 17,000 because they were greater than the midpoints.

b. If I had rounded 42,429 to the nearest thousands place, I would have not have not ordered enough because 42,429 rounded to the nearest thousand would be 40,000.

c. Men: 28,357 ≈ 30,000

women: 14,072 ≈ 10,000

About 20,000 more men finished than women. It is determined to the nearest ten thousands place. This place is chosen because the availability to use the mental math to solve.