## Engage NY Eureka Math 4th Grade Module 1 Lesson 11 Answer Key

### Eureka Math Grade 4 Module 1 Lesson 11 Problem Set Answer Key

Question 1.

Solve the addition problems below using the standard algorithm.

a.

Answer:

Explanation:

While adding two numbers we add the numbers according to the place values individually. We add number from ones place to the largest place value.

given number 6,311 and 268

first adding the ones place = 1 + 8 = 9.

ten place : 1 + 6 = 7

hundreds place = 3 + 2 = 5

thousands place = 6

Sum = 6,579

b.

Answer:

Explanation:

While adding two numbers we add the numbers according to the place values individually. We add number from ones place to the largest place value.

given number 6,311 and 1,268

first adding the ones place = 1 + 8 = 9.

ten place : 1 + 6 = 7

hundreds place = 3 + 2 = 5

thousands place = 6 + 1 = 7

Sum = 7,579

c.

Answer:

Explanation:

While adding two numbers we add the numbers according to the place values individually. We add number from ones place to the largest place value.

given number 6,314 and 1,268

first adding the ones place = 4 + 8 = 12. 12 is represented as 10 ones + 2 ones that’s 10 ones make 1 ten and 2 ones. So 1 is carried to the tens place and added to the tens place values.

ten place : 1 + 6 + 1 = 8

hundreds place = 3+ 2 = 5

thousands place = 6 + 1 = 7

Sum = 7,582.

d.

Answer:

Explanation:

While adding two numbers we add the numbers according to the place values individually. We add number from ones place to the largest place value.

given number 6,314 and 2,493

first adding the ones place = 4 + 3 = 7.

ten place : 1 + 9 = 10. 10 tens make 1 hundred . So 1 is carried to the hundreds place and added to the hundreds place values and 0 is represented in tens place

hundreds place = 3+ 4 + 1 = 8

thousands place = 6 + 2 = 8

Sum = 8,807

e.

Answer:

Explanation:

While adding two numbers we add the numbers according to the place values individually. We add number from ones place to the largest place value.

given number 8,314 and 2,493

first adding the ones place = 4 + 3 = 7.

ten place : 1 + 9 = 10. 10 tens make 1 hundred . So 1 is carried to the hundreds place and added to the hundreds place values and 0 is represented in tens place

hundreds place = 3 + 4 + 1 = 8

thousands place = 8 + 2 = 10. 10 thousands make 1 ten thousands . So 1 is carried to the ten thousands place and added to the ten thousands place values and 0 is represented in thousands place

ten thousands = 1

Sum = 10,807.

f.

Answer:

Explanation:

While adding two numbers we add the numbers according to the place values individually. We add number from ones place to the largest place value.

given number 12,378 and 5,463

first adding the ones place = 8 + 3 = 11. 10 ones + 1 ones = 11. 10 ones make 1 ten . So 1 is carried to the tens place and added to the tens place values and 1 is represented in ones place

ten place : 7 + 6 + 1(carry on) = 14. 10 ten and 4 tens = 14 .10 tens make 1 hundred . So 1 is carried to the hundreds place and added to the hundreds place values and 4 is represented in tens place

hundreds place = 3 + 4 + 1(carry on) = 8

thousands place = 2 + 5 = 7

ten thousands = 1

Sum = 17,841

g.

Answer:

Explanation:

While adding two numbers we add the numbers according to the place values individually. We add number from ones place to the largest place value.

given number 52,098 and 6,048

first adding the ones place = 8 + 8 = 16. 10 ones + 6 ones = 16. 10 ones make 1 ten . So 1 is carried to the tens place and added to the tens place values and 6 is represented in ones place

ten place : 9 + 4 + 1(carry on) = 14. 10 ten and 4 tens = 14 .10 tens make 1 hundred . So 1 is carried to the hundreds place and added to the hundreds place values and 4 is represented in tens place

hundreds place = 0 + 0 + 1(carry on) = 1

thousands place = 2 + 6 = 8

ten thousands = 5

Sum = 58,146

h.

Answer:

Explanation:

While adding two numbers we add the numbers according to the place values individually. We add number from ones place to the largest place value.

given number 34,698 and 71,840

first adding the ones place = 8 + 0 = 8.

ten place : 9 + 4 = 13. 10 tens + 3 tens = 13 .10 tens make 1 hundred . So 1 is carried to the hundreds place and added to the hundreds place values and 3 is represented in tens place

hundreds place = 6 +8 + 1(carried number) = 15 = 10 hundred + 5 hundred . 10 hundreds make 1 thousands . So 1 is carried to the thousands place and added to the thousands place values and 5 is represented in hundreds place

thousands place = 4 + 1 + 1(carried number) = 6.

ten thousands = 3 + 7 = 10 .10 ten thousands make 1 hundred thousands . So 1 is carried to the hundred thousands place and added to the hundred thousands place values and 0 is represented in ten thousands place

Hundred thousands = 1(carried number) = 1

Sum = 106,538.

i.

Answer:

Explanation:

While adding two numbers we add the numbers according to the place values individually. We add number from ones place to the largest place value.

given number 34,698 and 71,840

first adding the ones place = 1 + 5 = 6.

ten place : 1 + 4 = 5.

hundreds place = 8 + 4 = 12 = 10 hundred + 2 hundred . 10 hundreds make 1 thousands . So 1 is carried to the thousands place and added to the thousands place values and 2 is represented in hundreds place

thousands place = 4 + 6 + 1(carried number) = 11 =10 thousand + 1 thousand. 10 thousands make 1 ten thousands . So 1 is carried to the ten thousands place and added to the ten thousands place values and 1 is represented in thousands place

ten thousands = 4 + 5 + 1(carried number) = 10 .10 ten thousands make 1 hundred thousands . So 1 is carried to the hundred thousands place and added to the hundred thousands place values and 0 is represented in ten thousands place

Hundred thousands = 1(carried number) = 5 + 3 + 1(carried number) = 9

Sum = 901,256.

j. 527 + 275 + 752

Answer:

Explanation:

While adding two numbers we add the numbers according to the place values individually. We add number from ones place to the largest place value.

given number 527 , 275 and 752

first adding the ones place = 7 + 5 + 2 = 14 = 10 ones + 4 ones . 10 ones make 1 tens . So 1 is carried to the tens place and added to the tens place values and 4 is represented in ones place

ten place : 2 + 7 + 5 + 1(carried number) = 15 = 10 tens + 5 tens. 10 tens make 1 hundred . So 1 is carried to the hundreds place and added to the hundreds place values and 5 is represented in tens place

hundreds place = 5 +2 + 7 + 1(carried number)= 15 = 10 hundred + 5 hundred . 10 hundreds make 1 thousands . So 1 is carried to the thousands place and added to the thousands place values and 5 is represented in hundreds place

thousands place = 4 + 6 + 1(carried number) = 11 =10 thousand + 1 thousand. 10 thousands make 1 ten thousands . So 1 is carried to the ten thousands place and added to the ten thousands place values and 1 is represented in thousands place

ten thousands = 4 + 5 + 1(carried number) = 10 .10 ten thousands make 1 hundred thousands . So 1 is carried to the hundred thousands place and added to the hundred thousands place values and 0 is represented in ten thousands place

Hundred thousands = 1(carried number) = 5 + 3 + 1(carried number) = 9

Sum = 1,554

k. 38,193 + 6,376 + 241,457

Answer:

Explanation:

While adding two numbers we add the numbers according to the place values individually. We add number from ones place to the largest place value.

given number 38,193 + 6,376 + 241,457

first adding the ones place = 3 + 6 + 7= 16 = 10 ones + 6 ones . 10 ones make 1 tens . So 1 is carried to the tens place and added to the tens place values and 6 is represented in ones place

ten place : 9 + 7 + 5 + 1(carried number) = 22 = 20 tens + 2 tens. 20 tens make 2 hundred . So 1 is carried to the hundreds place and added to the hundreds place values and 2 is represented in tens place

hundreds place = 1 + 3 + 4 + 1(carried number)= 10. 10 hundreds make 1 thousands . So 1 is carried to the thousands place and added to the thousands place values and 0 is represented in hundreds place

thousands place = 8 + 6 + 1 +1(carried number) = 16 =10 thousand + 6 thousand. 10 thousands make 1 ten thousands . So 1 is carried to the ten thousands place and added to the ten thousands place values and 6 is represented in thousands place

ten thousands =3 + 4 + 1(carried number) = 8 .

Hundred thousands = 2

Sum = 286,026.

Draw a tape diagram to represent each problem. Use numbers to solve, and write your answer as a statement.

Question 2.

In September, Liberty Elementary School collected 32,537 cans for a fundraiser. In October, they collected 207,492 cans. How many cans were collected during September and October?

Answer:

Number of cans collected by the Liberty Elementary School for a fundraiser in September are = 32,537

Number of cans collected by the Liberty Elementary School for a fundraiser in October are = 207,492

Total number of cans collected during September and October are = 32,537 + 207,492 =

Question 3.

A baseball stadium sold some burgers. 2,806 were cheeseburgers. 1,679 burgers didn’t have cheese. How many burgers did they sell in all?

Answer:

Number of cheeseburgers sold at baseball stadium = 2,806

Number of burgers without cheese sold at baseball stadium are = 1,679

Total number of burgers sold in all are = 2,806 + 1,679

Question 4.

On Saturday night, 23,748 people attended the concert. On Sunday, 7,570 more people attended the concert than on Saturday. How many people attended the concert on Sunday?

Answer:

Number of people attended the concert on Saturday night = 23,748

Number of people attended the concert on Sunday are = 7,570 more than on Saturday

Total people attended the concert on Sunday = 23,748 + 7, 570

### Eureka Math Grade 4 Module 1 Lesson 11 Exit Ticket Answer Key

Question 1.

Solve the addition problems below using the standard algorithm.

a.

Answer:

Explanation:

While adding two numbers we add the numbers according to the place values individually. We add number from ones place to the largest place value.

given number 23,607 and 2,307

first adding the ones place = 7 + 7 = 14. 14 is represented as 10 + 4 that’s 1 ten and 4 ones. So 1 is carried to the tens place and added to the tens place values.

ten place : 0 + 0 + 1 = 1

hundreds place = 6 + 3 = 9

thousands place = 3 + 2 = 5

ten thousands place = 2

Sum = 25,914.

b.

Answer:

Explanation:

While adding two numbers we add the numbers according to the place values individually. We add number from ones place to the largest place value.

given number 3,948 and 278

first adding the

ones place = 8 + 8 = 16. 16 is represented as 10 + 6 that’s 1 ten and 6 ones. So 1 is carried to the tens place and added to the tens place values and 6 is represented in ones place.

ten place : 4 + 7 + 1(carried number) = 12 = 10 + 2 that’s 1 hundred and 2 tens. So 1 is carried to the hundreds place and added to the hundreds place values and 2 is represented in tens place.

hundreds place = 9 + 2 + 1(carried number) = 12 = 10 + 2 that’s 1 thousand and 2 hundred. So 1 is carried to the thousands place and added to the thousands place values and 2 is represented in hundreds place.

thousands place = 3 + 1(carried number) = 4

Sum = 4,226.

c. 5,983 + 2,097

Answer:

Explanation:

While adding two numbers we add the numbers according to the place values individually. We add number from ones place to the largest place value.

given number 5,983 and 2,097

first adding the

ones place = 3 + 7 = 10. 10 is represented as 10 + 0 that’s 1 ten and 0 ones. So 1 is carried to the tens place and added to the tens place values and 0 is represented in ones place.

ten place : 8 + 9 + 1(carried number) = 18 = 10 + 8 that’s 1 hundred and 8 tens. So 1 is carried to the hundreds place and added to the hundreds place values and 8 is represented in tens place.

hundreds place = 9 + 0 + 1(carried number) = 10 = 10 + 0 that’s 1 thousand and 0 hundred. So 1 is carried to the thousands place and added to the thousands place values and 0 is represented in hundreds place.

thousands place = 5 + 2 + 1(carried number) = 8

Sum = 8,080

Question 2.

The office supply closet had 25,473 large paper clips, 13,648 medium paper clips, and 15,306 small paper clips. How many paper clips were in the closet?

Answer:

Number of large paper clips = 25,473

Number of medium paper clips = 13,648

Number of small paper clips = 15,306

Total number of paper clips = 25,473 + 13,648 + 15,306

### Eureka Math Grade 4 Module 1 Lesson 11 Homework Answer Key

Question 1.

Solve the addition problems below using the standard algorithm.

a.

Answer:

Explanation:

While adding two numbers we add the numbers according to the place values individually. We add number from ones place to the largest place value.

given number 7,909 and 1,044

first adding the ones place = 9 + 4 = 13 = 10 ones + 3 ones . 10 ones make 1 tens . So 1 is carried to the tens place and added to the tens place values and 3 is represented in ones place

ten place : 0 + 4 + 1(carried number) = 5

hundreds place = 9 + 0 = 9.

thousands place = 7 + 1 = 8.

Sum = 8,953.

b.

Answer:

Explanation:

While adding two numbers we add the numbers according to the place values individually. We add number from ones place to the largest place value.

given number 27,909 and 9,740

first adding the ones place = 9 + 0 = 9

ten place : 0 + 4 = 4.

hundreds place = 9 + 7 = 16. 10 hundreds make 1 thousands . So 1 is carried to the thousands place and added to the thousands place values and 6 is represented in hundreds place

thousands place = 7 + 9 +1(carried number) = 17 =10 thousand + 7 thousand. 10 thousands make 1 ten thousands . So 1 is carried to the ten thousands place and added to the ten thousands place values and 7 is represented in thousands place.

ten thousands =2 + 1(carried number) = 3 .

Sum = 37,649.

c.

Answer:

Explanation:

While adding two numbers we add the numbers according to the place values individually. We add number from ones place to the largest place value.

given number 827,909 and 42,989

first adding the ones place = 9 + 9= 18 = 10 ones + 8 ones . 10 ones make 1 tens . So 1 is carried to the tens place and added to the tens place values and 8 is represented in ones place

ten place : 0 + 8 + 1(carried number) = 8.

hundreds place = 9 + 9 = 18. 10 hundreds make 1 thousands . So 1 is carried to the thousands place and added to the thousands place values and 8 is represented in hundreds place

thousands place = 7 + 2 +1(carried number) = 10 =10 thousand + 0 thousand. 10 thousands make 1 ten thousands . So 1 is carried to the ten thousands place and added to the ten thousands place values and 0 is represented in thousands place

ten thousands =2+ 4 + 1(carried number) = 7 .

Hundred thousands = 8

Sum = 870,898.

d.

Answer:

Explanation:

While adding two numbers we add the numbers according to the place values individually. We add number from ones place to the largest place value.

given number 289,205 and 11,845

first adding the ones place = 5 + 5 = 10 = 10 ones + 0 ones . 10 ones make 1 tens . So 1 is carried to the tens place and added to the tens place values and 0 is represented in ones place

ten place : 0 + 4 + 1(carried number) = 5.

hundreds place = 2 + 8 = 10. 10 hundreds make 1 thousands . So 1 is carried to the thousands place and added to the thousands place values and 0 is represented in hundreds place

thousands place = 9 + 1 +1(carried number) = 11 =10 thousand + 1 thousand. 10 thousands make 1 ten thousands . So 1 is carried to the ten thousands place and added to the ten thousands place values and 1 is represented in thousands place

ten thousands =8 + 1 + 1(carried number) =10. 10 ten thousands make 1 hundred thousands . So 1 is carried to the hundred thousands place and added to the hundred thousands place values and 1 is represented in ten thousands place

Hundred thousands = 2 + 1(carried over number) = 3

Sum = 301,050.

e.

Answer:

Explanation:

While adding two numbers we add the numbers according to the place values individually. We add number from ones place to the largest place value.

given number 547,982 and 114,849

first adding the ones place = 2 + 9 = 11 = 10 ones + 1 ones . 10 ones make 1 tens . So 1 is carried to the tens place and added to the tens place values and 1 is represented in ones place

ten place : 8 + 4 + 1(carried number) = 13. 10 tens make 1 hundred . So 1 is carried to the hundreds place and added to the hundreds place values and 3 is represented in tens place

hundreds place = 9 + 8 + 1(carried number)= 18. 10 hundreds make 1 thousands . So 1 is carried to the thousands place and added to the thousands place values and 8 is represented in hundreds place

thousands place = 7 + 4 +1(carried number) = 12 =10 thousand + 2 thousand. 10 thousands make 1 ten thousands . So 1 is carried to the ten thousands place and added to the ten thousands place values and 2 is represented in thousands place

ten thousands =4 + 1 + 1(carried number) = 6.

Hundred thousands = 5 + 1 = 6.

Sum = 662,831.

f.

Answer:

Explanation:

While adding two numbers we add the numbers according to the place values individually. We add number from ones place to the largest place value.

given number 258,983 and 121,897.

first adding the ones place = 3 + 7 = 10 = 10 ones + 0 ones . 10 ones make 1 tens . So 1 is carried to the tens place and added to the tens place values and 0 is represented in ones place

ten place : 8 + 9+ 1(carried number) = 18. 10 tens make 1 hundred . So 1 is carried to the hundreds place and added to the hundreds place values and 8 is represented in tens place

hundreds place = 9 + 8 + 1(carried number)= 18. 10 hundreds make 1 thousands . So 1 is carried to the thousands place and added to the thousands place values and 8 is represented in hundreds place

thousands place = 8 + 1 +1(carried number) = 10 =10 thousand + 0 thousand. 10 thousands make 1 ten thousands . So 1 is carried to the ten thousands place and added to the ten thousands place values and 0 is represented in thousands place

ten thousands =5 + 2 + 1(carried number) = 8.

Hundred thousands = 2 + 1 = 3.

Sum = 380,880.

g.

Answer:

Explanation:

While adding two numbers we add the numbers according to the place values individually. We add number from ones place to the largest place value.

given number 83,906 and 35,808

first adding the ones place = 6 + 8 = 14 = 10 ones + 4 ones . 10 ones make 1 tens . So 1 is carried to the tens place and added to the tens place values and 4 is represented in ones place

ten place : 0 + 0 + 1(carried number) = 1.

hundreds place = 9 + 8 = 17. 10 hundreds make 1 thousands . So 1 is carried to the thousands place and added to the thousands place values and 7 is represented in hundreds place

thousands place = 3 + 5 +1(carried number) = 9.

ten thousands =8 + 3 = 11. 10 ten thousands make 1 hundred thousands . So 1 is carried to the hundred thousands place and added to the hundred thousands place values and 1 is represented in ten thousands place

Hundred thousands = 1(carried number) = 1.

Sum = 119,714.

h.

Answer:

Explanation:

While adding two numbers we add the numbers according to the place values individually. We add number from ones place to the largest place value.

given number 289,999 and 91,849

first adding the ones place = 9 + 9 = 18 = 10 ones + 8 ones . 10 ones make 1 tens . So 1 is carried to the tens place and added to the tens place values and 8 is represented in ones place

ten place : 9 + 4 + 1(carried number) = 14. 10 tens make 1 hundreds . So 1 is carried to the hundreds place and added to the hundreds place values and 4 is represented in tens place

hundreds place = 9 + 8 +1(carried number)= 18 . 10 hundreds make 1 thousands . So 1 is carried to the thousands place and added to the thousands place values and 8 is represented in hundreds place

thousands place = 9 + 1 +1(carried number) = 11. 10 thousands make 1 ten thousands . So 1 is carried to the ten thousands place and added to the ten thousands place values and 1 is represented in thousands place.

ten thousands =8 + 9 +1(carried number) = 18. 10 ten thousands make 1 hundred thousands . So 1 is carried to the hundred thousands place and added to the hundred thousands place values and 8 is represented in ten thousands place

Hundred thousands = 2 +1(carried number) = 3.

Sum = 381,848

i.

Answer:

Explanation:

While adding two numbers we add the numbers according to the place values individually. We add number from ones place to the largest place value.

given number 289,999 and 91,849

first adding the ones place = 0 + 0 = 0.

ten place : 0 + 0 = 0.

hundreds place = 9+1= 10 . 10 hundreds make 1 thousands . So 1 is carried to the thousands place and added to the thousands place values and 0 is represented in hundreds place

thousands place = 4 + 5 +1(carried number) = 10. 10 thousands make 1 ten thousands . So 1 is carried to the ten thousands place and added to the ten thousands place values and 0 is represented in thousands place.

ten thousands =5 + 4 +1(carried number) = 10. 10 ten thousands make 1 hundred thousands . So 1 is carried to the hundred thousands place and added to the hundred thousands place values and 0 is represented in ten thousands place

Hundred thousands = 7 + 2 +1(carried number) = 1. 10 hundred thousands make 1 million . So 1 is carried to the millions place and added to the millions place values and 0 is represented in hundred thousands place.

Millions = 1 (carried over number) = 1.

Sum = 1,000,000.

Draw a tape diagram to represent each problem. Use numbers to solve, and write your answer as a statement.

Question 2.

At the zoo, Brooke learned that one of the rhinos weighs 4,897 pounds, one of the giraffes weighs 2,667 pounds, one of the African elephants weighs 12,456 pounds, and one of the Komodo dragons weighs 123 pounds.

Answer:

Given

One of the rhinos weights at the zoo = 4,897 pounds.

One of the giraffes weights at the zoo = 2,667 pounds

One of the African elephants weights at the zoo = 12, 456 pounds.

One of the Komodo dragons at the zoo weighs = 123 pounds.

a. What is the combined weight of the zoo’s African elephant and the giraffe?

Answer:

b. What is the combined weight of the zoo’s African elephant and the rhino?

Answer:

c. What is the combined weight of the zoo’s African elephant, the rhino, and the giraffe?

Answer:

d. What is the combined weight of the zoo’s Komodo dragon and the rhino?

Answer: