Eureka Math

Engage NY Eureka Math 4th Grade Module 1 Lesson 15 Answer Key

Eureka Math Grade 4 Module 1 Lesson 15 Problem Set Answer Key

Question 1.
Use the standard subtraction algorithm to solve the problems below.
a.
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 101,660 is the minuend, the number 91,680 is the subtrahend and the number 9,980 is the difference.
b.
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 101,660 is the minuend, the number 9,980 is the subtrahend and the number 91,680 is the difference.
c.
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 242,561 is the minuend, the number 44,702 is the subtrahend and the number 197,859 is the difference.
d.
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 242,561 is the minuend, the number 74,987 is the subtrahend and the number 167,574 is the difference.

e.
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 1,000,000 is the minuend, the number 592,000 is the subtrahend and the number 408,000 is the difference.

f.
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 1,000,000 is the minuend, the number 592,500 is the subtrahend and the number 407,500 is the difference.

g.
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 600,658 is the minuend, the number 592,569 is the subtrahend and the number 8,089 is the difference.

h.

Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 600,000 is the minuend, the number 592,569 is the subtrahend and the number 7,431 is the difference.

Use tape diagrams and the standard algorithm to solve the problems below. Check your answers.

Question 2.
David is flying from Hong Kong to Buenos Aires. The total flight distance is 11,472 miles. If the plane has 7,793 miles left to travel, how far has it already traveled?
Answer:
Total flight distance = 11,472 miles
Number of more miles Flight has to travel is = 7,793.
Number of miles the flight has traveled = ?

Question 3.
Tank A holds 678,500 gallons of water. Tank B holds 905,867 gallons of water. How much less water does Tank A hold than Tank B?
Answer:
Answer:
Total gallons of water Tank A holds = 678,500 gallons
Total gallons of water Tank B holds = 905,867 gallons

Question 4.
Mark had $25,081 in his bank account on Thursday. On Friday, he added his paycheck to the bank account, and he then had $26,010 in the account. What was the amount of Mark’s paycheck?
Answer:
Money in Mark bank account on Thursday = $25,081
After adding the paycheck to the bank account on Friday he have = $26,010
The amount on the Mark’s paycheck = ? = 26,010 – 25,081

Eureka Math Grade 4 Module 1 Lesson 15 Exit Ticket Answer Key

Draw a tape diagram to model each problem and solve.

Question 1.
956,204 – 780,169 =_______________
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 956,204 is the minuend, the number 780,169 is the subtrahend and the number 176,035 is the difference.

Question 2.
A construction company was building a stone wall on Main Street. 100,000 stones were delivered to the site. On Monday, they used 15,631 stones. How many stones remain for the rest of the week? Write your answer as a statement.
Answer:
Total stones delivered to the site = 100,000 stones
Number of stones used on Monday = 15,631 stones.
Number of stones remaining for rest of the week = 100,000 – 15,631

Eureka Math Grade 4 Module 1 Lesson 15 Homework Answer Key

Question 1.
Use the standard subtraction algorithm to solve the problems below.
a.
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 9,656 is the minuend, the number 838 is the subtrahend and the number 8,818 is the difference.

b.
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 59,656 is the minuend, the number 5,880 is the subtrahend and the number 53,776 is the difference.

c.
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 759,656 is the minuend, the number 579,989 is the subtrahend and the number 179,667 is the difference.

d.
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 294,150 is the minuend, the number 166,370 is the subtrahend and the number 127,780 is the difference.

e.
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 294,150 is the minuend, the number 239,089 is the subtrahend and the number 55,061 is the difference.

f.
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 294,150 is the minuend, the number 96,400 is the subtrahend and the number 197,750 is the difference.

g.
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 800,500 is the minuend, the number 79,989 is the subtrahend and the number 720,511 is the difference.

h.
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 800,500 is the minuend, the number 45,500 is the subtrahend and the number 755,000 is the difference.

i.

Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 800,500 is the minuend, the number 276,664 is the subtrahend and the number 523,836 is the difference.

Use tape diagrams and the standard algorithm to solve the problems below. Check your answers.

Question 2.
A fishing boat was out to sea for 6 months and traveled a total of 8,578 miles. In the first month, the boat traveled 659 miles. How many miles did the fishing boat travel during the remaining 5 months?
Answer:
Total distance traveled by a fishing boat in 6 months = 8,578 miles
The distance traveled by the fishing boat in the 1st month = 659 miles
The distance traveled by the fishing boat in 5 months = ? = 8,578 – 659

Question 3.
A national monument had 160,747 visitors during the first week of September. A total of 759,656 people visited the monument in September. How many people visited the monument in September after the first week?
Answer:
Number of visitors during the first week of September  at a national monument = 160,747
Total number of people visited the monument in September = 759,656
Number of people visited the monument in September after the first week = 759,656 – 160,747

Question 4.
Shadow Software Company earned a total of $800,000 selling programs during the year 2012. $125,300 of that amount was used to pay expenses of the company. How much profit did Shadow Software Company make in the year 2012?
Answer:
Total amount earned by the Shadow Software Company by selling the programs during the year 2012 = $800,000
The amount payed for the expenses of he company = $125,300
Profit made by the Shadow Software Company in the year 2012 = $800,000 – $125,300

Question 5.
At the local aquarium, Bubba the Seal ate 25,634 grams of fish during the week. If, on the first day of the week, he ate 6,987 grams of fish, how many grams of fish did he eat during the remainder of the week?
Answer:
At the Local aquarium
The amount of fish ate by Bubba the seal during the week = 25,634 grams
The amount of fish he ate on the first day of the week = 6,987 grams.
The amount of fish did he eat during the remaining week= 25,634 – 6,987

Engage NY Eureka Math 4th Grade Module 1 Lesson 14 Answer Key

Eureka Math Grade 4 Module 1 Lesson 14 Problem Set Answer Key

Question 1.
Use the standard algorithm to solve the following subtraction problems.
a.
Answer:

b.
Answer:

Explanation:
The rules of subtraction we first write the greater number at the top. Then subtract the digits column-wise ones from ones, tens from tens, hundreds from hundreds, thousands from thousands and so on.
Ones = 0 – 0 = 0.
Tens =  6 – 7 = 16 – 7 = 9.
6 is less than 7 so we borrow  1 from the 4 hundred  place  and make 4 hundred  as 3 hundred  and make 6  ten  as 16 ten and we subtract 7 from 16.
Hundreds = After borrowing 1 from hundred 4 becomes 3 . 3 – 4 = 13 – 4 = 9.
3 is less than 4 so we again borrow  1 from the 2 Thousands  place  and make 2 Thousands   as 1 Thousands and make 3 hundreds  as 13 hundreds and we subtract 4 from 13.
Thousands = 1 – 1 = 0
The number 2,460 is the minuend, the number 1,470 is the subtrahend and the number 990 is the difference.
c.
Answer:

Explanation:
The rules of subtraction we first write the greater number at the top. Then subtract the digits column-wise ones from ones, tens from tens, hundreds from hundreds, thousands from thousands and so on.
Ones = 4 – 0 = 4.
Tens =  8 – 0 = 8.
Hundreds = 6 – 7 = 16 – 7 = 9.
6 is less than 7 so we borrow  1 from the 7 thousands  place  and make 7 thousands  as 6 thousands  and make 6  hundreds  as 16 hundreds and we subtract 7 from 16.
Thousands =After borrowing 1 from thousands place 7 becomes 6. 6 – 9 = 16 – 9 = 7.
6 is less than 9 so we again borrow  1 from the 9 ten thousands place  and make 9 ten thousands  as 8 ten thousands and make 6  thousands as 16 thousands and we subtract 9 from 16.
Ten Thousands = 8 – 4 = 4.
The number 97,684 is the minuend, the number 49,700 is the subtrahend and the number 47,984 is the difference.
d.
Answer:

Explanation:
The rules of subtraction we first write the greater number at the top. Then subtract the digits column-wise ones from ones, tens from tens, hundreds from hundreds, thousands from thousands and so on.
Ones = 0 – 2 = 10 – 2 = 8.
0 is less than 2 so we borrow  1 from the 6 tens  place  and make 6 tens  as 5 tens  and make 0 ones  as 10 ones and we subtract 2 from 10.
Tens =After borrowing 1 from tens place 6 becomes 5.  5 – 7 = 15 – 7 = 8.
5 is less than 7 so we borrow  1 from the 4 hundred  place  and make 4 hundred  as 3 hundred  and make 5  tens  as 15 tens and we subtract 7 from 15.
Hundreds = After borrowing 1 from hundred 4 becomes 3 . 3 – 4 = 13 – 4 = 9.
3 is less than 4 so we borrow  1 from the 2 Thousands  place  and make 2 Thousands   as 1 Thousands and make 3 hundreds  as 13 hundreds and we subtract 4 from 13.
Thousands = 1 – 1 = 0
The number 2,460 is the minuend, the number 1,472 is the subtrahend and the number 988 is the difference.
e.
Answer:

Explanation:
The rules of subtraction we first write the greater number at the top. Then subtract the digits column-wise ones from ones, tens from tens, hundreds from hundreds, thousands from thousands and so on.
Since, ones place and tens place values are less then the subtrahend we borrow 1 from the hundreds place and increase the value of tens.
Tens =After borrowing 1 from hundreds place 0 ten becomes 10 ten. So, After borrowing  1 from the 3 hundred  place. 3 hundred becomes 2 hundred .
Ones = 6 – 7 = 16 – 7 = 9.
6 is less than 7 so we borrow  1 from the 10 tens  place  and make 10 tens  as 9 tens  and make 6 ones  as 16 ones and we subtract 7 from 16.
Tens : After borrowing 1 from tens place. 10 becomes 9. 9 – 1 = 8.
Hundreds = After borrowing 1 from hundred 3 becomes 2 . 2 – 1 = 1.
Thousands : 4 – 1 = 3.
Ten Thousand : 2 – 3 = 12 – 3 = 9.
2 is less than 3 so we borrow  1 from the 1 hundred Thousands  place  and make 1 hundred Thousands   as 0  hundred Thousands and make 2 thousand  as 12 thousand and we subtract 3 from 12.
Hundred thousands = 0.
The number 124,306 is the minuend, the number 31,117 is the subtrahend and the number 93,189 is the difference.
f.
Answer:

Explanation:
The rules of subtraction we first write the greater number at the top. Then subtract the digits column-wise ones from ones, tens from tens, hundreds from hundreds, thousands from thousands and so on.
Ones = 4 – 5 = 14 – 5 = 9.
4 is less than 5 so we borrow  1 from the 8 hundred  place  and make 8 hundred  as 7 hundred  and make 4  ten  as 14 ten and we subtract 5 from 14.
Tens =  7 – 0 = 7
Hundreds =6 – 7 = 16 – 7 = 9
6 is less than 7 so we borrow  1 from the 7 Thousands  place  and make 7 Thousands   as 6 Thousands and make 6 hundreds  as 16 hundreds and we subtract 7 from 16.
Thousands = 6 – 4  = 2
Ten Thousand = 9.
The number 97,684 is the minuend, the number 4,705 is the subtrahend and the number 92,979 is the difference.
g.
Answer:

Explanation:
The rules of subtraction we first write the greater number at the top. Then subtract the digits column-wise ones from ones, tens from tens, hundreds from hundreds, thousands from thousands and so on.
The minuend ones , tens , hundreds all the three places are less then the subtrahend.
First
Ones = 6 – 7 = 16 – 7 = 9.
6 is less than 7 so we borrow  1 from the 0 ten place  and make 0 tens as 9 tens  and make 6  ones  as 16 ones and we subtract 7 from 16.
Tens = After borrowing 1 from hundred 0 becomes 9. 9 -1 = 8.
Hundreds = After borrowing 1 from thousand 0 becomes 9 . 9 – 1 = 8.
Thousands = 3 – 1 =  2.
Ten thousand = 2 – 2 = 0.
Hundred thousand = 1 – 1 = 0.
The number 124,006 is the minuend, the number 121,117 is the subtrahend and the number 2,889 is the difference.

h.
Answer:

Explanation:
The rules of subtraction we first write the greater number at the top. Then subtract the digits column-wise ones from ones, tens from tens, hundreds from hundreds, thousands from thousands and so on.
Ones = 4 – 5 = 14 – 5 = 9.
4 is less than 5 so we borrow  1 from the 8 Tens place  and make 8 Tens  as 7 Tens  and make 6  ones  as 16 ones and we subtract 5 from 14.
Tens =  7 – 0 = 7.
Hundreds = 6 – 7 = 16 – 7 = 9.
6 is less than 7 so we borrow  1 from the 7 Thousands  place  and make 7 Thousands   as 6 Thousands and make 6 hundreds  as 16 hundreds and we subtract 7 from 16.
Thousands = 6 – 7 = 16 – 7 = 9.
6 is less than 7 so we borrow  1 from the 9 ten Thousands  place  and make 9  ten Thousands   as 8 ten Thousands and make 6 hundreds  as 16 hundreds and we subtract 7 from 16.
ten thousand = 8 – 4 = 4.
The number 97,684 is the minuend, the number 47,705 is the subtrahend and the number  49,979 is the difference.
i.
Answer:

Explanation:
The rules of subtraction we first write the greater number at the top. Then subtract the digits column-wise ones from ones, tens from tens, hundreds from hundreds, thousands from thousands and so on.
Ones = 0 – 7 = 10 – 7 = 3.
0 is less than 7 so we borrow  1 from the 6 Tens place  and make 6 Tens  as 5 Tens  and make 0  ones  as 10 ones and we subtract 7 from 10.
Tens =  5 – 1 = 4.
Hundreds =0 – 1 = 1 – 1 = 9.
0 is less than 1 so we borrow  1 from the 4 Thousands  place  and make 4 Thousands   as 3 Thousands and make 0 hundreds  as 10 hundreds and we subtract 1 from 10.
Thousands = 3 – 1 = 2.
Ten thousand= 2 – 3 = 12 – 3 = 9.
2 is less than 3 so we borrow  1 from the 1 hundred Thousands  place  and make 1 hundred Thousands   as 0  hundred Thousands and make 2 ten thousand as 12 ten thousand and we subtract 3 from 12.
The number 124,060 is the minuend, the number 31,117 is the subtrahend and the number 92,943 is the difference.

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

Question 2.
There are 86,400 seconds in one day. If Mr. Liegel is at work for 28,800 seconds a day, how many seconds a day is he away from work?
Answer:
Total seconds in one day = 86,400
Number of seconds Mr. Liegel at work in a day = 28,800
Number of seconds Mr. Leigel away from work = 86,400 – 28,800

Question 3.
A newspaper company delivered 240,900 newspapers before 6 a.m. on Sunday. There were a total of 525,600 newspapers to deliver. How many more newspapers needed to be delivered on Sunday?
Answer:
Number of newspapers delivered by the company on Sunday before 6 a.m = 240,900
Total number of newspapers to be delivered = 525,600.
How many more newspaper to be delivered= ?

Question 4.
A theater holds a total of 2,013 chairs. 197 chairs are in the VIP section. How many chairs are not in the VIP section?
Total number of chairs a theater holds = 2,013
Number of chairs in the VIP Section = 197
Number of chairs which are not in the VIP section = B

Question 5.
Chuck’s mom spent $19,155 on a new car. She had $30,064 in her bank account. How much money does Chuck’s mom have after buying the car?
Answer:
Money spent by Chuck’s mom on new car = $19,155
Total money she had in her bank account = $30,064
Money left with her after buying the car = 30,064 – 19,155

Eureka Math Grade 4 Module 1 Lesson 14 Exit Ticket Answer Key

Use the standard algorithm to solve the following subtraction problems.

Question 1.

Answer:

Question 2.
32,010 – 2,546
Answer:

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

Question 3.
A doughnut shop sold 1,232 doughnuts in one day. If they sold 876 doughnuts in the morning, how many doughnuts were sold during the rest of the day?
Answer:
Total doughnut sold by the doughnut shop in one day  = 1,232
Number of doughnuts sold in the morning = 876
Number of doughnuts sold during the rest of the day = A

Eureka Math Grade 4 Module 1 Lesson 14 Homework Answer Key

Question 1.
Use the standard algorithm to solve the following subtraction problems.
a.
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 71,989 is the minuend, the number 21,492 is the subtrahend and the number 50,497 is the difference.

b.
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 371,989 is the minuend, the number 96,492 is the subtrahend and the number 275,497 is the difference.
c.
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 371,089 is the minuend, the number 25,192 is the subtrahend and the number 345,897 is the difference.

d.
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 879,989 is the minuend, the number 721,492 is the subtrahend and the number 158,497 is the difference.

e.
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 879,009 is the minuend, the number 788,492 is the subtrahend and the number 90,517 is the difference.
f.
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 879,989 is the minuend, the number 21,070 is the subtrahend and the number 858,919 is the difference.
g.
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 879,000 is the minuend, the number 21,989 is the subtrahend and the number 857,011 is the difference.
h.
Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 279,389 is the minuend, the number 191,492 is the subtrahend and the number 87,897 is the difference.
i.

Answer:

Explanation:
In subtraction if the minuend place values are less than the subtrahend then 1 is borrowed from the higher place value like
ones borrow from tens
tens borrow from hundreds
hundreds borrow  from thousands
thousands borrow from ten thousands
ten thousands borrow from hundred thousands
hundred thousands borrow from million.
if there are successive place values less  than the subtrahend we borrow from the highest place value whose value is higher than the subtrahend.
The number 500,989 is the minuend, the number 242,000 is the subtrahend and the number 258,989 is the difference.

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

Question 2.
Jason ordered 239,021 pounds of flour to be used in his 25 bakeries. The company delivering the flour showed up with 451,202 pounds. How many extra pounds of flour were delivered?
Answer:
Total flour ordered by Jason to use in his 25 bakeries = 239,021 pounds
Total flour showed by the company at delivering = 451,202 pounds.
Extra pounds of flour delivered by the company =  A = 451,202 – 239,021

Question 3.
In May, the New York Public Library had 124,061 books checked out. Of those books, 31,117 were mystery books. How many of the books checked out were not mystery books?
Answer:
Number of books checked out from the New York Public Library = 124,061 books
Out of the checked out books the Number of Mystery books are =  31,117 books

Question 4.
A Class A dump truck can haul 239,000 pounds of dirt. A Class C dump truck can haul 600,200 pounds of dirt. How many more pounds can a Class C truck haul than a Class A truck?
Answer:
Number of pounds of dust A Class A dump truck can haul = 239,000 pounds
Number of pounds of dust A Class C dump truck can haul = 600,200 pounds
The number of more pounds of dust A Class C truck can haul than a Class A truck = ?

Engage NY Eureka Math 4th Grade Module 1 Lesson 12 Answer Key

Eureka Math Grade 4 Module 1 Lesson 12 Problem Set Answer Key

Estimate and then solve each problem. Model the problem with a tape diagram. Explain if your answer is reasonable.

Question 1.
For the bake sale, Connie baked 144 cookies. Esther baked 49 more cookies than Connie.
a. About how many cookies did Connie and Esther bake? Estimate by rounding each number to the nearest ten before adding.
Answer:
Number of cookies Connie baked = 144 cookies
Number of cookies  Esther baked = 49 more than Connie = 49 + 144 = 193 cookies
Total number of cookies baked by both  = 144 + 193
rounding each number to the nearest ten = 144 ~ 140  and  193 ~ 190.
Adding both 140 + 190 = 330 cookies.

b. Exactly how many cookies did Connie and Esther bake?
Answer:

They both Baked 337 cookies exactly.
c. Is your answer reasonable? Compare your estimate from (a) to your answer from (b). Write a sentence to explain your reasoning.
Answer:
In the (a) bit the estimate answer was 330 cookies  but the answer in (b)  is 337 cookies on rounding it the nearest ten it would be 340 cookies.

Queens 2.
Raffle tickets were sold for a school fundraiser to parents, teachers, and students. 563 tickets were sold to teachers. 888 more tickets were sold to students than to teachers. 904 tickets were sold to parents.
a. About how many tickets were sold to parents, teachers, and students? Round each number to the nearest hundred to find your estimate.
Answer:

b. Exactly how many tickets were sold to parents, teachers, and students?
Answer:

c. Assess the reasonableness of your answer in (b). Use your estimate from (a) to explain.
Answer:
In (b) the answer is 2,918 on rounding it ti nearest hundred we get 2,900. But in (a) the answer is 3,000 on rounding to the nearest hundred. The difference is 100 tickets .

Queens 3.
From 2010 to 2011, the population of Queens increased by 16,075. Brooklyn’s population increased by 11,870 more than the population increase of Queens.
a. Estimate the total combined population increase of Queens and Brooklyn from 2010 to 2011.
(Round the addends to estimate.)
Answer:

b. Find the actual total combined population increase of Queens and Brooklyn from 2010 to 2011.
Answer:

c. Assess the reasonableness of your answer in (b). Use your estimate from (a) to explain.
Answer:
The answer in (b) is 44,020 population but on rounding to the nearest thousand the value is 44,000 in (a). There is a difference of 20 between the both value. Both the values are relatively closed.

Question 4.
During National Recycling Month, Mr. Yardley’s class spent 4 weeks collecting empty cans to recycle.

a. During Week 2, the class collected 1,256 more cans than they did during Week 1. Find the total number of cans Mr. Yardley’s class collected in 4 weeks.
Answer:

b. Assess the reasonableness of your answer in (a) by estimating the total number of cans collected.
Answer:
On rounding the number to the nearest thousand we get 53,000 as total and the difference will be of 443 cans. both my estimation and actual are relatively close.

Engage NY Math 4th Grade Module 1 Lesson 12 Exit Ticket Answer Key

Model the problem with a tape diagram. Solve and write your answer as a statement.

In January, Scott earned $8,999. In February, he earned $2,387 more than in January. In March, Scott earned the same amount as in February. How much did Scott earn altogether during those three months? Is your answer reasonable? Explain.
Answer:
In January Scott earned = $8,999
In February Scott earned = $2,387
In March Scott earned same amount as February = $2,387
Total earnings in the three months =

Yes my answer is  reasonable. Because my actual and estimation both are relatively close.

Eureka Math 4th Grade Module 1 Lesson 12 Homework Answer Key

Estimate and then solve each problem. Model the problem with a tape diagram. Explain if your answer is reasonable.

Question 1.
There were 3,905 more hits on the school’s website in January than February. February had 9,854 hits. How many hits did the school’s website have during both months?
Answer:
In February there were 9,854 hits on school’s website
In January  there were more hits than February = 3,905 + 9,854 = 13,759
a. About how many hits did the website have during January and February?
Answer:

b. Exactly how many hits did the website have during January and February?
Answer:

c. Is your answer reasonable? Compare your estimate from (a) to your answer from (b). Write a sentence to explain your reasoning.
Answer:
The actual number of hits 23,613 is reasonable because it is relatively close to the estimation 24,000.

Question 2.
On Sunday, 77,098 fans attended a New York Jets game. The same day, 3,397 more fans attended a New York Giants game than attended the Jets game. Altogether, how many fans attended the games?
Answer:
Number of fans attended a New York Jets game = 77,098
Number of fans attended the Giants game = 3,397 more than New York Jets = 3,397 + 77,098
a. What was the actual number of fans who attended the games?
Answer:

b. Is your answer reasonable? Round each number to the nearest thousand to find an estimate of how many fans attended the games.
Answer:
Rounding each number to the nearest thousand
80,495 ~ 90,000               77,098 ~ 77,000

Yes my answer is reasonable. The real value and the estimation values are close .

Question 3.
Last year on Ted’s farm, his four cows produced the following number of liters of milk:

a. Betsy produced 986 more liters of milk than Buttercup. How many liters of milk did all 4 cows produce?
Answer:
Number of liters of milk produced by Daisy = 5,098
Number of liters of milk produced by Mary = 9,980
Number of liters of milk produced by Buttercup = 7,087
Number of liters of milk produced by Betsy = 986 more liters of milk than Buttercup =986 + 7,087

b. Is your answer reasonable? Explain.
Answer: