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.

b.

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 =Â  6 – 7 = 16 – 7 = 9.
6 is less than 7 so we borrowÂ  1 from the 4 hundredÂ  placeÂ  and make 4 hundredÂ  as 3 hundredÂ  and make 6Â  tenÂ  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 borrowÂ  1 from the 2 ThousandsÂ  placeÂ  and make 2 ThousandsÂ  Â as 1 Thousands and make 3 hundredsÂ  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.

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 =Â  8 – 0 = 8.
Hundreds = 6 – 7 = 16 – 7 = 9.
6 is less than 7 so we borrowÂ  1 from the 7 thousandsÂ  placeÂ  and make 7 thousandsÂ  as 6 thousandsÂ  and make 6Â  hundredsÂ  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 borrowÂ  1 from the 9 ten thousands placeÂ  and make 9 ten thousands Â as 8 ten thousands and make 6 Â 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.

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 borrowÂ  1 from the 6 tensÂ  placeÂ  and make 6 tensÂ  as 5 tensÂ  and make 0 onesÂ  as 10 ones and we subtract 2 from 10.
Tens =After borrowing 1 from tens place 6 becomes 5.Â  5 – 7 = 15 – 7 = 8.
5 is less than 7 so we borrowÂ  1 from the 4 hundredÂ  placeÂ  and make 4 hundredÂ  as 3 hundredÂ  and make 5Â  tensÂ  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 borrowÂ  1 from the 2 ThousandsÂ  placeÂ  and make 2 ThousandsÂ  Â as 1 Thousands and make 3 hundredsÂ  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.

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 borrowingÂ  1 from the 3 hundredÂ  place. 3 hundred becomes 2 hundred .
Ones = 6 – 7 = 16 – 7 = 9.
6 is less than 7 so we borrowÂ  1 from the 10 tensÂ  placeÂ  and make 10 tensÂ  as 9 tensÂ  and make 6 onesÂ  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 borrowÂ  1 from the 1 hundred ThousandsÂ  placeÂ  and make 1 hundred ThousandsÂ  Â as 0Â  hundred Thousands and make 2 thousandÂ  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.

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 borrowÂ  1 from the 8 hundred place and make 8 hundred as 7 hundred and make 4Â  tenÂ  as 14 ten and we subtract 5 from 14.
Tens =Â  7 – 0 = 7
Hundreds =6 – 7 = 16 – 7 = 9
6 is less than 7 so we borrowÂ  1 from the 7 Thousands place and make 7 Thousands as 6 Thousands and make 6 hundredsÂ  as 16 hundreds and we subtract 7 from 16.
Thousands = 6 – 4Â  = 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.

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 borrowÂ  1 from the 0 ten placeÂ  and make 0 tens as 9 tensÂ  and make 6Â  onesÂ  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 =Â  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.

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 borrowÂ  1 from the 8 Tens placeÂ  and make 8 Tens Â as 7Â Tens Â and make 6Â  onesÂ  as 16 ones and we subtract 5 from 14.
Tens =Â  7 – 0 = 7.
Hundreds = 6 – 7 = 16 – 7 = 9.
6 is less than 7 so we borrowÂ  1 from the 7 ThousandsÂ  placeÂ  and make 7 ThousandsÂ  Â as 6 Thousands and make 6 hundredsÂ  as 16 hundreds and we subtract 7 from 16.
Thousands = 6 – 7 = 16 – 7 = 9.
6 is less than 7 so we borrowÂ  1 from the 9 ten ThousandsÂ  placeÂ  and make 9Â  ten ThousandsÂ  Â as 8 ten Thousands and make 6 hundredsÂ  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 numberÂ  49,979 is the difference.
i.

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 borrowÂ  1 from the 6 Tens placeÂ  and make 6 Tens Â as 5 Tens Â and make 0Â  onesÂ  as 10 ones and we subtract 7 from 10.
Tens =Â  5 – 1 = 4.
Hundreds =0 – 1 = 1 – 1 = 9.
0 is less than 1 so we borrowÂ  1 from the 4 ThousandsÂ  placeÂ  and make 4 ThousandsÂ  Â as 3 Thousands and make 0 hundredsÂ  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 borrowÂ  1 from the 1 hundred ThousandsÂ  placeÂ  and make 1 hundred ThousandsÂ  Â as 0Â  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.

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?
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?
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.
Chuckâ€™s mom spent $19,155 on a new car. She had$30,064 in her bank account. How much money does Chuckâ€™s mom have after buying the car?
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.

Question 2.
32,010 – 2,546

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?
Total doughnut sold by the doughnut shop in one dayÂ  = 1,232
Number of doughnuts sold in the morning = 876
Number of doughnuts sold during the rest of the day = A

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

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 Â 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 Â 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.

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 Â 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 Â 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.

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 Â 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 Â 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.

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 Â 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 Â 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.

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 Â 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 Â 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.

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 Â 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 Â 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.

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 Â 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 Â 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.

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 Â 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 Â 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.

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 Â 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 Â 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.

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?
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 =Â  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?