## 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.

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.

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.

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.

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.

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.

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.

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.

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?
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?
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?
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 =_______________

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.
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.

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.

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.

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.

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.

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.

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.

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.

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.

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?
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?
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?
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