Engage NY Eureka Math 4th Grade Module 1 Lesson 2 Answer Key
Eureka Math Grade 4 Module 1 Lesson 2 Problem Set Answer Key
Question 1.
As you did during the lesson, label and represent the product or quotient by drawing disks on the place value chart.
a. 10 × 2 thousands = _________ thousands = ______________________________
Answer:
b. 10 × 3 ten thousands = _________ ten thousands = ______________________________
Answer:
c. 4 thousands ÷ 10 = __________ hundreds ÷ 10 = _____________________________
Answer:
Question 2.
Solve for each expression by writing the solution in unit form and in standard form.
| Expression | Unit form | Standard Form |
| 10 × 6 tens | ||
| 7 hundreds × 10 | ||
| 3 thousands ÷ 10 | ||
| 6 ten thousands ÷ 10 | ||
| 10 × 4 thousands |
Answer:
| Expression | Unit form | Standard Form |
| 10 × 6 tens | 60 tens | 600 |
| 7 hundreds × 10 |               70 hundreds |         7000 |
| 3 thousands ÷ 10 |               3 hundreds |          300 |
| 6 ten thousands ÷ 10 |               6 thousands |         6000 |
| 10 × 4 thousands | 40 thousands or 4 ten thousands | 40,000 |
Question 3.
Solve for each expression by writing the solution in unit form and in standard form.
|
Expression |
Unit form | Standard Form |
|
(4 tens 3 ones) × 10 |
||
|
(2 hundreds 3 tens) × 10 |
||
|
(7 thousands 8 hundreds) × 10 |
||
|
(6 thousands 4 tens) ÷ 10 |
||
|
(4 ten thousands 3 tens) ÷ 10 |
Answer:
|
Expression |
Unit form | Standard Form |
|
(4 tens 3 ones) × 10 |
430 Ones | 430 |
|
(2 hundreds 3 tens) × 10 |
2 thousand 3 hundred | 2300 |
|
(7 thousands 8 hundreds) × 10 |
     7 ten thousands 8 thousand |      78000 |
|
(6 thousands 4 tens) ÷ 10 |
       6 hundreds 4 ones |      604 |
|
(4 ten thousands 3 tens) ÷ 10 |
      4 thousands 3 ones |      4003 |
Question 4.
Explain how you solved 10 × 4 thousands. Use a place value chart to support your explanation.
Answer:
10 × 4 thousands = 4 ten thousands
Explanation:
When multiplying with 10 the number moves right side on the place value chat.
10 times of 4 thousands is 40 thousand = 4 ten thousands.
Question 5.
Explain how you solved (4 ten thousands 3 tens) ÷ 10. Use a place value chart to support your explanation.
Answer:
(4 ten thousands 3 tens) ÷ 10
4 thousands 3 ones
Explanation:
when Dividing with 10 the number value moves towards the left side in the place value chart.
4 ten thousands 3 tens ÷ 10 = 4 thousands 3 ones = 4003.
Question 6.
Jacob saved 2 thousand dollar bills, 4 hundred dollar bills, and 6 ten dollar bills to buy a car. The car costs 10 times as much as he has saved. How much does the car cost?
Answer:
Total money saved by Jacob to buy a car is = 2 thousand 4 hundred 6 ten dollar
The cost of the car is 10 times as much as he saved =
2 thousand 4 hundred 6 ten dollar × 10 = 2 ten thousand 4 thousand 6 hundred
= 24,600 dollars.
The total cost of the car = $24600.
Question 7.
Last year the apple orchard experienced a drought and did not produce many apples. But this year, the apple orchard produced 45 thousand Granny Smith apples and 9 hundred Red Delicious apples, which is 10 times as many apples as last year. How many apples did the orchard produce last year?
Answer:
This year
Number of apple orchard produced are = 45 thousand Granny smith apples and 9 hundred Red Delicious apples.
This year production is 10 times as many apples as last year.
Number of apples produced Last year are = this year production ÷ 10
= 45 thousand 9 hundred ÷ 10
= 45 hundred 9 ten
= 4590 apples.
Last year production by apple orchard are 4590 apples.
Question 8.
Planet Ruba has a population of 1 million aliens. Planet Zamba has 1 hundred thousand aliens.
a. How many more aliens does Planet Ruba have than Planet Zamba?
b. Write a sentence to compare the populations for each planet using the words 10 times as many.
Answer:
Total population of aliens on Planet Ruba = 1 million =1,000,000 = 10 lakhs
Total population of aliens on Planet Zamba = 1 hundred thousand = 100,000= 1 lakh
a: difference of population of aliens does Planet Ruba have than Planet Zamba =
10,00,000 – 1,00,000 = 9,00,000 = 9 lakhs.
9 lakhs many more aliens does Planet Ruba have than Planet Zamba.
b:
Aliens population on Planet Ruba is 10 times more than planet Zamba = 100,000 × 10
Aliens population on Planet Zamba is 10 times less than Planet Ruba = 10,00,000 ÷ 10
Eureka Math Grade 4 Module 1 Lesson 2 Exit Ticket Answer Key
Question 1.
Fill in the blank to make a true number sentence. Use standard form.
a. (4 ten thousands 6 hundreds) × 10 = ________________________
b. (8 thousands 2 tens) ÷ 10 = _________________________
Answer:
a. (4 ten thousands 6 hundreds) × 10 = 4 lakhs 6 thousand = 4,06,000
b. (8 thousands 2 tens) ÷ 10 = 8 hundreds 2 ones = 802
Question 2.
The Carson family saved up $39,580 for a new home. The cost of their dream home is 10 times as much as they have saved. How much does their dream home cost?
Answer:
Total money saved by the Carson family for a new home = $39,580.
$39,580 = 3 ten thousand 9 thousand 5 hundred 8 tens
The cost of their dream home is 10 times as much as they saved = $39,580 × 10
= $3,95,800= 3 lakh 9 ten thousand 5 thousand 8 hundred.
The cost of their dream home is $3,95,800= 3 lakh 9 ten thousand 5 thousand 8 hundred.
Eureka Math Grade 4 Module 1 Lesson 2 Homework Answer Key
Question 1.
As you did during the lesson, label and represent the product or quotient by drawing disks on the place value chart.
a. 10 × 4 thousands = _________ thousands = ______________________________
Answer:
b. 4 thousands ÷ 10 = __________ hundreds ÷ 10 = _____________________________
Answer:
Question 2.
Solve for each expression by writing the solution in unit form and in standard form.
|
Expression |
Unit Form |
Standard Form |
|
10 × 3 tens |
||
|
5 hundreds × 10 |
||
|
9 ten thousands ÷ 10 |
||
|
10 × 7 thousands |
Answer:
|
Expression |
Unit Form |
Standard Form |
|
10 × 3 tens |
30 tens | 300 |
|
5 hundreds × 10 |
    50 hundreds or 5 thousands |        5,000 |
|
9 ten thousands ÷ 10 |
          9 thousands |        9,000 |
|
10 × 7 thousands |
   70 thousands or 7 ten thousands |       70,000 |
Question 3.
Solve for each expression by writing the solution in unit form and in standard form.
|
Expression |
Unit Form |
Standard Form |
|
(2 tens 1 one) × 10 |
||
|
(5 hundreds 5 tens) × 10 |
||
|
(2 thousands 7 tens) ÷ 10 |
||
|
(4 ten thousands 8 hundreds) ÷ 10 |
Answer:
|
Expression |
Unit Form |
Standard Form |
|
(2 tens 1 one) × 10 |
2 hundreds 1 tens | 201 |
|
(5 hundreds 5 tens) × 10 |
5 thousands 5 hundreds | 5,500 |
|
(2 thousands 7 tens) ÷ 10 |
      2 hundreds 7 ones |        207 |
|
(4 ten thousands 8 hundreds) ÷ 10 |
     4 thousands 8 tens |        4,080 |
Question 4.
a. Emily collected $950 selling Girl Scout cookies all day Saturday. Emily’s troop collected 10 times as much as she did. How much money did Emily’s troop raise?
b. On Saturday, Emily made 10 times as much as on Monday. How much money did Emily collect on Monday?
Answer:
a:
Total money collected by Emily by selling Scout cookies =$950.
But
Emily’s troop collects 10 times as much as Emily did = 10 × $950
Total money raised by Emily’s troop = 10 × $950 = $9,500. = 9 thousand 5 hundred dollars.
b.
Money collected by Emily on Saturday = $950
On Saturday, Emily made 10 times as much as on Monday
On Monday the money collected by Emily =$950 ÷ 10
= 9 hundred 5 tens ÷ 10
= 9 tens 5 ones
=$95.
Money collected by Emily on Monday is $95.