Engage NY Eureka Math 4th Grade Module 3 Lesson 4 Answer Key
Eureka Math Grade 4 Module 3 Lesson 4 Problem Set Answer Key
Draw place value disks and arrows as shown to represent each product.
Question 1.
5 × 100 = ___500___
5 × 10 × 10 = ___500___
5 ones × 100 = ___500____
Answer:
5 x 100 = 500,
5 X 10 X 10 = 500,
5 ones × 100 = 500,
Explanation:
Drawn and placed value disks and arrow as shown above to represent the products as 5 x 100 = 500, 5 X 10 X 10 = 500
and 5 ones X 100 = 500.
Question 2.
5 × 1,000 = ____5,000______
5 × 10 × 10 × 10 = __5,000_____
5 ones × 1,000 = ____ _5,000____
Answer:
5 X 1,000 = 5,000,
5 X 10 X 10 X 10 = 5,000,
5 ones × 1,000 = 5,000,
Explanation:
Drawn and placed value disks and arrow as shown above to represent the product as 5 x 1,000 = 5,000,
5 X 10 X 10 X 10 = 5,000 and 5 ones X 1,000 = 5,000.
Question 3.
Fill in the blanks in the following equations.
a. 6 × 10 = ____60____
Answer:
6 x 10 = 60,
Explanation:
Given 6 X 10 multiplying 6 with 10 we get 60,
so 6 X 10 = 60.
b. __100____ × 6 = 600
Answer:
100 X 6 = 600,
Explanation:
Given ____ × 6 = 600, so we get unknown factor as
600 ÷ 6 = 100, so 100 X 6 = 600.
c. 6,000 = ______ × 1,000
Answer:
6,000 = 6 X 1,000,
Explanation:
Given 6,000 = ______ × 1,000, so we get unknown factor as
6,000 ÷ 1,000 = 6, so 6,000 = 6 X 1,000.
d. 10 × 4 = ______
Answer:
10 X 4 = 40,
Explanation:
Given 10 X 4 = ____,multiplying 10 with 4 we get 40,
so 10 X 4 = 40.
e. 4 × ______ = 400
Answer:
4 X 100 = 400,
Explanation:
Given 4 x ____ = 400, so we get unknown factor as
400 ÷ 4 = 100, so 4 X 100 = 400.
f. ______ × 4 = 4,000
Answer:
1,000 X 4 = 4,000,
Explanation:
Given ______ × 1,000 = 4,000 so we get unknown factor as
4,000 ÷ 4 = 1,000, so 1,000 X 4 = 4,000.
g. 1,000 × 9 = ______
Answer:
1,000 X 9 = 9,000,
Explanation:
Given 1,000 X 9 =___ ,multiplying 1,000 with 9 we get 9,000,
so 1,000 X 9 = 9,000.
h. ______ = 10 × 9
Answer:
90 = 10 X 9,
Explanation:
Given _____ = 10 X 9 multiplying 10 with 9 we get 90,
so 90 = 10 X 9.
i. 900 = ______ × 100
Answer:
900 = 9 X 100,
Explanation:
Given 900 = ______ × 100 so we get unknown factor as
900 ÷ 100 = 9, so 900 = 9 X 100.
Draw place value disks and arrows to represent each product.
Question 4.
12 × 10 = ____120______
(1 ten 2 ones) × 10 = ______120_________
Answer:
12 x 10 = 120,
(1 ten 2 ones) × 10 = 120,
Explanation:
Drawn and placed value disks and arrow as shown above to represent the products as 12 x 10 = 120 and (1 ten 2 ones) = 120.
Question 5.
18 × 100 = ___18,00_______
18 × 10 × 10 = __18,00________
(1 ten 8 ones) × 100 = ____18,00________
Answer:
18 × 100 =18,00,
18 × 10 × 10 = 18,00,
(1 ten 8 ones) × 100 = 18,00,
Explanation:
Drawn and placed value disks and arrow as shown above to represent the products as 18 x 100 = 18,00 ,
18 X 10 X 10 = 18,00 and (1 ten 8 ones) × 100 = 18,00.
Question 6.
25 × 1,000 = ____25,000______
25 × 10 × 10 × 10 = ____25,000______
(2 tens 5 ones) × 1,000 = ______25,000__________
Answer:
25 × 1,000 = 25,000,
25 × 10 × 10 × 10 = 25,000,
(2 tens 5 ones) × 1,000 = 25,000,
Explanation:
Drawn and placed value disks and arrow as shown above to represent the products as 25 × 1,000 = 25,000,
25 × 10 × 10 × 10 = 25,000 and (2 tens 5 ones) × 1,000 = 25,000.
Decompose each multiple of 10, 100, or 1,000 before multiplying.
Question 7.
3 × 40 = 3 × 4 × __10___
= 12 × __10____
= ___120_______
Answer:
3 X 40 = 3 X 4 X 10
= 12 X 10
= 120,
Explanation:
Given 3 X 40 decomposing into 10 before multiplying
first we write 40 as 4 X 10,
then we multiply with 3, as 3 X 4 X 10,
Now we multiply 3 and 4 then 10
we get 12 X 10 = 120,
So 3 X 40 = 120.
Question 8.
3 × 200 = 3 × ___2__ × __100____
= ___6___ × ___100___
= ____600____
Answer:
3 X 200 = 3 X 2 X 100
= 6 X 100
= 600,
Explanation:
Given 3 X 200 decomposing into 100 before multiplying
first we write 200 as 2 X 100,
then we multiply with 3 as 3 X 2 X 100,
Now we multiply 3 and 2 then 100
we get 6 X 100 = 6,00,
So 3 X 200 = 600.
Question 9.
4 × 4,000 = __4___ × __4___× __1,000_______
= ___16___ × __1,000_______
= ____16,000_____
Answer:
4 × 4,000 = 4 X 4 X 1,000,
=16 X 1,000
= 16,000,
Explanation:
Given 4 X 4,000 decomposing into 1,000 before multiplying
first we write 4,000 as 4 X 1,000,
then we multiply with 4 as 4 X 4 X 1,000,
Now we multiply 4 and 4 then 1,000
we get 16 X 1,000 = 16,000,
So 4 X 4,000 = 16,000.
Question 10.
5 × 4,000 = __5___ × __4___ × ___1,000______
= ___20___ × __1,000______
= __20,000______
Answer:
5 X 4,000 = 5 X 4 X 1,000,
= 20 X 1,000,
= 20,000,
Explanation:
Given 5 X 4,000 decomposing into 1,000 before multiplying
first we write 4,000 as 4 X 1,000,
then we multiply with 5 as 5 X 4 X 1,000,
Now we multiply 5 and 4 then 1,000
we get 20 X 1,000 = 20,000,
So 5 X 4,000 = 20,000.
Eureka Math Grade 4 Module 3 Lesson 4 Exit Ticket Answer Key
Fill in the blanks in the following equations.
a. 5 × 10 = ___50_____
Answer:
5 X 10 = 50,
Explanation:
Given 5 X 10 multiplying 5 with 10 we get 50,
so 5 X 10 = 50.
b. ______ × 5 = 500
Answer:
100 X 5 = 500,
Explanation:
Given ____ X 5 = 500 so we get unknown factor as
500 ÷ 5 = 100, so 100 X 5 = 500.
c. 5,000 = ______ × 1000
Answer:
5,000 = 5 x 1,000,
Explanation:
Given 5,000 = _______ X 1,000, now we get unknown factor as
5,000 ÷ 1,000 = 5, so 5,000 = 5 X 1,000.
d. 10 × 2 = ______
Answer:
10 X 2 = 20,
Explanation:
Given 10 X 2 multiplying 10 with 2 we get 20,
so 10 X 2 = 20.
e. ______ × 20 = 2,000
Answer:
100 X 20 = 2,000,
Explanation:
Given_______ X 20 = 2,000, now we get unknown factor as
2,000 ÷ 20 = 100, so 100 X 20 = 2,000.
f. 2,000 = 10 × ______
Answer:
2,000 = 10 X 200,
Explanation:
Given 2,000 = 10 X _________, now we get unknown factor as
2,000 ÷ 10 = 200, so 2,000 = 10 X 200.
g. 100 × 18 = ______
Answer:
100 X 18 = 1,800,
Explanation:
Given 100 X 18 multiplying 100 with 18 we get 1,800
so 100 X 18 = 1,800.
h. ______ = 10 × 32
Answer:
320 = 10 X 32,
Explanation:
Given_______ = 10 X 32, multiplying 10 with 32 we get 320,
so 320 = 10 X 32.
i. 4,800 = ______ × 100
Answer:
4,800 = 48 X 100,
Explanation:
Given 4,800 = _______ X 100, now we get unknown factor as
4,800 ÷ 100 = 48, so 4,800 = 48 X 100.
j. 60 × 4 = ______
Answer:
60 × 4 = 240,
Explanation:
Given 60 X 4, multiplying 60 with 4 we get 240,
so 60 X 4 = 240.
k. 5 × 600 = ______
Answer:
5 X 600 = 3,000,
Explanation:
Given 5 X 600 = _________,multiplying 5 with 600 we get 3,000,
so 5 X 600 = 3,000.
l. 8,000 × 5 = ______,
Answer:
8,000 X 5 = 40,000,
Explanation:
Given 8,000 X 5 = _______, multiplying 8,000 with 5 we get 40,000,
so 8,000 X 5 = 40,000.
Eureka Math Grade 4 Module 3 Lesson 4 Homework Answer Key
Question 1.
7 × 100 = ___700_______
7 × 10 × 10 = __700________
7 ones × 100 = ____700_______
Answer:
7 X 100 = 700,
7 × 10 × 10 = 700,
7 ones × 100 = 700,
Explanation:
Drawn and placed value disks and arrow as shown above to represent the products as 7 x 100 = 700, 7 X 10 X 10 = 700
and 7 ones X 100 = 700.
Question 2.
7 × 1,000 = ____7,000______
7 × 10 × 10 × 10 = __7,000________
7 ones × 1,000 = ____7,000_____________
Answer:
7 × 1,000 = 7,000,
7 × 10 × 10 × 10 = 7,000,
7 ones × 1,000 = 7,000,
Explanation:
Drawn and placed value disks and arrow as shown above to represent the products as 7 x 1,000 = 7,000, 7 X 10 X 10 X 10 = 7,000
and 7 ones X 1,000 = 7,000.
Question 3.
Fill in the blanks in the following equations.
a. 8 × 10 = ________
Answer:
8 X 10 = 80,
Explanation:
Given 8 X 10 = ________, multiplying 8 with 10 we get 80,
so 8 X 10 = 80.
b. ______ × 8 = 800
Answer:
100 X 8 = 800,
Explanation:
Given ______ X 8 = 800, now we get unknown factor as
800 ÷ 8 = 100, so 100 X 8 = 800.
c. 8,000 = ______ × 1,000
Answer:
8,000 = 8 X 1,000,
Explanation:
Given 8,000 = 8 X 1,000, now we get unknown factor as
8,000 ÷ 1,000 = 8, so 8,000 = 8 X 1,000.
d. 10 × 3 = ______
Answer:
10 X 3 = 30,
Explanation:
Given 10 X 3 = ________, multiplying 10 with 3 we get 30,
so 10 X 3 = 30.
e. 3 × ______ = 3,000
Answer:
3 X 1,000 = 3,000,
Explanation:
Given 3 X ______ = 3,000, now we get unknown factor as
3,000 ÷ 3 = 1,000, so 3 X 1,000 = 3,000.
f. ______ × 3 = 300
Answer:
100 X 3= 300,
Explanation:
Given ______ X 3 = 300, now we get unknown factor as
300 ÷ 3 = 100, so 100 X 3 = 300.
g. 1,000 × 4 = ______
Answer:
1,000 X 4 = 4,000,
Explanation:
Given 1,000 X 4 = ________, multiplying 1,000 with 4 we get 4,000,
so 1,000 X 4 = 4,000.
h. ______ = 10 × 4
Answer:
40 = 10 X 4,
Explanation:
Given ______ = 10 X 4, multiplying 10 with 4 we get 40,
so 40 = 10 X 4.
i. 400 = ______ × 100
Answer:
400 = 4 X 100,
Explanation:
Given 400 = 4 X 100, now we get unknown factor as
400 ÷ 100 = 4, so 400 = 4 X 100.
Draw place value disks and arrows to represent each product.
Question 4.
15 × 10 = ___150_______
(1 ten 5 ones) × 10 = _____150________
Answer:
15 X 10 = 150,
(1 ten 5 ones) × 10 = 150,
Explanation:
Drawn and placed value disks and arrow as shown above to represent the products as 15 x 10 = 150 and (1 ten 5 ones) = 150.
Question 5.
17 × 100 = ___1,700_______
17 × 10 × 10 = ___1,700_______
(1 ten 7 ones) × 100 = _______1,700___________
Answer:
17 × 100 = 1,700,
17 × 10 × 10 = 17,00,
(1 ten 7 ones) × 100 = 17,00,
Explanation:
Drawn and placed value disks and arrow as shown above to represent the products as 17 x 100 = 17,00 ,
17 X 10 X 10 = 17,00 and (1 ten 7 ones) × 100 = 17,00.
Question 6.
36 × 1,000 = __________
36 × 10 × 10 × 10 = __________
(3 tens 6 ones) × 1,000 = ____________
Answer:
36 × 1,000 = 36,000,
36 × 10 × 10 × 10 = 36,000,
(3 tens 6 ones) × 1,000 = 36,000,
Explanation:
Drawn and placed value disks and arrow as shown above to represent the products as 36 × 1,000 = 36,000,
36 × 10 × 10 × 10 = 36,000 and (3 tens 6 ones) × 1,000 = 36,000.
Decompose each multiple of 10, 100, or 1000 before multiplying.
Question 7.
2 × 80 = 2 × 8 × __16___
= 16 × _10_____
= ___160_______
Answer:
2 X 80 = 2 X 8 X 10,
= 16 X 10,
= 160,
Explanation:
Given 2 X 80 decomposing into 10 before multiplying
first we write 80 as 8 X 10,
then we multiply with 2, as 2 X 8 X 10,
Now we multiply 2 and 8 then 10
we get 16 X 10 = 160,
So 2 X 80 = 160.
Question 8.
2 × 400 = 2 × _4___ × __100____
= ___8___ × __100____
= ___800_____
Answer:
2 X 400 = 2 X 4 X 100
= 8 X 100
= 800,
Explanation:
Given 3 X 200 decomposing into 100 before multiplying
first we write 200 as 2 X 100,
then we multiply with 3 as 3 X 2 X 100,
Now we multiply 3 and 2 then 100
we get 6 X 100 = 6,00,
So 3 X 200 = 600.
Question 9.
5 × 5,000 = _____ × _____ × _________
= ______ × _________
= _________
Answer:
5 × 5,000 = 5 X 5 X 1,000,
=25 X 1,000
= 25,000,
Explanation:
Given 5 X 5,000 decomposing into 1,000 before multiplying
first we write 5,000 as 5 X 1,000,
then we multiply with 5 as 5 X 5 X 1,000,
Now we multiply 5 and 5 then 1,000
we get 25 X 1,000 = 25,000,
So 5 X 5,000 = 25,000.
Question 10.
7 × 6,000 = _____ × _____ × _________
= ________ × ________
= ________
Answer:
7 X 6,000 = 7 X 6 X 1,000,
= 42 X 1,000,
= 42,000,
Explanation:
Given 7 X 6,000 decomposing into 1,000 before multiplying
first we write 6,000 as 6 X 1,000,
then we multiply with 7 as 7 X 6 X 1,000,
Now we multiply 7 and 6 then 1,000
we get 42 X 1,000 = 42,000,
So 7 X 6,000 = 42,000.
Eureka Math Grade 4 Module 3 Lesson 4 Template Answer Key
______1,000___________
thousands place value chart
Answer:
Explanation:
A place value chart is diagram that helps us to find and compare the place value of the digits in numbers through millions.
The place value of a digit in the place value chart increases by ten times as we shift to the left and decreases by ten times as we shift to the right.
For example for one thousand place value chart where we write 1,000 as 1 in thousands place, 0 in hundreds place, 0 in tens place and 0 in ones place as shown above.
