Engage NY Eureka Math Grade 5 Module 2 Lesson 1 Answer Key
Eureka Mathematics Grade 5 Module 2 Lesson 1 Problem Game Answer Key
Question 1.
Fill in the blanks using your knowledge of place value units and basic facts.
a. 23 × 20
Think: 23 ones × 2 tens = _____46_____ tens
23 × 20 = ____460______
Respondedor:
23 x 20 = 460.
Explanation:
In the previous question,
Given the,
23 ones x 2 tens = 46 tens.
23 x 20 = 460.
b. 230 × 20
Think: 23 tens × 2 tens = ____46 tens______
230 × 20 = ____4600______
Respondedor:
230x20 = 4600.
Explanation:
In the previous question,
Given the,
23 tens x 2 tens = 46 tens.
230x20 = 4600.
C. 41 × 4
41 units × 4 units = 164 ___units_______
41 × 4 = ____164______
Respondedor:
41 x 4 = 164.
Explanation:
In the previous question,
Given the,
41 units x 4 units = 164 units.
41 x 4 = 164.
d. 410 × 400
41 tens × 4 hundreds = 164 ___tens_______
410 × 400 = _____161000_____
Respondedor:
410x400 = 16100.
Explanation:
In the previous question,
Given the,
41 tens x 4 hundreds = 164 tens.
410x400 = 16100.
mi. 3.310 × 300
___3310___ tens × ___3___ hundreds = 993 ________
3.310 × 300 = __993________
Respondedor:
3310x300 = 993.
Explanation:
In the previous question,
Given the,
3310 tens x 3 tens = 993 tens.
3310x300 = 993.
F. 500 × 600
___5___ hundreds × __6___ hundreds = 30 _____
500 × 600 = ____3000______
Respondedor:
500 x 6000 = 3000.
Explanation:
In the previous question,
Given the,
5 hundreds x 6 hundreds = 30 hundreds.
500x600 = 3000.
Question 2.
Determine if these equations are true or false. Defend your answer using your knowledge of place value and the commutative, associative, and/or distributive properties.
El. 6 tens = 2 tens × 3 tens
b. 44 × 20 × 10 = 440 × 2
w. 86 ones × 90 hundreds = 86 ones × 900 tens
d. 64 × 8 × 100 = 640 × 8 × 10
mi. 57 × 2 × 10 × 10 × 10 = 570 × 2 × 10
Respondedor:
The real.
b. FALSE.
w. TRUE.
d. TRUE.
It's false.
Explanation:
In the previous question,
Given the,
El. 6 tens = 2 tens × 3 tens
6 you have = 6 you have.
b. 44 × 20 × 10 = 440 × 2
44x10 = 440x20 = 880.
w. 86 ones × 90 hundreds = 86 ones × 900 tens
86x900 = 86x900.
d. 64 × 8 × 100 = 640 × 8 × 10
64x10 = 640x8 .
640x8x10.
mi. 57 × 2 × 10 × 10 × 10 = 570 × 2 × 10
57x20x10x10 = 570x20.
570x20x10 = 640.
Question 3.
Find the products. Show your thinking. The first line gives some ideas to show your thinking.
Respondedor:
450x300 = 135000.
Explanation:
In the previous question,
Given the,
45 x 3 = 45 x 30. = 12 x 10 = 120.
450 x 30 = (45 x 10) (3 x 10) = 45 x 3 x 10 x 10 = 450 x 30 = 13500.
Respondedor:
400 x 5000 = 20.000.
Explanation:
In the previous question,
Given the,
40x5 = 40x50. = 40x500 = 2000.
400 x 5000 = (4 x 10) (5 x 100) = 20 x 10 x 100 = 200 x 100 = 20.000.
Question 4.
Ripley told her mother that multiplying whole numbers by multiples of 10 was easy because all she had to do was count zeros in the factors and put them in the product. She used these two examples to explain her strategy.
Ripley's mother said her strategy won't always work. Why not? Set an example.
Respondedor:
80x100 = 8000.
Explanation:
In the previous question,
Given the,
80x100 = 8000.
8x1000 = 8000.
Question 5.
The Canadian side of Niagara Falls has a flow rate of 600,000 gallons per second. How many gallons of water flow over the falls in 1 minute?
Respondedor:
Gallons of water flow over the falls in 1 minute = 3,60,00,000.
Explanation:
In the previous question,
Given the,
The Canadian side of Niagara Falls has a flow rate of 600,000 gallons per second.
1 minute = 60 seconds.
600.000x60.
3,60,00,000.
Question 6.
Tickets for a baseball game are $20 for adults and $15 for students. A school buys tickets for 45 adults and 600 students. How much money will the school spend on tickets?
Respondedor:
The money the school spends on tickets = $9,900.
Explanation:
In the previous question,
Given the,
Tickets for a baseball game are $20 for adults and $15 for students.
A school buys tickets for 45 adults and 600 students.
45 x $ 20 + 600 x $ 15.
900 + 9000.
9900.
Eureka Mathematics Grade 5 Module 2 Lesson 1 Exit Ticket Answer Key
Question 1.
Find the products.
a. 1.900 × 20
Respondedor:
1900x20 = 38.000.
Explanation:
In the previous question,
Given the,
1900x20.
38000.
b. 6.000 × 50
Respondedor:
6000x50 = 30000.
Explanation:
In the previous question,
Given the,
6000x50
30000.
C. 250 × 300
Respondedor:
250x300 = 75000.
Explanation:
In the previous question,
Given the,
250x300.
75000.
Question 2.
Explain how knowing 50 × 4 = 200 helps you find 500 × 400.
Respondedor:
50 x 4 = 200.
Explanation:
In the previous question,
Given the,
50x4.
200.
Eureka Mathematics Grade 5 Module 2 Lesson 1 Homework Answers Homework
Question 1.
Fill in the blanks using your knowledge of place value units and basic facts.
a. 43 × 30
Think: 43 ones × 3 tens = _____129_____ tens
43 × 30 = ___1290_______
Respondedor:
43 x 30 = 1290.
Explanation:
In the previous question,
Given the,
43 ones x 3 tens = 129 tens.
43 x 30 = 1290.
b. 430 × 30
Think: 43 tens × 3 tens = ____129______ hundreds
430 × 30 = ____1290______
Respondedor:
430x30 = 1290.
Explanation:
In the previous question,
Given the,
43 tens x 3 tens = 129 hundreds.
430x30 = 1290.
C. 830 × 20
Think: 83 tens × 2 tens = 166 ____tens______
830 × 20 = ____16600______
Respondedor:
830x20 = 16600.
Explanation:
In the previous question,
Given the,
83 tens x 2 tens = 166 tens.
830x20 = 1660.
d. 4.400 × 400
____440____ hundreds × _____40_____ hundreds = 176 ____ hundreds______
4.400 × 400 = _____176000_____
Respondedor:
4400x400 = 176000.
Explanation:
In the previous question,
Given the,
440 hundreds x 40 hundreds = 176 hundreds.
4400x400 = 176000.
mi. 80 × 5.000
____8______ tens × ____5______ thousand = 40 _____ thousand_____
80 × 5.000 = ____40000______
Respondedor:
80x5000 = 40000.
Explanation:
In the previous question,
Given the,
8 tens x 5 thousand = 40 thousand.
80x5000 = 40000.
Question 2.
Determine if these equations are true or false. Defend your answer using your knowledge of place value and the commutative, associative, and/or distributive properties.
El. 35 hundreds = 5 tens × 7 tens
Respondedor:
35 hundreds = 5 tens x 7 tens.
Explanation:
In the previous question,
Given the,
5 tens x 7 tens = 35 hundreds.
5 x 7 = 35.
b. 770 × 6 = 77 × 6 × 100
Respondedor:
770 x 6 = 77 x 6 x 100.
Explanation:
In the previous question,
Given the,
770 x 6 = 77 x 100 x 6.
4620 = 46200.
w. 50 tens × 4 hundreds = 40 tens × 5 hundreds
Respondedor:
50 tens x 4 hundreds = 40 tens x 5 hundreds.
Explanation:
In the previous question,
Given the,
50 tens x 4 hundreds = 40 tens x 5 hundreds.
200 = 200.
d. 24 × 10 × 90 = 90 × 2.400
Respondedor:
24x10x90 = 90x2400.
Explanation:
In the previous question,
Given the,
24x10x90 = 90x2400.
240x90 = 21600.
90x2400 = 216000.
Question 3.
Find the products. Show your thinking. The first line gives some ideas to show your thinking.
Respondedor:
b. 80x5 = 80x50 = 40x10 = 400.
800 x 500 = (8 x 100) x (5 x 100) = (8 x 5) x 1000 = 40000.
8000 x 50 = (8 x 5) x (100 x 1000) = 400000.
Explanation:
In the previous question,
Given the,
80x5 = 80x50 = 40x10 = 400.
800 x 500 = (8 x 100) x (5 x 100) = (8 x 5) x 1000 = 40000.
8000 x 50 = (8 x 5) x (100 x 1000) = 400000.
Respondedor:
d. 673 x 3 = 6730 x 30 = 2019 x 100 = 20190.
6730 x 300 = (673 x 100) x (3 x 100) = (673 x 3) x 1000 = 201900.
63700 x 3000 = (6730 x 1000) x (637 x 10000) = 2019000.
Explanation:
In the previous question,
Given the,
673 x 3 = 6730 x 30 = 2019 x 100 = 20190.
6730 x 300 = (673 x 100) x (3 x 100) = (673 x 3) x 1000 = 201900.
63700 x 3000 = (6730 x 1000) x (637 x 10000) = 2019000.
Question 4.
A concrete diving board is 20 square inches. What is the area of 30 of these stones?
Respondedor:
The area of 30 of these stones = 600 square inches.
Explanation:
In the previous question,
Given the,
A concrete diving board is 20 square inches.
20 x 30 = 600.
Question 5.
A number is 42,300 when multiplied by 10. Find the product of that number times 500.
Respondedor:
4230x10 = 42300.
Explanation:
In the previous question,
Given the,
A number is 42,300 when multiplied by 10.
500 = 50x10.
50 x 10 = 500.