Eureka Math Lesson 16 Homework 5.2 Answer Key

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Eureka Math, which is also popular as EngageNY, refers to the curriculum that has been known and used by many. This one is created with the aim to build math understanding from kindergarten to 12th grade. Talking about the Eureka Math, the topic about the answer key has been really popular among the users of the community. Most people need the answer key when they want to check how many answers that they get right.

If you have done Eureka Math Lesson 16 Homework 5.2 and you want to check the result, below is the answer key for you to check out. If the result that you get is not what you wanted, please do not feel discouraged and keep learning.

  1. Divide. Draw place value disks to show your thinking for (a) and (c). You may draw disks on your personal white board to solve the others if necessary.

a. 300 : 10
Answer:
300 : 10 = 30
100                 10
100 -à :10  10
10                   10
10 + 10 + 10 = 30

b. 450 : 10
Answer:
450 : 10 = 45

c. 18,000 : 100
Answer:
18,000 : 100 = 180
10,000                           100
1,000                             10
1,000                             10
1,000                             10
1,000 –à : 100 =     10
1,000                             10
1,000                             10
1,000                             10
1,000                             10
100 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 = 180

d. 730,000 : 100
Answer:
730,000 : 100 = 7300

e. 900,000 : 1,000
Answer:
900,000 : 1,000 = 900

f. 680,000 : 1,000
Answer:
68,000 : 1,000 = 680

  1. Divide. The first one is done for you.

a. 18,000 : 20
Answer:
18,000 : 20 = 18,000 : 10 : 2 = 1,800 + 2 = 900

b. 18,000 : 200
Answer:
18,000 : 200 = 18,000 : 100 : 2 = 180 : 2 = 90

c. 18,000 : 2,000
Answer:
18,000 : 2,000 = 18,000 : 1,000 : 2 = 18 : 2 = 9

d. 420,000 : 60
Answer:
420,000 : 60 = 420,000 : 2 : 6 = 42,000 : 6 = 7,000

e. 420,000 : 600
Answer:
420,000 : 600 = 420,000 : 100 : 6 = 4,200 : 6 = 700

f. 420,000 : 6,000
Answer:
420,000 : 6,000 = 420,000 : 11,000 : 6 = 420 : 6 = 70

g. 24,000 : 30
Answer:
24,000 : 30 = 24,000 : 10 : 3 = 2,400 : 3 = 800

h. 560,000 : 700
Answer:
560,000 : 700 = 560,000 : 100 : 7 = 5,600 : 7 = 800

i. 450,000 : 9,000
Answer:
450,000 : 9,000 = 450,000 : 1,000 : 9 = 450 : 9 = 50

  1. A stadium holds 50,000 people. The stadium is divided into 250 different setting sections. How many seats are in each section?

Answer:
50,000 : 250 = 50,000 : 10 : 25 = 5,000 : 25 = 200
There are a total of 200 seats in each section.

  1. Over the course of a year, a tractor trailer commutes 160,000 miles across America.

a. Assuming a trucker changes his tires every 40,000 miles, and that he starts with a brand new set of tires, how many sets of tires will he use in a year?
Answer:
160,000/40,000 = 16,000 : 10,000 : 4 = 16 : 4 = 4
He will use 4 sets of tires in a year.

b. If the trucker changes the oil every 10,000 miles, and he starts the year with a fresh oil change, how many times will he change the oil in a year?
Answer:
160,000/10,000 = 16
He will change the oil 16 times in a year.

Aside from the Eureka Math Lesson 16 Homework 5.2, you might also have done the next lesson homework, which is Eureka Math Lesson 17 Homework 5.2. While you are here, you might also want to check out the answer key of that below:

  1. Estimate the quotient for the following problems. The first one is done for you.

a. 821 : 41
Answer:
821 : 41 = 800 : 40 = 20

b. 617 : 23
Answer:
617 : 23 = 600 : 20 = 30

c. 821 : 39
Answer:
821 : 39 = 800 : 40 = 20

d. 482 : 52
Answer:
482 : 52 = 500 : 50 = 10

e. 531 : 48
Answer:
531 : 48 = 500 : 50 = 10

f. 141 : 73
Answer:
141 : 73 = 100 : 100 = 1

g. 476 : 81
Answer:
476 : 81 = 500 : 100 = 5

h. 645 : 69
Answer:
645 : 69 = 700 : 70 = 10

i. 599 : 99
Answer:
599 : 99 = 600 : 100 = 6

j. 301 : 26
Answer:
301 : 26 = 300 : 30 = 10

k. 729 : 81
Answer:
729 : 81 = 700 : 100 = 7

l. 636 : 25
Answer:
626 : 25 = 600 : 60 = 10

m. 835 : 89
Answer:
835 : 89 = 900 : 90 = 10

n. 345 : 72
Answer:
345 : 72 = 350 : 100 = 3.5

o. 559 : 11
Answer:
559 + 11 = 600 : 10 = 60

  1. Mrs. Johnson spent $611 buying lunch for 78 students. If all of the lunches were the same cost, about how much did she spend on each lunch?

Answer:
611 : 78
≈ 600 : 100
= 6
Mrs. Johnson spent about $6 on each lunch.

  1. An oil well produces 172 gallons of oil every day. A standard oil barrel holds 42 gallons of oil. About how many barrels of oil will the well produce in one day? Explain your thinking.

Answer:
172 : 42
≈ 200 : 50
= 4
The well will produce about 4 barrels in one day.

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