Engage NY Eureka Math 2nd Grade Module 7 Lesson 16 Answer Key

A. Adding and Subtracting by 3

Question 1.
0 + 3 =
0 + 3 = 3
Explanation:
Adding any number to zero gives the sum the number itself.
0 + 3 = 3.

Question 2.
3 + 3 =
3 + 3 = 6

Question 3.
6 + 3 =
6 + 3 = 9

Question 4.
9 + 3 =
9 + 3 = 12
Explanation:
Adding 9 and 3 gives the sum 12.
Here 1 is carried to the tens place and 2 is represented in the ones place.
Sum = 12.

Question 5.
12 + 3 =
12 + 3 = 15

Question 6.
15 + 3 =
15 + 3 = 18

Question 7.
18 + 3 =
18 + 3 = 21

Question 8.
21 + 3 =
21 + 3 = 24

Question 9.
24 + 3 =
24 + 3 = 27

Question 10.
27 + 3 =
27 + 3 = 30

Question 11.
30 â€“ 3 =
30 – 3 = 27

Question 12.
27 â€“ 3 =
27 – 3 = 24

Question 13.
24 â€“ 3 =
24 – 3 = 21

Question 14.
21 â€“ 3 =
21 – 3 = 18

Question 15.
18 â€“ 3 =
18 – 3 = 15

Question 16.
15 â€“ 3 =
15 – 3 = 12

Question 17.
12 â€“ 3 =
12 – 3 = 9

Question 18.
9 â€“ 3 =
9 – 3 = 6

Question 19.
6 â€“ 3 =
6 – 3 = 3

Question 20.
3 â€“ 3 =
3 – 3 = 0

Question 21.
3 + 0 =
3 + 0 = 3

Question 22.
3 + 3 =
3 + 3 = 6

Question 23.
6 + 3 =
6 + 3 = 9

Question 24.
9 + 3 =
9 + 3 = 12

Question 25.
12 + 3 =
12 + 3 = 15

Question 26.
15 + 3 =
15 + 3 = 18

Question 27.
18 + 3 =
18 + 3 = 21

Question 28.
21 + 3 =
21 + 3 = 24

Question 29.
24 + 3 =
24 + 3 = 27

Question 30.
27 + 3 =
27 + 3 = 30

Question 31.
0 + 33 =
0 + 33 = 33

Question 32.
33 + 33 =
33 + 33 = 66
Explanation:
Given Two 2 digit numbers.
Adding two 2 digit number we add the ones place first and then the tens place.
ones place = 3+3 = 6, ten place = 3 + 3 = 6.
Sum = 66.

Question 33.
66 + 33 =
66 + 33 = 99

Question 34.
33 + 66 =
33 + 66 = 99

Question 35.
99 â€“ 33 =
99 – 33 = 66

Question 36.
66 â€“ 33 =
66 – 33 = 33

Question 37.
999 â€“ 333 =
999 – 333 = 666

Explanation:
Here a 3 digit number is subtracted from a 3 digit number.
First ones places are subtracted then tens place and then hundreds place.
9 – 3 = 6, 9 – 3 = 6, 9 – 3 = 6
Difference = 666.

Question 38.
33 â€“ 33 =
33 – 33 = 0

Question 39.
33 + 0 =
33 + 0 = 33

Question 40.
30 + 3 =
30 + 3 = 33

Question 41.
33 + 3 =
33 + 3 = 36

Question 42.
36 + 3 =
36 + 3 = 39

Question 43.
63 + 33 =
63 + 33 = 96

Question 44.
63 + 36 =
63 + 36 = 99.
Explanation:
Given Two 2 digit numbers.
Adding two 2 digit numbers 63 , 36 we add the ones place first and then the tens place.
ones place = 3+6 =9 , ten place = 6+ 3 = 9.
Sum = 99.

B. Adding and Subtracting by 3

Question 1.
3 + 0 =
3 + 0 = 3

Question 2.
3 + 3 =
3 + 3 = 6

Question 3.
3 + 6 =
3 + 6 = 9

Question 4.
3 + 9 =
3 + 9 = 12

Question 5.
3 + 12 =
3 + 12 = 15

Question 6.
3 + 15 =
3 + 15 = 18

Question 7.
3 + 18 =
3 + 18 = 21

Question 8.
3 + 21 =
3 + 21 = 24

Question 9.
3 + 24 =
3 + 24 = 27

Question 10.
3 + 27 =
3 + 27 = 30

Question 11.
30 â€“ 3 =
30 – 3 = 27
Explanation:
Subtracting a one digit number from a two digit number.first subtract ones places 0 – 3 since 0 is less than 3 we borrow 1 from the tens place and make 10 in the ones place. 10 – 3 = 7. Since we borrowed 1 from 3 tens place 3 will become 2.
difference is 27.

Question 12.
27 â€“ 3 =
27 – 3 = 24

Question 13.
24 â€“ 3 =
24 – 3 = 21

Question 14.
21 â€“ 3 =
21 – 3 = 18

Question 15.
18 â€“ 3 =
18 – 3 = 15

Question 16.
15 â€“ 3 =
15 – 3 = 12

Question 17.
12 â€“ 3 =
12 – 3 = 9

Question 18.
9 â€“ 3 =
9 – 3 = 6

Question 19.
6 â€“ 3 =
6 – 3 = 3

Question 20.
3 â€“ 3 =
3 – 3 = 0

Question 21.
0 + 3 =
0 + 3 = 3

Question 22.
3 + 3 =
3 + 3 = 6

Question 23.
6 + 3 =
6 + 3 = 9

Question 24.
9 + 3 =
9 + 3 = 12

Question 25.
12 + 3 =
12 + 3 = 15

Question 26.
15 + 3 =
15 + 3 = 18

Question 27.
18 + 3 =
18 + 3 = 21

Question 28.
21 + 3 =
21 + 3 = 24

Question 29.
24 + 3 =
24 + 3 = 27

Question 30.
27 + 3 =
27 + 3 = 30

Question 31.
0 + 33 =
0 + 33 = 33

Question 32.
33 + 33 =
33 + 33 = 66

Question 33.
33 + 66 =
33 + 66 = 99

Question 34.
66 + 33 =
66 + 33 = 99

Question 35.
99 â€“ 33 =
99 – 33 = 66

Question 36.
66 â€“ 33 =
66 – 33 = 33

Question 37.
999 â€“ 333 =
999 – 333 = 666

Question 38.
33 â€“ 33 =
33 – 33 = 0

Question 39.
33 + 0 =
33 + 0 = 33

Question 40.
30 + 3 =
30 + 3 = 33

Question 41.
33 + 3 =
33 + 3 = 36

Question 42.
36 + 3 =
36 + 3 = 39

Question 43.
36 + 33 =
36 + 33 = 69

Question 44.
36 + 63 =
36 + 63 = 99.

Eureka Math Grade 2 Module 7 Lesson 16 Recording Sheet Answer Key

Center 1:
Measure and Compare Shin Lengths
Choose a measuring unit to measure the shins of everyone in your group. Measure from the top of the foot to the bottom of the knee.

Question 1.
I chose to measure using _______. Record the results in the table below. Include the units.

 Name Length of Shin

 Name Length of Shin Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â Sai Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â 1 foot – 12 inches Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Harsha Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  10 inches Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â Kelvin Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â 10.5 inches Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â Sowmya Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â 9 inches Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Komal Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â 11 inches Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Kunal Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â 11.5 inches

Question 2:
What is the difference in length between the longest and shortest shins? Write a number sentence and statement to show the difference between the two lengths.
Length of the longest shinsÂ  = 12 inches
Length of the shortest shins = 9 inches
Difference between the longest and the shortest shins = 12 – 9 = 3 inches.

12 in – 9 in = 3 inches.
Difference is 3 inches.

Center 2:
Compare Lengths to a Yardstick

Fill in your estimate for each object using the words more than, less than, or about the same length as. Then, measure each object with a yardstick, and record the measurement on the chart.

Question 1.
The length of a book is ______ the yardstick.
The length of a book isÂ  less than the yardstick.

Question 2.
The height of the door is ______ the yardstick.
The height of the door is __more than____ the yardstick

Question 3.
The length of a student desk is ______ the yardstick.
The length of a student desk is __same length as____ the yardstick.

 Object Measurement Length of book Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  less than yard 25 cm – 0.27 yards Height of door Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  more than yard – 2 yards Length of student desk Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â same length as yard – 1.2 yard

Question 4:
What is the length of 4 student desks pushed together with no gaps in between? Use the RDW process to solve on the back of this paper.

Center 3:
Choose the Units to Measure Objects.

Question 1.
Name 4 objects in the classroom. Circle which unit you would use to measure each item, and record the measurement in the chart.

 Object Length of the Object inches/feet/yards inches/feet/yards inches/feet/yards inches/feet/yards

Question 2.
Billy measures his pencil. He tells his teacher it is 7 feet long. Use the back of this paper to explain how you know that Billy is incorrect and how he can change his answer to be correct.

Center 4:
Find Benchmarks.

Question 1.
Look around the room to find 2 or 3 objects for each benchmark length. Write each object in the chart, and record the exact length.

 Objects That Are About an Inch Objects That Are About a Foot Objects That Are About a Yard 1. _____ inches 1. _____ inches 1. _____ inches 2. _____ inches 2. _____ inches 2. _____ inches 3. _____ inches 3. _____ inches 3. _____ inches

Center 5:
Choose a Tool to Measure

Question 1.
Circle the tool used to measure each object. Then, measure and record the length in the chart. Circle the unit.

 Object Measurement Tool Measurement Length of the rug 12-inch ruler / yardstick _______ inches/feet Textbook 12-inch ruler / yardstick _______ inches/feet Pencil 12-inch ruler / yardstick _______ inches/feet Length of the chalkboard 12-inch ruler / yardstick _______ inches/feet Pink eraser 12-inch ruler / yardstick _______ inches/feet

Question 2:
Seraâ€™s jump rope is the length of 6 textbooks. On the back of this paper, make a tape diagram to show the length of Seraâ€™s jump rope. Then, write a repeated addition sentence using the textbook measurement from the chart to find the length of Seraâ€™s jump rope.

Eureka Math Grade 2 Module 7 Lesson 16 Exit Ticket Answer Key

Question 1.
Circle the unit that would best measure each object.

 Marker inch / foot / yard Height of a car inch / foot / yard Birthday card inch / foot / yard Soccer field inch / foot / yard Length of a computer screen inch / foot / yard Height of a bunk bed inch / foot / yard

Question 1.
Circle the unit that would best measure each object.

 Height of a door inch / foot / yard Textbook inch / foot / yard Pencil inch / foot / yard Length of a car inch / foot / yard Length of your street inch / foot / yard Paint brush inch / foot / yard

Question 2.
Circle the correct estimate for each object.

a. The height of a flagpole is more than / less than/about the same as the length of a yardstick.
The height of a flagpole is more thanÂ the length of a yardstick.

b. The width of a door is more than / less than/about the same as the length of a yardstick.
The width of a door is about the same as the length of a yardstick.

c. The length of a laptop computer is more than / less than/about the same as the length of a 12-inch ruler.
The length of a laptop computer is about the same asÂ the length of a 12-inch ruler.

d. The length of a cell phone is more than / less than/about the same as the length of a 12-inch ruler.
The length of a cell phone is Â less thanÂ the length of a 12-inch ruler.

Question 3.
Name 3 objects in your classroom. Decide which unit you would use to measure that object. Record it in the chart in a full statement.

 Object Unit a. I would use ______________ to measure the length of ________________________. b. c.