Teachers and students can find this Eureka Book Answer Key for Grade 3 more helpful in raising students’ scores and supporting teachers to educate the students. Learning activities are the best option to educate elementary school kids and make them understand the basic mathematical concepts like addition, subtraction, multiplication, division, etc. Grade 3 elementary school students can find these fun-learning exercises for all math concepts through the Eureka Book.

## Engage NY Eureka Math 3rd Grade Module 3 Lesson 14 Answer Key

Students of Grade 3 can get a strong foundation by referring to the Eureka Math Book. It was developed by highly professional mathematics educators and the solutions prepared by them are in a concise manner for easy grasping. To achieve high scores in Grade 3, students need to solve all questions and exercises included in Eureka Grade 3 Book.

### Eureka Math Grade 3 Module 3 Lesson 14 Pattern Sheet Answer Key

Multiply

9 x 1 = 9, 9 x 2 = 18, 9 x 3 = 27, 9 x 4 = 36, 9 x 5 = 45, 9 x 1 = 9, 9 x 2 = 18, 9 x 1 = 9, 9 x 3 = 27, 9 x 1 = 9, 9 x 4 = 36, 9 x 1 = 9, 9 x 5 = 45, 9 x 1 = 9, 9 x 2 = 18, 9 x 3 = 27, 9 x 2 = 18, 9 x 4 = 36, 9 x 2 = 18, 9 x 5 = 45, 9 x 2 = 18, 9 x 1 = 9, 9 x 2 = 18, 9 x 3 = 27, 9 x 1 = 9, 9 x 3 = 27, 9 x 2 = 18, 9 x 3 = 27, 9 x 4 = 36, 9 x 3 = 27, 9 x 5 = 45, 9 x 3 = 27, 9 x 4 = 36, 9 x 1 = 9, 9 x 4 = 36, 9 x 2 = 18, 9 x 4 = 36, 9 x 3 = 27, 9 x 4 = 36, 9 x 5 = 45, 9 x 4 = 36, 9 x 5 = 45, 9 x 1 = 9, 9 x 5 = 45, 9 x 2 = 18, 9 x 5 = 45, 9 x 3 = 27, 9 x 5 = 45, 9 x 4 = 36, 9 x 2 = 18, 9 x 4 = 36, 9 x 3 = 27, 9 x 5 = 45, 9 x 3 = 27, 9 x 2 = 18, 9 x 4 = 36, 9 x 3 = 27, 9 x 5 = 45, 9 x 2 = 18, 9 x 4 = 36.

Explanation:
In the above-given question,
given that,
multiply by 9.

### Eureka Math Grade 3 Module 3 Lesson 14 Problem Set Answer Key

Question 1.
a. Multiply. Then, add the tens digit and ones digit of each product.

 1 × 9 = 9 0      +   9    =   9 2 × 9 = 18 1      +    8    = __9____ 3 × 9 = 27 __2___ + __7___ = __9____ 4 × 9 = 36 _3____ + __6___ = __9____ 5 × 9 = 45 __4___ + __5___ = __9____ 6 × 9 = 54 __5___ + __4___ = ___9___ 7 × 9 = 63 __6___ + __3___ = __9____ 8 × 9 = 72 __7___ + __2___ = __9____ 9 × 9 = 81 __8___ + __1___ = ___9___ 10 × 9 = 90 __9___ + ___0__ = __9____

0 + 9 = 9.
1 + 8 = 9.
2 + 7 = 9.
3 + 6 = 9.
4 + 5 = 9.
5 + 4 = 9.
6 + 3 = 9.
7 + 2 = 9.
8 + 1 = 9.
9 + 0 = 9.

Explanation:
In the above-given question,
given that,
if we add ones and tens digits in table 9 it will get 9.
0 + 9 = 9.
1 + 8 = 9.
2 + 7 = 9.
3 + 6 = 9.
4 + 5 = 9.
5 + 4 = 9.
6 + 3 = 9.
7 + 2 = 9.
8 + 1 = 9.
9 + 0 = 9.

b.
What is the sum of the digits in each product? How can this strategy help you check your work with the nines facts?

0 + 9 = 9.
1 + 8 = 9.
2 + 7 = 9.
3 + 6 = 9.
4 + 5 = 9.
5 + 4 = 9.
6 + 3 = 9.
7 + 2 = 9.
8 + 1 = 9.
9 + 0 = 9.

Explanation:
In the above-given question,
given that,
if we add ones and tens digits in table 9 it will get 9.
0 + 9 = 9.
1 + 8 = 9.
2 + 7 = 9.
3 + 6 = 9.
4 + 5 = 9.
5 + 4 = 9.
6 + 3 = 9.
7 + 2 = 9.
8 + 1 = 9.
9 + 0 = 9.

c. Araceli continues to count by nines. She writes, “90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198. Wow! The sum of the digits is still 9.” Is she correct? Why or why not?

Yes, she is correct.

Explanation:
In the above-given question,
given that,
Araceli continues to count by nines.
she writes 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198.
0 + 9 = 9.
1 + 8 = 9.
1 + 1 + 7 = 9.
1 + 2 + 6 = 9.
1 + 3 + 5 = 9.
1 + 4 + 4 = 9.
1 + 5 + 3 = 9.
1 + 6 + 2 = 9.
1 + 7 + 1 = 9.
1 + 8 = 9.

Question 2.
Araceli uses the number of groups in 8 × 9 to help her find the product. She uses 8 – 1 = 7 to get the digit in the tens place and 10 – 8 = 2 to get the digit in the ones place. Use her strategy to find 4 more facts.

8 x 9 = 72.

Explanation:
In the above-given question,
given that,
8 – 1 = 7.
10 – 8 = 2.
9 x 8 = 72.
9 – 2 = 7.
10 – 8 = 2.

Question 3.
Dennis calculates 9 × 8 by thinking about it as 80 – 8 = 72. Explain Dennis’ strategy.

9 x 8 = 72.

Explanation:
In the above-given question,
given that,
Dennis calculates 9 x 8 = 72.
80 – 8 = 72.

Question 4.
Sonya figures out the answer to 7 × 9 by putting down her right index finger (shown). What is the answer? Explain how to use Sonya’s finger strategy.

7 x 9 = 63.

Explanation:
In the above-given question,
given that,
Sonya figures out the answer is 63.
left hand 5 fingers + right-hand thumb finger.
6 and right hand 3 fingers.
63.

### Eureka Math Grade 3 Module 3 Lesson 14 Exit Ticket Answer Key

Donald writes 6 × 9 = 54. Explain two strategies you could use to check his work.

6 x 9 = 54.
9 x 6 = 54.

Explanation:
In the above-given question,
given that,
Donald writes 6 x 9 = 54.
we can write it as 9 x 6 = 54.

### Eureka Math Grade 3 Module 3 Lesson 14 Homework Answer Key

Question 1.
a. Multiply. Then, add the digits in each product.

 10 × 9 = 90 9      +      0      =      9 9 × 9 = 81 8      +      1      =      9 8 × 9 =72 ___7__ + __2___ = ___9___ 7 × 9 = 63 __6___ + __3___ = __9____ 6 × 9 = 54 ___5__ + _4____ = __9____ 5 × 9 = 45 __4___ + __5___ = __9____ 4 × 9 = 36 __3___ + __6___ = __9____ 3 × 9 = 27 ___2__ + __7___ = ___9___ 2 × 9 = 18 ___1__ + __8___ = __9____ 1 × 9 = 9 ___0__ + ___9__ = ___9___

0 + 9 = 9.
1 + 8 = 9.
2 + 7 = 9.
3 + 6 = 9.
4 + 5 = 9.
5 + 4 = 9.
6 + 3 = 9.
7 + 2 = 9.
8 + 1 = 9.
9 + 0 = 9.

Explanation:
In the above-given question,
given that,
if we add ones and tens digits in table 9 it will get 9.
0 + 9 = 9.
1 + 8 = 9.
2 + 7 = 9.
3 + 6 = 9.
4 + 5 = 9.
5 + 4 = 9.
6 + 3 = 9.
7 + 2 = 9.
8 + 1 = 9.
9 + 0 = 9.

b. What pattern did you notice in Problem 1(a)? How can this strategy help you check your work with nines facts?

0 + 9 = 9.
1 + 8 = 9.
2 + 7 = 9.
3 + 6 = 9.
4 + 5 = 9.
5 + 4 = 9.
6 + 3 = 9.
7 + 2 = 9.
8 + 1 = 9.
9 + 0 = 9.

Explanation:
In the above-given question,
given that,
if we add ones and tens digits in table 9 it will get 9.
0 + 9 = 9.
1 + 8 = 9.
2 + 7 = 9.
3 + 6 = 9.
4 + 5 = 9.
5 + 4 = 9.
6 + 3 = 9.
7 + 2 = 9.
8 + 1 = 9.
9 + 0 = 9.

Question 2.
Thomas calculates 9 × 7 by thinking about it as 70 – 7 = 63. Explain Thomas’ strategy.

9 x 7 = 63.

Explanation:
In the above-given question,
given that,
Dennis calculates 9 x 7 = 63.
70 – 7 = 63.

Question 3.
Alexia figures out the answer to 6 × 9 by lowering the thumb on her right hand (shown).

• Explain Alexia’s strategy.

6 x 9 = 54.

Explanation:
In the above-given question,
given that,
Alexia figures out the answer is 54.
left hand 5 fingers + right-hand four fingers.
lowering the thumb on her right hand.
5 and 4.
6 x 9 = 54.

Question 4.
Travis writes 72 = 9 × 8. Is he correct? Explain at least 2 strategies Travis can use to check his work.