We included **HMH Into Math Grade 2 Answer Key**** PDF** **Module 13 Lesson 4 Add 3 Two-Digit Numbers Using Strategies and Properties** to make students experts in learning maths.

## HMH Into Math Grade 2 Module 13 Lesson 4 Answer Key Add 3 Two-Digit Numbers Using Strategies and Properties

I Can find sums for 3 two-digit numbers by using addition strategies and properties.

**Step It Out**

1. Evan makes berry smoothies with 26 strawberries, 14 blueberries, and 16 raspberries. How many berries does Evan use?

A. Choose two of the ones digits that are easy for you to add.

THINK: Which two digits make a ten?

__ + __ = 10

Answer:

6 + 4 = 10

B. Add the other ones digit.

10 ones + ___ ones = __ ones

Answer:

10 o es + 6 ones = 16 ones

C. Regroup if you need to.

__ ones = __ ten __ ones

Answer:

16 ones = 1 ten 6 ones

D. Write a 1 in the tens column to show the regrouped ten. Write the number of ones left over in the ones place.

Answer:

6 ones

E. Add the tens. Write the number of tens in the tens place.

2 tens + 1 ten + 1 ten + 1 ten = ___ tens

Answer:

2 tens + 1 ten + 1 ten + 1 ten = 5 tens

F. Write the sum __ tens ___ ones

Answer:

5 tens 6 ones

G. Solve. Evan uses __ berries.

Answer:

Evan uses 56 berries

Explanation:

Evan makes berry smoothies with 26 strawberries, 14 blueberries, and 16 raspberries.

Number of berries Evan use = 26 + 14 + 16 = 56

**Step It Out**

2. Amelia plays with 26 green marbles, 14 red marbles, and 16 purple marbles. How many marbles does Amelia play with?

A. Look at the ones digits. Choose two of the digits that are easy for you to add.

THINK: Which two digits are doubles?

___ + ___ = ___

Answer:

6 + 6 = 12

B. Add the other ones digit.

12 ones + ___ ones = __ ones

Answer:

12 ones + 4 ones = 16 ones

C. Regroup if you need to.

___ ones = ___ ten ___ ones

Answer:

16 ones = 1 ten 6 ones

D. Write a 1 in the tens column to show the regrouped ten. Write the number of ones left over in the ones place.

Answer:

6 ones

E. Add the tens. Write the number of tens in the tens place.

2 tens + 1 ten + 1 ten + 1 ten = ___ tens

Answer:

2 tens + 1 ten + 1 ten + 1 ten = 5 tens

F. Write the sum. __ tens ___ ones

Answer:

5 tens 6 ones

G. Solve. Amelia plays with ___ marbles.

Answer:

Amelia plays with 56 marbles.

Explanation:

Amelia plays with 26 green marbles, 14 red marbles, and 16 purple marbles.

Number of marbles does Amelia play with = 26 + 14 + 16 = 56

**Turn and Talk** How is adding 3 two-digit numbers like adding 2 two-digit numbers?

3. Add from top to bottom to find the sum.

A. First, add the top two digits in the ones column.

6 + 4 = __

Answer:

6 + 4 = 10

B. Add the next digit in the ones column. 10 + 6 = ___

Answer:

10 + 6 = 16

C. Record the ones ¡n the problem.

Answer:

6 + 4 + 6 = 16

D. Add the digits in the tens column. Remember to include any regrouped tens.

Answer:

2 + 1 + 1 + 1 = 5

E. Record the tens in the problem.

Answer:

5 tens

F. Write the number of tens and ones. __ tens ___ ones

Answer:

5 tens and 6 ones

G. Write the sum. ____

Answer:

26 + 14 + 16 = 56

Explanation:

Adding 3 two-digit numbers is like adding 2 two-digit numbers.

First, add the top two digits in the ones column.

Then, add the next digit in the ones column.

Add tens column along with the regrouped tens.

Then write the number of tens and ones.

Finally write the sum of the 3 two digit.

**Turn and Talk** Which strategy works best for you? Explain.

Answer:

Associative property helps to find the sum.

Explanation:

The sum of two numbers does not change if the order of the numbers changed also.

The sum of the addition of two or more whole numbers is always a whole number.

Whole Number + Whole Number = Whole Number.

**Check Understanding math Board**

Question 1.

There are 14 people on a bus. At the next stop, 24 people get on the bus. At the lost stop, 19 people get on the bus. How many people are on the bus now? Solve.

____ people

Answer:

57 people

Explanation:

There are 14 people on a bus.

At the next stop, 24 people get on the bus.

At the lost stop, 19 people get on the bus.

Number of people on the bus now = 14 + 24 + 19 = 57

**On Your Own**

Question 2.

**Reason** At a farm stand, there are 33 carrots, 32 cucumbers, and 27 tomatoes. How many items are at the farm stand? Show your work.

Think about what you added first. Would your answer change if you added in a different order? Explain.

Answer:

First add all the ones and regroup tens to find the sum.

In addition if order of addends are changed also there is no difference in sum.

Explanation:

At a farm stand, there are 33 carrots, 32 cucumbers, and 27 tomatoes.

Total items are at the farm stand = 92

**Attend to Precision Find the sum.**

Question 3.

Answer: 46

Explanation:

Adding 3 two-digit numbers is like adding 2 two-digit numbers.

First, add the top two digits in the ones column, to make 10

Then, add the next digit in the ones column.

Add tens column along with the regrouped tens.

Then write the number of tens and ones.

Finally write the sum of the 3 two digit.

Question 4.

Answer: 72

Explanation:

Adding 3 two-digit numbers is like adding 2 two-digit numbers.

First, add the top two digits in the ones column.

Then, add the next digit in the ones column.

Add tens column along with the regrouped tens.

Then write the number of tens and ones.

Finally write the sum of the 3 two digit.

Question 5.

Answer: 70

Explanation:

Adding 3 two-digit numbers is like adding 2 two-digit numbers.

First, add the two digits in the ones column to make 10.

Add tens column along with the regrouped tens.

Then write the number of tens and ones.

Finally write the sum of the 3 two digit.

Question 6.

Answer: 91

Explanation:

Adding 3 two-digit numbers is like adding 2 two-digit numbers.

First, add the top two digits in the ones column.

Then, add the next digit in the ones column.

Add tens column along with the regrouped tens.

Then write the number of tens and ones.

Finally write the sum of the 3 two digit.

Question 7.

Answer: 99

Explanation:

Adding 3 two-digit numbers is like adding 2 two-digit numbers.

First, add the top two digits in the ones column.

Then, add the next digit in the ones column.

Add tens column along with the regrouped tens.

Then write the number of tens and ones.

Finally write the sum of the 3 two digit.

Question 8.

Answer: 65

Explanation:

Adding 3 two-digit numbers is like adding 2 two-digit numbers.

First, add the top two digits in the ones column.

Then, add the next digit in the ones column.

Add tens column along with the regrouped tens.

Then write the number of tens and ones.

Finally write the sum of the 3 two digit.

Question 9.

**Attend to Precision** In a library, there are 36 science books, 29 sports books, and 14 poetry books. How many books are in the library? Show your work.

Answer:

79 books

Explanation:

Library has 36 science books, 29 sports books, and 14 poetry books.

Total books in the library = 36 + 29 + 14 = 79

**Use Structure Find the sum.**

Question 10.

Answer: 48

Explanation:

First, add the first two digits in ones column to make 10,

then add the next digit in ones column.

Add tens column along with the regrouped tens.

Then write the number of tens and ones.

Finally we get the sum of the 3 two digit.

Question 11.

Answer: 83

Explanation:

First, add the ones column,

then add tens column along with the regrouped tens.

Then write the number of tens and ones.

Finally we get the sum of the 3 two digit.

Question 12.

Answer: 90

Explanation:

First, add the ones column,

then add tens column along with the regrouped tens.

Then write the number of tens and ones.

Finally we get the sum of the 3 two digit.

Question 13.

Answer: 68

Explanation:

First, add the ones column,

then add tens column along with the regrouped tens.

Then write the number of tens and ones.

Finally we get the sum of the 3 two digit.

Question 14.

Answer: 80

Explanation:

First, add the ones column,

then add tens column along with the regrouped tens.

Then write the number of tens and ones.

Finally we get the sum of the 3 two digit.

Question 15.

Answer: 96

Explanation:

First, add the ones column, then add tens.

Write the numbers of tens and ones together.

Finally we get the sum of the 3 two digit.

**On Your Own**

Question 16.

**Open Ended** Cara finds some pine cones. Paola finds some pine cones. Sergei finds 24 pine cones. How many pine cones do they find?

Choose numbers that will have a sum of 100 or less. Find the sum. Show your work.

They find ___ pine cones.

Answer:

They find 98 pine cones.

Explanation:

Numbers may vary from one to one.

If Cara finds 38 pine cones.

If Paola finds 36 pine cones.

Sergei finds 24 pine cones.

Number of pine cones they found = 38 + 36 + 24 = 98

**Use Repeated Reasoning Find the sum.**

Question 17.

Answer:

Explanation:

Write which two digits in ones column make a ten 4 + 6 = 10

Then add the other ones digit = 10 + 8 = 18

Regroup tens in ones column as 1 ten 8 ones.

Write a 1 in the tens column to show the regrouped ten.

Write the number of ones left over in the ones place = 8

Add the tens. Write the number of tens in the tens place = 8

Write the sum 8 tens 8 ones

Question 18.

Answer:

Explanation:

Write which two digits in ones column make a ten 9 + 1 = 10

Regroup tens in ones column as 1 ten 0 ones.

Write a 1 in the tens column to show the regrouped ten.

Write the number of ones left over in the ones place = 0

Add the tens. Write the number of tens in the tens place = 9

Write the sum 9 tens 0 ones

Question 19.

Answer:

Explanation:

Add the digits in ones column 7 + 2 + 9 = 18

Regroup tens in ones column as 1 ten 8 ones.

Write a 1 in the tens column to show the regrouped ten.

Write the number of ones left over in the ones place = 8

Add the tens. Write the number of tens in the tens place = 7

Write the sum 7 tens 8 ones

Question 20.

Answer:

Explanation:

Add the digits in ones column = 5 + 4 = 9

Add the tens. Write the number of tens in the tens place = 9

Write the sum 9 tens 9 ones

Question 21.

Answer:

Explanation:

Write which two digits in ones column make a ten 9 + 1 = 10

Then add the other ones digit = 10 + 3 = 13

Regroup tens in ones column as 1 ten 3 ones.

Write a 1 in the tens column to show the regrouped ten.

Write the number of ones left over in the ones place = 3

Add the tens. Write the number of tens in the tens place = 9

Write the sum 9 tens 3 ones

Question 22.

Answer:

Explanation:

Write which two digits in ones column make a ten 5 + 5 = 10

Then add the other ones digit = 10 + 5 = 15

Regroup tens in ones column as 1 ten 5 ones.

Write a 1 in the tens column to show the regrouped ten.

Write the number of ones left over in the ones place = 5

Add the tens. Write the number of tens in the tens place = 9

Write the sum 9 tens 5 ones