#### Introduction**:**

Break apart the addends to find the sum.

## Break Apart Numbers:

**Addition of a 2-digit number: **

Break apart the addends in different ways to find the sum.

**Example 1:**

Find 25 + 18.

**Solution:**

**One way:**

Break apart the second addend to make a 10.

**Another way: **

Break apart the second addend into tens and ones.

Add 25 + 10 = 35.

Next, 35 + 5 = 40.

Then, 40 + 3 = 43.

So, 25 + 18 = 43.

**Example 2:**

Find 37 + 14.

**Solution:**

**One way:**

Break apart the second addend to make a 10.

So, 37 + 14 = 51.

**Another way: **

Break apart the second addend into tens and ones.

Add 37 + 10 = 47.

Next, 47 + 3 = 50.

Then, 50 + 1 = 51.

So, 37 + 14 = 51.

**Example 3:**

Find 64 + 16.

**Solution:**

**One way:**

Break apart the second addend to make a 10.

So, 64 + 16 = 80.

**Another way: **

Break apart the second addend into tens and ones.

Add 64 + 10 = 74.

Then, 74 + 6 = 80.

So, 64 + 16 = 80.

#### Model Question:

**Question:**

Toby has 34 crayons. Paul has 58 crayons. How many crayons do they have in all? Solve the problem mentally. Show the steps of breaking apart numbers to add.

**Answer:**

Number of crayons with Toby = 34

Number of crayons with Paul = 58 ** **

The total crayons they have in all = 34 + 58

Find 34 + 58.

**One way:**

Break apart the second addend to make a 10.

34 + 58 = 92.

So, they have 92 crayons in all.

**Another way: **

Break apart the second addend into tens and ones.

Add 34 + 50 = 84.

Next, 84 + 6 = 90.

Then, 90 + 2 = 92.

34 + 58 = 92.

So, they have 92 crayons in all.

#### Activity:

Break apart addends as tens and ones. Color the sheet as per the code.

Code:

80 + 9 = orange

60 + 7 = blue

40 + 8 = blue

70 + 5 = green

50 + 7 = green

30 + 6 = blue

#### Exercise

**Question 1:**

Find the sum of 24 and 48 using mental math.

**Question 2:**

Find the sum of 39 and 17 using mental math.

**Question 3:**

Find using mental math. Draw pictures of blocks if needed.

**Question 4:**

Kevin plants 27 trees. Ronald plants 44 trees. How many trees do they plant in all?

**Question 5:**

Oliver has 23 marbles. Jack has 28 marbles. How many marbles do they have in all?

**Question 6:**

19 students are playing football. 23 students are skating. How many students are there in all?

**Question 7:**

Add tens and ones to solve. One number makes both equations true. Find the missing number.

41 + ⎕ = 52

**Question 8:**

Add tens and ones to solve. One number makes both the equations true. Find the missing number.

31 + ⎕ = 44

⎕ + 44 = 57

**Question 9:**

Find 16 + 62.

**Question 10:** Find 33 + 29.

#### Concept Summary

#### What We Have Learned

- Understand how to break apart addends in different ways.
- Add numbers using mental math by breaking apart the addends.
- Solve model questions using place value strategies.

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