Decomposing two-digit numbers worksheet for math practice.

Problem Description:

The task involves decomposing two-digit numbers into their tens and ones components. For example, the number 45 can be broken down into 4 tens and 5 ones.

Solution Approach:

1. Understand the Structure: Each two-digit number consists of a "tens" place and a "ones" place.
- The tens place represents how many groups of 10 are in the number.
- The ones place represents the remaining units.

2. Break Down Each Number:
- For each number in the left column, identify how many tens and how many ones it contains.
- Repeat the process for the numbers in the right column.

3. Fill in the Blanks:
- Write the number of tens in the first blank.
- Write the number of ones in the second blank.

Step-by-Step Decomposition:

#### Left Column:
1. 45:
- Tens: 4 (because 4 × 10 = 40)
- Ones: 5 (remaining units)
- Answer: 4 tens and 5 ones

2. 38:
- Tens: 3 (because 3 × 10 = 30)
- Ones: 8 (remaining units)
- Answer: 3 tens and 8 ones

3. 62:
- Tens: 6 (because 6 × 10 = 60)
- Ones: 2 (remaining units)
- Answer: 6 tens and 2 ones

4. 89:
- Tens: 8 (because 8 × 10 = 80)
- Ones: 9 (remaining units)
- Answer: 8 tens and 9 ones

5. 21:
- Tens: 2 (because 2 × 10 = 20)
- Ones: 1 (remaining units)
- Answer: 2 tens and 1 one

#### Right Column:
1. 83:
- Tens: 8 (because 8 × 10 = 80)
- Ones: 3 (remaining units)
- Answer: 8 tens and 3 ones

2. 77:
- Tens: 7 (because 7 × 10 = 70)
- Ones: 7 (remaining units)
- Answer: 7 tens and 7 ones

3. 95:
- Tens: 9 (because 9 × 10 = 90)
- Ones: 5 (remaining units)
- Answer: 9 tens and 5 ones

4. 14:
- Tens: 1 (because 1 × 10 = 10)
- Ones: 4 (remaining units)
- Answer: 1 ten and 4 ones

5. 56:
- Tens: 5 (because 5 × 10 = 50)
- Ones: 6 (remaining units)
- Answer: 5 tens and 6 ones

Final Answers:

```
Decomposing two digit numbers

45 | 83
____ tens and ____ ones | ____ tens and ____ ones
4 tens and 5 ones | 8 tens and 3 ones

38 | 77
____ tens and ____ ones | ____ tens and ____ ones
3 tens and 8 ones | 7 tens and 7 ones

62 | 95
____ tens and ____ ones | ____ tens and ____ ones
6 tens and 2 ones | 9 tens and 5 ones

89 | 14
____ tens and ____ ones | ____ tens and ____ ones
8 tens and 9 ones | 1 ten and 4 ones

21 | 56
____ tens and ____ ones | ____ tens and ____ ones
2 tens and 1 one | 5 tens and 6 ones
```

Final Boxed Answer:

\[
\boxed{
\begin{array}{c|c}
4 \text{ tens and } 5 \text{ ones} & 8 \text{ tens and } 3 \text{ ones} \\
3 \text{ tens and } 8 \text{ ones} & 7 \text{ tens and } 7 \text{ ones} \\
6 \text{ tens and } 2 \text{ ones} & 9 \text{ tens and } 5 \text{ ones} \\
8 \text{ tens and } 9 \text{ ones} & 1 \text{ ten and } 4 \text{ ones} \\
2 \text{ tens and } 1 \text{ one} & 5 \text{ tens and } 6 \text{ ones} \\
\end{array}
}
\]