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This worksheet helps students practice breaking down two-digit numbers into tens and ones using fill-in-the-blanks, number bonds, and visual aids.

Math worksheet for decomposing numbers into tens and ones with number bonds and visual exercises.

Math worksheet for decomposing numbers into tens and ones with number bonds and visual exercises.

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Show Answer Key & Explanations Step-by-step solution for: Decomposing Numbers as Tens and Ones Worksheets
Sure! Let’s solve each part of the worksheet step by step, explaining how to decompose numbers into tens and ones — a foundational concept in place value.

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## A) Decompose each number, and write how many tens and ones in each.

1) 15 = ___ ten and ___ ones



- Think: 15 is made up of one group of 10 and 5 more.
- So, 1 ten and 5 ones.
Answer: 1 ten and 5 ones

2) 18 = ___ ten and ___ ones



- Think: 18 is one group of 10 plus 8 more.
- So, 1 ten and 8 ones.
Answer: 1 ten and 8 ones

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## B) Split each number as tens and ones, and write them in the circles.

This uses a “number bond” diagram — the top circle is the total, and the two bottom circles show the parts (tens and ones).

1) Number: 16



- 16 = 10 + 6
- So, 1 ten and 6 ones
Write:
- Left circle (ten): 1
- Right circle (ones): 6

2) Number: 13



- 13 = 10 + 3
- So, 1 ten and 3 ones
Write:
- Left circle (ten): 1
- Right circle (ones): 3

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## C) Write how many in all, how many tens, and how many ones.

This section uses pictures to represent numbers. We count the total, then break it into tens and ones.

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1) Picture: Two plates with bundles of sticks



- Left plate: 10 sticks bundled together → that’s 1 ten
- Right plate: 5 sticks not bundled → that’s 5 ones
- Total = 10 + 5 = 15

Fill in the table:

| Total | Ten | Ones |
|-------|-----|------|
| 15 | 1 | 5 |

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2) Picture: Base-ten blocks (tens rods and ones cubes)



- Left box: 10 small cubes arranged in a block → that’s 1 ten
- Right box: 3 individual cubes → that’s 3 ones
- Total = 10 + 3 = 13

Fill in the table:

| Total | Ten | Ones |
|-------|-----|------|
| 13 | 1 | 3 |

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## Final Answers Summary:

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A)


1) 15 = 1 ten and 5 ones
2) 18 = 1 ten and 8 ones

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B)


1) 16 → ten: 1, ones: 6
2) 13 → ten: 1, ones: 3

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C)


1) Total: 15, Ten: 1, Ones: 5
2) Total: 13, Ten: 1, Ones: 3

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## 📌 Key Concept Explained:

> Decomposing numbers into tens and ones means breaking a number into how many groups of 10 (“tens”) and how many leftover single units (“ones”). This helps build understanding of place value, which is essential for addition, subtraction, and working with larger numbers later.

For example:
- 15 = 10 + 5 → 1 ten, 5 ones
- 13 = 10 + 3 → 1 ten, 3 ones

You can always check your answer by adding:
Tens × 10 + Ones = Total

Let me know if you’d like a visual drawing or printable version! 😊
Parent Tip: Review the logic above to help your child master the concept of subtraction worksheet decomposition.
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