Number bonds by tens worksheet for practicing addition to the nearest ten.

Problem Overview:

The task involves filling in the missing numbers in a series of "number bonds" where each bond represents pairs of numbers that add up to a given total. The totals are provided, and the goal is to determine the missing numbers that complete each bond.

Solution Approach:

1. Understand Number Bonds: A number bond shows how numbers can be split into parts. For example, if the total is 10, and one part is 2, the other part must be \(10 - 2 = 8\).
2. Apply Arithmetic: For each bond, use subtraction to find the missing number. If the total is given and one part is known, subtract the known part from the total to find the missing part.
3. Solve Each Row:
- Row 1 (Total = 10):
- \(10 - 2 = 8\)
- \(10 - 3 = 7\)
- \(10 - 5 = 5\)
- \(10 - 4 = 6\)
- Row 2 (Totals = 30, 20, 40, 50):
- \(30 - 26 = 4\)
- \(20 - 17 = 3\)
- \(40 - 32 = 8\)
- \(50 - 41 = 9\)
- Row 3 (Totals = 60, 70, 80, 90):
- \(60 - 54 = 6\)
- \(70 - 63 = 7\)
- \(80 - 79 = 1\)
- \(90 - 85 = 5\)

4. Create Your Own Bonds: This section allows creativity. Choose any numbers and create bonds that add up to a specific total.

Step-by-Step Solution:

#### Row 1 (Total = 10)
- \(10 - 2 = 8\)
- \(10 - 3 = 7\)
- \(10 - 5 = 5\)
- \(10 - 4 = 6\)

#### Row 2 (Totals = 30, 20, 40, 50)
- \(30 - 26 = 4\)
- \(20 - 17 = 3\)
- \(40 - 32 = 8\)
- \(50 - 41 = 9\)

#### Row 3 (Totals = 60, 70, 80, 90)
- \(60 - 54 = 6\)
- \(70 - 63 = 7\)
- \(80 - 79 = 1\)
- \(90 - 85 = 5\)

#### Final Filled-in Bonds:
- Row 1: \(2 + 8 = 10\), \(3 + 7 = 10\), \(5 + 5 = 10\), \(4 + 6 = 10\)
- Row 2: \(26 + 4 = 30\), \(17 + 3 = 20\), \(32 + 8 = 40\), \(41 + 9 = 50\)
- Row 3: \(54 + 6 = 60\), \(63 + 7 = 70\), \(79 + 1 = 80\), \(85 + 5 = 90\)

Final Answer:

\[
\boxed{
\begin{array}{cccc}
8 & 7 & 5 & 6 \\
4 & 3 & 8 & 9 \\
6 & 7 & 1 & 5 \\
\end{array}
}
\]

Create Your Own Bonds:

For example:
- \(15 + 5 = 20\)
- \(22 + 8 = 30\)
- \(45 + 5 = 50\)
- \(60 + 40 = 100\)