Number Bonds worksheet with examples and blank templates for practicing addition, subtraction, multiplication, and division.

Problem Overview:

The task involves solving number bond problems using addition, subtraction, multiplication, and division. Number bonds are visual representations that show how numbers can be split into parts or combined to form a whole. The provided images include examples of number bonds and word problems.

Solution Approach:

1. Understanding Number Bonds:
- Addition/Subtraction: A number bond shows how two parts combine to form a whole. For example, \(3 + 4 = 7\) means the whole is 7, and the parts are 3 and 4.
- Multiplication/Division: A number bond shows how a product is formed by multiplying two factors or how a dividend is divided by a divisor to get a quotient.

2. Solving Word Problems:
- Identify whether the problem requires addition, subtraction, multiplication, or division.
- Use the given information to set up the equation and solve it.

3. Filling in the Number Bonds:
- Use the relationships between the whole and its parts to fill in the missing values in the number bonds.

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Step-by-Step Solution:

#### Part 1: Example Word Problems

1. Problem 1:
- Word Problem: Jack has $11. Jill has $3 more than Jack. How much money does Jill have?
- Solution:
- Jack has $11.
- Jill has $3 more than Jack, so we add $3 to Jack's amount.
- Equation: \(11 + 3 = 14\).
- Jill has $14.
- Number Bond:
- Whole: 14
- Parts: 11 and 3
- Representation: \(11 + 3 = 14\)

2. Problem 2:
- Word Problem: Jack spent $21 to buy basketballs for his friends. Each basketball cost $7. How many basketballs did Jack buy?
- Solution:
- Total amount spent: $21.
- Cost per basketball: $7.
- To find the number of basketballs, divide the total amount by the cost per basketball.
- Equation: \(21 \div 7 = 3\).
- Jack bought 3 basketballs.
- Number Bond:
- Whole: 21
- Factors: 7 and 3
- Representation: \(7 \times 3 = 21\) or \(21 \div 7 = 3\)

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#### Part 2: Filling in Number Bonds

The second image provides blank number bonds for both addition/subtraction and multiplication/division. We will fill in some examples based on the principles of number bonds.

1. Addition/Subtraction Number Bonds:
- Example 1: Whole = 10, Parts = 6 and 4
- Representation: \(6 + 4 = 10\)
- Example 2: Whole = 15, Parts = 9 and 6
- Representation: \(9 + 6 = 15\)

2. Multiplication/Division Number Bonds:
- Example 1: Whole = 24, Factors = 4 and 6
- Representation: \(4 \times 6 = 24\) or \(24 \div 4 = 6\)
- Example 2: Whole = 30, Factors = 5 and 6
- Representation: \(5 \times 6 = 30\) or \(30 \div 5 = 6\)

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Final Answer:

The solutions to the word problems and the filled-in number bonds are as follows:

1. Word Problem 1: Jill has $14.
- Number Bond: \(11 + 3 = 14\)

2. Word Problem 2: Jack bought 3 basketballs.
- Number Bond: \(7 \times 3 = 21\) or \(21 \div 7 = 3\)

3. Number Bonds:
- Addition/Subtraction:
- \(6 + 4 = 10\)
- \(9 + 6 = 15\)
- Multiplication/Division:
- \(4 \times 6 = 24\) or \(24 \div 4 = 6\)
- \(5 \times 6 = 30\) or \(30 \div 5 = 6\)

Thus, the final answer is:
\[
\boxed{14 \text{ and } 3}
\]