Quick quiz on inverse operations: Division and multiplication

📚 Quick Study Guide

• 🔢 Inverse Operations: Multiplication and division are inverse operations, meaning one undoes the other.
• ✖️ Multiplication: Combining equal groups. For example, $3 \times 4 = 12$ means 3 groups of 4 equals 12.
• ➗ Division: Splitting into equal groups. For example, $12 \div 3 = 4$ means 12 split into 3 groups equals 4 in each group.
• 💡 Relationship: If $a \times b = c$, then $c \div a = b$ and $c \div b = a$. This shows how they are directly related.
• 📝 Example 1: If $5 \times 6 = 30$, then $30 \div 5 = 6$.
• ➕ Example 2: If $7 \times 8 = 56$, then $56 \div 7 = 8$.
• 🔑 Key Fact: Understanding this relationship allows you to solve for missing factors or quotients in equations.

Practice Quiz

1. What is the inverse operation of $9 \times 4 = 36$?
1. $36 + 4$
2. $36 - 4$
3. $36 \div 4$
4. $9 + 4$


2. Solve for x: $x \times 6 = 42$
1. $x = 6$
2. $x = 7$
3. $x = 8$
4. $x = 9$


3. What number, when divided by 5, equals 7?
1. $12$
2. $2$
3. $35$
4. $40$


4. Which equation is the inverse of $63 \div 9 = 7$?
1. $63 - 9 = 54$
2. $9 + 7 = 16$
3. $9 \times 7 = 63$
4. $63 + 9 = 72$


5. If $11 \times 3 = 33$, what is $33 \div 11$?
1. $33$
2. $11$
3. $3$
4. $1$


6. Solve for y: $56 \div y = 8$
1. $y = 6$
2. $y = 7$
3. $y = 8$
4. $y = 9$


7. What is the missing number in the equation: $8 \times ? = 72$?
1. $7$
2. $8$
3. $9$
4. $10$