Real-world examples: Division with remainders and multiplication facts (Grade 4)

📚 Quick Study Guide

• ➗ Division with Remainders: When you divide one number by another, sometimes it doesn't divide evenly. The amount left over is called the remainder. For example, $14 \div 3 = 4$ with a remainder of $2$.
• ✖️ Multiplication Facts: Knowing your multiplication facts (like $6 \times 7 = 42$) makes division much easier. If you know your times tables, you can quickly figure out how many times one number goes into another.
• 📝 Remainders Must Be Smaller: The remainder is always smaller than the number you are dividing by (the divisor). If the remainder is equal to or larger than the divisor, you can divide further.
• 💡 Using Multiplication for Division: Think of division as the opposite of multiplication. If you're dividing $20 \div 4$, ask yourself, "What number times 4 equals 20?" The answer is 5.
• ➕ Checking Your Work: You can check your division by multiplying the quotient (the answer) by the divisor and adding the remainder. It should equal the dividend (the number you divided). Example: $(4 \times 3) + 2 = 14$.

✍️ Practice Quiz

1. What is $25 \div 4$?

   1. 6 remainder 1
   2. 5 remainder 5
   3. 4 remainder 9
   4. 7 remainder 0

2. If you have 32 stickers and want to share them equally among 5 friends, how many stickers will each friend get, and how many will be left over?

   1. 6 stickers each, 2 left over
   2. 5 stickers each, 7 left over
   3. 7 stickers each, 1 left over
   4. 4 stickers each, 12 left over

3. What is $7 \times 8$?

   1. 48
   2. 54
   3. 56
   4. 63

4. A baker makes 45 cookies and wants to put them into boxes of 8 cookies each. How many full boxes can she make, and how many cookies will be left over?

   1. 5 boxes, 5 left over
   2. 6 boxes, 0 left over
   3. 4 boxes, 13 left over
   4. 5 boxes, 6 left over

5. What is $53 \div 6$?

   1. 7 remainder 8
   2. 8 remainder 5
   3. 9 remainder 1
   4. 6 remainder 11

6. What is $9 \times 6$?

   1. 54
   2. 63
   3. 72
   4. 45

7. You have 67 beads and want to make bracelets with 9 beads each. How many bracelets can you make, and how many beads will you have left?

   1. 6 bracelets, 13 left over
   2. 8 bracelets, 4 left over
   3. 7 bracelets, 4 left over
   4. 5 bracelets, 22 left over