Multiplication and Division Word Problems

Word problems help us use math in the real world. In third grade, you will often use multiplication and division to solve problems involving equal groups, sharing, and comparing.

Multiplication: Equal Groups

You use multiplication when you know the number of groups and the number of items in each group, and you need to find the total.

Example: Each box has $6$ crayons. There are $4$ boxes. How many crayons are there in total?

• Groups: $4$ boxes
• Items per group: $6$ crayons
• Equation: $4 \times 6 = 24$

There are $24$ crayons in total.

Division: Sharing and Grouping

You use division when you already know the total number of items and you need to split them equally.

Example: $24$ students split into $3$ equal teams. How many students are on each team?

• Total: $24$ students
• Number of groups: $3$ teams
• Equation: $24 \div 3 = 8$

There are $8$ students on each team.

Comparison Problems

Sometimes, word problems use phrases like "times as many" to compare two things. This is a clue to multiply!

Example: A cat weighs $5$ pounds. A dog weighs $3$ times as much as the cat. How much does the dog weigh?

• Equation: $3 \times 5 = 15$

The dog weighs $15$ pounds.

Tips for Solving Word Problems

1. Look for Clue Words:
   • Multiply: "each", "total", "in all", "times as many".
   • Divide: "share equally", "split", "per", "each gets".
2. Draw a Picture: If you get stuck, draw circles to represent groups and put dots inside to represent the items.
3. Check Your Answer: Does your answer make sense? If you are splitting a big number of items, your answer should be smaller than the total!