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Q.2 Multiplication word problems with factors up to 12

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What are multiplication word problems?

A multiplication word problem is a story or situation that describes a real-world scenario where you need to use multiplication to find the answer. The numbers you multiply are called factors, and the answer is called the product.

Example:
  • Ms. Chen’s class is planting flowers. There are 4 rows with 6 flowers in each row. How many flowers are there in total?
  • This is a multiplication problem: 4 rows × 6 flowers per row.
Note

Look for words like each, per, total, in all, altogether, times, and product as clues that you might need to multiply.

Identifying the parts of a problem

To solve a word problem, you must first find the two factors. One factor often tells you how many groups there are. The other factor tells you how many are in each group.

Steps:
  • Step 1: Find the number of groups. (Example: 5 bags)
  • Step 2: Find how many are in one group. (Example: 8 marbles in each bag)
  • Step 3: Write the multiplication equation. 5 × 8 = ?
Note

Sometimes the order of the factors doesn't matter for the final product (5 × 8 gives the same answer as 8 × 5), but understanding groups and items per group helps you make sense of the story.

Solving different types of problems

Multiplication can be used in different situations: combining equal groups, arranging objects in an array (rows and columns), or comparing amounts.

Problem types:
  • Equal groups: "A baker places 3 cookies on each of 9 trays. How many cookies are there?" (9 × 3)
  • Arrays: "Chairs in an auditorium are arranged in 7 rows of 4. How many chairs?" (7 × 4)
  • Comparison: "Maria has 4 times as many stickers as Ben. Ben has 5 stickers. How many does Maria have?" (4 × 5)
Note

Drawing a picture, like circles for groups or dots in an array, is a powerful strategy to help you visualize and solve the problem.

Writing the equation and finding the product

After understanding the problem, write a multiplication equation with the factors (both up to 12). Then, use strategies like repeated addition, skip-counting, or known facts to find the product.

Example:
  • Problem: A pack of markers has 12 markers. The school store has 6 packs. How many markers total?
  • Equation: 6 packs × 12 markers per pack = ?
  • Solution Strategy: 12 + 12 + 12 + 12 + 12 + 12 = 72, or knowing 6 × 12 = 72.
  • Answer: There are 72 markers.
Note

Always remember to write your answer with a unit (like "markers," "chairs," or "flowers") to show you understand what the product represents in the story.

Checking your work

A good mathematician always checks their answer. See if your final product makes sense with the story. You can also check by using the inverse operation, division.

How to check:
  • If you solved 8 × 11 = 88, check by asking: "If 88 total items are split into 8 equal groups, does each group have 11?" (88 ÷ 8 = 11).
  • Estimate: 8 × 11 is close to 8 × 10 = 80. Since 88 is close to 80, the answer is reasonable.
Note

Taking a moment to check your answer can help you catch simple mistakes and build confidence in your problem-solving skills.