Multiply whole numbers: word problems

Read the Problem Carefully:

  • Identify and underline the numbers and keywords.
  • Determine what is being asked and the operation needed.

Identify Keywords:

  • Words like “total,” “each,” “per,” and “in all” often indicate multiplication.

Break Down the Problem:

  • Convert the word problem into a mathematical expression or equation.
  • Identify the multiplicand (number to be multiplied) and the multiplier (number by which to multiply).

Set Up the Multiplication:

  • Write down the numbers to be multiplied.
  • Choose the appropriate multiplication method (e.g., column method, grid method).

Solve the Problem:

  • Perform the multiplication.
  • Double-check calculations for accuracy.

Write the Answer:

  • Ensure the answer is in the context of the problem.
  • Include units (e.g., dollars, items, etc.) if applicable.

Check the Reasonableness:

  • Estimate the result to ensure it makes sense with the problem’s context.
  • Reevaluate if the answer seems unreasonable or incorrect.

Example Problem:

Problem: A school is organizing a field trip for 8 classes. Each class has 25 students. How many students are going on the field trip in total?

Solution Steps:

  1. Read the Problem: Identify the number of classes and students per class.
  2. Keywords: “total” and “each” indicate multiplication.
  3. Break Down:
  • Multiplicand: 25 (students per class)
  • Multiplier: 8 (number of classes)
  1. Set Up the Multiplication: 25 × 8
  2. Solve:
  • (25 times 8 = 200)
  1. Write the Answer: There are 200 students going on the field trip.
  2. Check Reasonableness: Estimate: 20 × 8 = 160; 200 is a reasonable result.

Learn with an example

🗼 Carson made 6 pans of brownies. He cut each pan into 38 brownies.

​ ______ brownies

There were 6 pans, each of which was cut into 38 brownies. Multiply:

Carson ended up with 228 brownies.

🗼 A soda company makes 4 kinds of soda. A grocery store chain ordered 9,241 bottles of each kind of soda.

​_____ bottles of soda

There are 4 kinds of soda, and the store ordered 9,241 bottles of each. Multiply:

The grocery store chain ordered 36,964 bottles of soda.

🗼 A carpet store has 6 commercials every hour on a local television station.

​_______ commercials

There are 82 hours, each of which has 6 commercials. Multiply:

The store shows 492 commercials in 82 hours.

Let’s practice!🖊️