Solve multiplication word problems

Multiplication word-problem solving involves interpreting a situation as a multiplicative relationship—such as equal groups, arrays, area, or scaling—and identifying the quantities, units, and roles of the factors and product. It includes representing and solving situations with multi-digit whole numbers, decimals, and fractions, distinguishing multiplication from addition or division, and checking the result for reasonable magnitude and units; variables, negative numbers, and more advanced algebraic modeling are outside this scope.

Detailed Explanation: Solve multiplication word problems

When a word problem describes equal groups, use multiplication.

Look for:

Number of groups
Amount in each group
Total amount, which is the product

Example

A school has $24$ boxes of pencils. Each box contains $18$ pencils. How many pencils are there altogether?

1. Identify the quantities and units.

$24$ boxes = number of groups
$18$ pencils per box = amount in each group
The answer will be in pencils

Because every box has the same number of pencils, this is a multiplication problem.

2. Write a multiplication equation.

24 \times 18 = \text{number of pencils}

3. Multiply.

\begin{aligned} 24 \times 18 &= 24 \times (10+8)\\ &= (24 \times 10)+(24 \times 8)\\ &= 240+192\\ &= 432 \end{aligned}

4. Write the answer with its unit.

There are $432$ pencils altogether.

5. Check whether the answer is reasonable.

Since $18$ is close to $20$ , estimate:

24 \times 20=480

The exact answer, $432$ , is close to $480$ , so it is reasonable.

Learn by doing: Solve multiplication word problems

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Multiplication and Division Word Problems (Small Integers)

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