Multiplying 2-Digit by 2-Digit Numbers for 4th Grade

Multiplying 2-Digit by 2-Digit Numbers for 4th Grade

To multiply two two-digit numbers, find four partial products and add them, which is what the standard algorithm compresses into two rows. The examples below show the area model beside the algorithm, so you can see where each row comes from, with practice problems.

DETAILED EXPLANATION

To multiply two 2-digit numbers, use the standard algorithm: multiply by the ones digit of the second number, then by the tens digit (writing with a zero in the ones place), then add the two partial products.

WORKED EXAMPLES WITH STEP BY STEP SOLUTIONS

Example 1

Multiply 24 × 13.

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Solutions:

Step 1: Apply the concept from the lesson above.

Step 2: Carry out the operation or reasoning.

Answer: 24×3=72; 24×10=240; 72+240=312.

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