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3-Digit by 2-Digit MultiplicationFREEWorksheet Generator(Grades 5-6)

3-Digit by 2-Digit Multiplication worksheets with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems for Grades 5–6.

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Set A • 10 Qs

PanMaths.com3-Digit by 2-Digit Multiplication Worksheets • Set A (Medium)

Name: __________________________

Date: _____________ Period: ____

Score: _____ / 10

926

×31

281

×46

139

×94

559

×97

306

×78

793

×74

605

×27

157

×55

825

×14

653

×28

PanMaths.com • Free Math Worksheet Generator • Set A (Medium)Page 1 of 2

PanMaths.comAnswer Key & Worked Solutions • Set A (Medium)

Answer Key

Total Problems: 10

926

×31

28706

1. Multiply by Ones Digit (1): 926 × 1 = 926

2. Multiply by Tens Digit (3 × 10): 926 × 30 = 27780

3. Sum Partial Products: 926 + 27780 = 28706 ✅

281

×46

12926

1. Multiply by Ones Digit (6): 281 × 6 = 1686

2. Multiply by Tens Digit (4 × 10): 281 × 40 = 11240

3. Sum Partial Products: 1686 + 11240 = 12926 ✅

139

×94

13066

1. Multiply by Ones Digit (4): 139 × 4 = 556

2. Multiply by Tens Digit (9 × 10): 139 × 90 = 12510

3. Sum Partial Products: 556 + 12510 = 13066 ✅

559

×97

54223

1. Multiply by Ones Digit (7): 559 × 7 = 3913

2. Multiply by Tens Digit (9 × 10): 559 × 90 = 50310

3. Sum Partial Products: 3913 + 50310 = 54223 ✅

306

×78

23868

1. Multiply by Ones Digit (8): 306 × 8 = 2448

2. Multiply by Tens Digit (7 × 10): 306 × 70 = 21420

3. Sum Partial Products: 2448 + 21420 = 23868 ✅

793

×74

58682

1. Multiply by Ones Digit (4): 793 × 4 = 3172

2. Multiply by Tens Digit (7 × 10): 793 × 70 = 55510

3. Sum Partial Products: 3172 + 55510 = 58682 ✅

605

×27

16335

1. Multiply by Ones Digit (7): 605 × 7 = 4235

2. Multiply by Tens Digit (2 × 10): 605 × 20 = 12100

3. Sum Partial Products: 4235 + 12100 = 16335 ✅

157

×55

8635

1. Multiply by Ones Digit (5): 157 × 5 = 785

2. Multiply by Tens Digit (5 × 10): 157 × 50 = 7850

3. Sum Partial Products: 785 + 7850 = 8635 ✅

825

×14

11550

1. Multiply by Ones Digit (4): 825 × 4 = 3300

2. Multiply by Tens Digit (1 × 10): 825 × 10 = 8250

3. Sum Partial Products: 3300 + 8250 = 11550 ✅

653

×28

18284

1. Multiply by Ones Digit (8): 653 × 8 = 5224

2. Multiply by Tens Digit (2 × 10): 653 × 20 = 13060

3. Sum Partial Products: 5224 + 13060 = 18284 ✅

PanMaths.com • Answer Key & Worked SolutionsPage 2 of 2

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Worksheet Info

Categoryarithmetic

Grade LevelGrades 5-6

DifficultyIntermediate to Advanced

Time15-25 min

Skills Practiced

✓ 3-digit by 2-digit multiplication
✓ Multi-digit partial products
✓ Large number addition

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Mastering 3-Digit by 2-Digit Multiplication: Core Concepts & Mental Models

3-Digit by 2-Digit Multiplication worksheets with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems for Grades 5–6.

⚠️ Common Mistakes & Teacher Fixes

⚠️Carrying to the Wrong Place Value

Why students stumble: When multiplying a 3-digit number (hundreds, tens, ones), students carry into the hundreds column instead of the tens column during step 1.

Teacher Fix: Follow the place-value sequence: ones × ones ➔ carry to tens; ones × tens ➔ carry to hundreds.

Example: In 246 × 7: 7 × 6 = 42 (carry 4 to tens). 7 × 4 = 28 + 4 = 32 (carry 3 to hundreds).

⚠️Omitting the Placeholder Zero on Row 2

Why students stumble: Forgetting that multiplying by the tens digit is multiplying by a multiple of 10 causes answers to be off by a factor of ~10.

Teacher Fix: Always write the placeholder zero in the ones place of the second row before multiplying.

Example: In 325 × 42: multiplying by 4 represents multiplying by 40 ➔ 13,000, not 1,300.

❓ Frequently Asked Questions

What is the grade level for 3-digit by 2-digit multiplication?

3-digit by 2-digit multiplication is a core Grade 5 standard (CCSS.MATH.CONTENT.5.NBT.B.5) and is reviewed in Grade 6 for fluency.

How many partial product rows are there?

Because the multiplier has 2 digits (ones and tens), there are exactly 2 partial product rows followed by a final sum line.

Are answer keys included with the printable PDFs?

Yes! Every worksheet includes a full answer key on Page 2 with both partial product evaluation rows.

The Multi-Digit Standard Multiplication Algorithm

3-digit by 2-digit multiplication is the culmination of elementary place-value arithmetic, preparing students for algebra and scientific notation:

Row 1: Multiply the 3-digit top number by the ones digit of the bottom number.
Row 2: Write a placeholder 0 in the ones place, then multiply the top number by the tens digit of the bottom number.
Final Step: Add the two partial products using column addition to get the total product (typically in the 10,000 to 90,000 range).

💡 1. Estimate Before Multiplying

Round both numbers to check your answer: 482 × 29 ≈ 500 × 30 = 15,000. Your final answer should be approximately 14,000–15,000.

💡 2. Track Carried Numbers Cleanly

Write row 1 carries above the problem; write row 2 carries below row 1 or lightly cross out row 1 carries.

💡 3. Align All 5 Digit Columns

Products can have up to 5 digits (ten-thousands place). Keep columns strictly straight to avoid addition errors.

The Multi-Digit Standard Multiplication Algorithm

3-digit by 2-digit multiplication is the culmination of elementary place-value arithmetic, preparing students for algebra and scientific notation:

Row 1: Multiply the 3-digit top number by the ones digit of the bottom number.
Row 2: Write a placeholder 0 in the ones place, then multiply the top number by the tens digit of the bottom number.
Final Step: Add the two partial products using column addition to get the total product (typically in the 10,000 to 90,000 range).

Benefits of Mastery

📈 Multi-Digit Fluency

Prepares students for Grade 5 and 6 standardized math examinations.

📐 Wide Pencil Workspace

Ample vertical workspace prevents crowded partial product additions.

✅ Dual-Set Anti-Cheat

Set A and Set B provide differentiated problem values for honest classroom practice.

🔑 Complete Answer Keys

Step-by-step intermediate lines show both partial products and the final sum.