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2-Digit by 2-Digit MultiplicationFREEWorksheet Generator(Grades 4-5)

2-Digit by 2-Digit Multiplication worksheets with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems for Grades 4–5.

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Set A • 10 Qs

PanMaths.com2-Digit by 2-Digit Multiplication Worksheets • Set A (Medium)

Name: __________________________

Date: _____________ Period: ____

Score: _____ / 10

×20

×24

×36

×33

×11

×17

×46

×76

×44

×12

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

×20

1920

1. Multiply by Ones Digit (0): 96 × 0 = 0

2. Multiply by Tens Digit (2 × 10): 96 × 20 = 1920

3. Sum Partial Products: 0 + 1920 = 1920 ✅

×24

1968

1. Multiply by Ones Digit (4): 82 × 4 = 328

2. Multiply by Tens Digit (2 × 10): 82 × 20 = 1640

3. Sum Partial Products: 328 + 1640 = 1968 ✅

×36

2556

1. Multiply by Ones Digit (6): 71 × 6 = 426

2. Multiply by Tens Digit (3 × 10): 71 × 30 = 2130

3. Sum Partial Products: 426 + 2130 = 2556 ✅

×33

1221

1. Multiply by Ones Digit (3): 37 × 3 = 111

2. Multiply by Tens Digit (3 × 10): 37 × 30 = 1110

3. Sum Partial Products: 111 + 1110 = 1221 ✅

×11

814

1. Multiply by Ones Digit (1): 74 × 1 = 74

2. Multiply by Tens Digit (1 × 10): 74 × 10 = 740

3. Sum Partial Products: 74 + 740 = 814 ✅

×17

1003

1. Multiply by Ones Digit (7): 59 × 7 = 413

2. Multiply by Tens Digit (1 × 10): 59 × 10 = 590

3. Sum Partial Products: 413 + 590 = 1003 ✅

×46

4140

1. Multiply by Ones Digit (6): 90 × 6 = 540

2. Multiply by Tens Digit (4 × 10): 90 × 40 = 3600

3. Sum Partial Products: 540 + 3600 = 4140 ✅

×76

7372

1. Multiply by Ones Digit (6): 97 × 6 = 582

2. Multiply by Tens Digit (7 × 10): 97 × 70 = 6790

3. Sum Partial Products: 582 + 6790 = 7372 ✅

×44

3960

1. Multiply by Ones Digit (4): 90 × 4 = 360

2. Multiply by Tens Digit (4 × 10): 90 × 40 = 3600

3. Sum Partial Products: 360 + 3600 = 3960 ✅

×12

204

1. Multiply by Ones Digit (2): 17 × 2 = 34

2. Multiply by Tens Digit (1 × 10): 17 × 10 = 170

3. Sum Partial Products: 34 + 170 = 204 ✅

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

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Worksheet Info

Categoryarithmetic

Grade LevelGrades 4-5

DifficultyStandard to Challenging

Time15-20 min

Skills Practiced

✓ 2-digit by 2-digit products
✓ Partial products method
✓ Multi-step regrouping

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Related Worksheets

📄 2-Digit by 1-Digit MultiplicationView →📄 3-Digit by 1-Digit Long DivisionView →📄 3-Digit by 2-Digit MultiplicationView →📄 AdditionView →📄 Adding Decimals (Tenths, Hundredths & Column Regrouping)View →📄 Dividing Decimals (Whole Numbers & Decimal Divisors)View →

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

2-Digit by 2-Digit Multiplication worksheets with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems for Grades 4–5.

⚠️ Common Mistakes & Teacher Fixes

⚠️Forgetting the Placeholder Zero on the Second Row

Why students stumble: When multiplying by the tens digit (e.g., the 3 in 24 × 35), students forget that 3 represents 30, omitting the zero in the ones column.

Teacher Fix: Rule of thumb: "Drop a zero in the ones spot before multiplying the tens digit!"

Example: In 46 × 23: when multiplying by 2 (which is 20), the second row must start with 0 ➔ 920, not 92.

⚠️Adding Carried Numbers to the Wrong Partial Product Row

Why students stumble: Carried digits from the first multiplication row get left above the problem and mistakenly added during the second row.

Teacher Fix: Cross out carried numbers once the first row is complete, or write row 2 carries on a separate scratch line.

Example: In 37 × 45: cross out the carried 3 from (5 × 7 = 35) before multiplying by 40.

❓ Frequently Asked Questions

How do you multiply two 2-digit numbers step by step?

Multiply the top number by the bottom ones digit to get partial product 1. Next, put a placeholder 0 in the ones place and multiply the top number by the bottom tens digit to get partial product 2. Finally, add the two partial products together.

What grade is 2-digit by 2-digit multiplication taught in?

In the US Common Core curriculum, 2-digit by 2-digit multiplication is introduced in Grade 4 (CCSS.MATH.CONTENT.4.NBT.B.5) and practiced for fluency in Grade 5.

Do these worksheets provide room for scratchwork?

Yes! Our worksheets use the 10-problem ergonomic standard (2 columns × 5 rows) providing over 40mm of vertical pencil workspace for student hand calculations.

The 3-Step Standard Algorithm for Double-Digit Multiplication

2-digit by 2-digit multiplication requires combining two single-digit multiplications with column addition:

Row 1 (Multiply by Ones): Multiply the top 2-digit number by the bottom ones digit. Record any carries above the tens column.
Row 2 (Drop Zero & Multiply by Tens): Write a 0 in the ones place of the second line. Then multiply the top number by the bottom tens digit.
Row 3 (Add Partial Products): Add the two partial product rows together using standard column addition to find the final product.

Area Model vs. Standard Algorithm

Before mastering the vertical algorithm, students often use the box/area model to decompose numbers by place value (e.g. 34 × 26 = (30 + 4) × (20 + 6)). Our worksheets bridge this understanding by presenting step-by-step partial product breakdown lines on every answer key.

💡 1. Never Forget the Placeholder Zero

Before multiplying by the bottom tens digit, write a zero in the ones column of the second row immediately.

💡 2. Cross Out Old Carried Digits

Once row 1 is finished, draw a light slash through carried digits so you do not accidentally add them to row 2.

💡 3. Keep Columns Strictly Straight

Slanted handwriting leads to adding ones into tens. Keep ones, tens, hundreds, and thousands in straight vertical lines.

The 3-Step Standard Algorithm for Double-Digit Multiplication

2-digit by 2-digit multiplication requires combining two single-digit multiplications with column addition:

Row 1 (Multiply by Ones): Multiply the top 2-digit number by the bottom ones digit. Record any carries above the tens column.
Row 2 (Drop Zero & Multiply by Tens): Write a 0 in the ones place of the second line. Then multiply the top number by the bottom tens digit.
Row 3 (Add Partial Products): Add the two partial product rows together using standard column addition to find the final product.

Area Model vs. Standard Algorithm

Benefits of Mastery

🔢 2-Step Partial Products

Mastering the transition from single-digit multiplication to multi-step column products.

⭕ Placeholder Zero Habit

Prevents the #1 most common arithmetic error on standardized tests.

📄 4 Differentiated Sets

Set A foundational, Set B anti-cheat, Set C high digits, and Set D timed sprint.

🔍 Detailed Answer Key

Every problem on Page 2 includes both partial product rows and the final product.