Grade 4 Multiplication (Multi-digit) - Medium
A medium grade 4 worksheet for Multiplication.
Worksheet snapshot
- Multiplication (multi-digit)
- Key concepts: Understanding core multiplication (1-10) concepts for Grade 4; Applying multiplication (1-10) strategies appropriate to Grade 4
- Students develop fluency with multiplication (1-10) at Grade 4 level, applying strategies more independently and solving increasingly complex problems.
- Apply it: Multiplication (1-10) at the Grade 4 level connects to everyday situations students encounter: problem-solving in daily life, making sense of quantities and relationships, and building mathematical literacy for future learning.
- 8 × 1 =
- 1 × 0 =
- 1 × 6 =
About Multiplication (1-10)
Multiplication represents repeated addition or combining equal groups. Students develop understanding of multiplication as both an operation and a mathematical concept, building from concrete models to abstract symbol manipulation and automatic fact recall.
Multiplication is essential for advanced arithmetic, fractions, algebra, area and volume, and countless real-world applications. It represents a fundamental shift from additive to multiplicative thinking, which underlies proportional reasoning and most higher mathematics.
Multiplication (multi-digit)
Multiply up to 2-digit by 1-digit and 2-digit by 2-digit numbers using area/partial products and the standard algorithm.
This medium level worksheet:
Multiply a 2-digit by 1-digit with regrouping; begin 2-digit by 2-digit using area/partial products and estimate to check.
Key Concepts
- Place value and partial products
- Area models linking to algorithms
- Regrouping tens and hundreds
- Estimate to check reasonableness
Prerequisite skills
Fluent 0–10 facts; add/subtract within 1,000; understand arrays and area models.
Teaching Strategies
Start with area models/partial products, then connect to the compact algorithm; annotate regrouping; require estimation before and after; compare two methods for the same problem.
Assessment ideas
Test multiplication fact fluency with timed checks. Include word problems requiring students to recognize when to multiply. Ask students to model multiplication with arrays or groups. Have students explain strategies for unknown facts using known facts.
Common Challenges
Misaligning place value; dropping a partial product; forgetting to add regrouped tens/hundreds; ignoring estimation.
Real-World Applications
Finding total cost for multi-packs, area of rectangles, and scaling recipes or sets.
Extension Activities
Solve word problems that mix multiply + add; compare area model vs. standard algorithm; design a rectangle tiling to match a product.
Parent Tips
Have your child estimate products first, then compute and compare; ask them to explain both the area model and the standard steps.