Year 5 Long Multiplication: lesson and practice

By the end of this chapter you will be able to

• Multiply whole numbers and decimals by 10, 100 and 1,000 by moving the digits
• Multiply in your head using known facts, partitioning, doubling and halving, factors and compensation
• Multiply a number with up to 4 digits by a one-digit number using the formal written method (short multiplication)
• Multiply a number with up to 4 digits by a two-digit number using the grid method and long multiplication
• Estimate answers by rounding and use estimates and other checks to decide if an answer is sensible
• Solve scaling, rate and combination problems, and problems about area, squares and cubes
• Understand the equals sign, solve missing-number and multi-step problems, and explain your reasoning

You should already know

• Times tables up to 12 × 12 and the matching division facts
• Multiplying 2- and 3-digit numbers by a one-digit number, and by 10 and 100 (Year 4)
• Multiples, factors, squares and cubes (Year 5 Chapter 3)
• Place value for numbers up to 1,000,000 and for decimals (Chapter 1)

Where this leads

• Division, which is the inverse of multiplication (Chapter 5)
• Multiplying fractions and mixed numbers by whole numbers (Chapter 6)
• Decimals and percentages (Chapter 7)
• Area and volume (Chapter 8)
• Long multiplication and the order of operations in Year 6