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Mathematics · Number and place value
KS2 SATs 2017 — Maths Paper 1: Arithmetic
A free preview from the Athena Learning Library — the same lesson registered students learn from.
In this lesson: You will learn to multiply a multi-digit number by a two-digit number using long multiplication.
The idea
Long multiplication breaks one big multiplication into two easier ones. To multiply by a two-digit number, first multiply by its ones digit, then multiply by its tens digit, and finally add the two answers together.
The key detail is the zero. When you multiply by the tens digit, you are really multiplying by a number of tens, so write a zero in the ones column of that row first. This holds the place and keeps every digit worth the right amount.
Keep each row tidy and line the digits up in columns. Before you start, estimate: round one number and multiply mentally, so you know roughly how big the answer should be. If your finished answer is nowhere near your estimate, check each row again.
Worked example
Work out 247 × 36.
- Multiply by the ones: 247 × 6 = 1,482.
- Multiply by the tens: 247 × 30 = 7,410. Write this row below, ending in the tens column.
- Add the two rows: 1,482 + 7,410 = 8,892.
Answer: 8,892
Watch out
- Forgetting the zero in the ones column when multiplying by the tens digit.
- Adding the two rows before both rows are complete.
Quick check
Try these on your own first — then reveal each answer.
1. Work out 134 × 24.
2. Work out 56 × 43.
Practise this concept
Reading is the first step — the concept sticks when your child answers questions on it. Registered students practise graded questions for this lesson, with instant marking and worked explanations, and the lesson is marked complete in their progress.