Multiplying · Grade 6

In Grade 6 you learn: multiplying large numbers in problems.

Multiplying puts equal groups together. Once numbers get bigger than the times tables, we split them into parts and multiply each part: the area model, short multiplication and long multiplication.

Key facts

  • Area model: split both numbers into tens and ones, multiply each pair, then add.
  • Short multiplication: multiply each digit by the single digit, starting with the ones, and carry.
  • Long multiplication: multiply by the ones digit, then by the tens (put a 0 first), then add the rows.
  • Estimate first by rounding each number; if your answer is far from the estimate, check your working.

Worked examples

Example 1

24 × 3

Answer: 72

Example 2

367 × 4

Answer: 1,468

Example 3

46 × 23

Answer: 1,058

Example 4

Work out 326 × 47.

Answer: 15,322

Example 5

A theatre has 46 rows with 28 seats in each row. Every seat is sold for 15 shows. How many tickets is that?

Answer: 19,320 tickets

Example 6

Estimate, then work out 4,906 × 38.

Answer: 186,428

Other years