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Multiplication

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Multiplication and division

Multiplication

Multiplying finds the total when you have equal groups. An array shows this clearly as rows and columns.

6 columns4 rows4 × 6 = 24

How to multiply bigger numbers

1. Estimate first (round each number) to check your answer later. 2. To multiply by a 2-digit number, split it into tens and ones. 3. Multiply by each part, then add the answers together.

Worked examples

By a 1-digit number: 400 × 9

  1. Estimate: 400 × 10 = 4000.
  2. 4 × 9 = 36, then add the two zeros.

Answer: 400 × 9 = 3600

By a 2-digit number: 56 × 27

  1. Estimate: 60 × 30 = 1800.
  2. Split 27 into 20 and 7: 56 × 20 = 1120 and 56 × 7 = 392.
  3. Add the two answers: 1120 + 392 = 1512.

Answer: 56 × 27 = 1512

Where you see this in real life

  • Working out the total mass of many identical boxes.
  • Counting tins packed in trays and boxes in a warehouse.
  • How many times a hummingbird beats its wings in a minute.

Key words

Product
The answer when two or more numbers are multiplied together. For example, the product of 3 and 5 is 15.
Estimate
A sensible guess of about how big an answer should be.
Array
Objects arranged in equal rows and columns.