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## Topic 3: Place value (Integers)

An integer is a whole number.

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When an integer is multiplied by 10, each digit is multiplied by 10.

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Example: 23 × 10 = 230

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All of the digits have moved by one column to the left, and the units column is now empty.

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When an integer is multiplied by 100, each digit is multiplied by 100.

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Example: 15 × 100 = 1 500

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All of the digits have moved by two columns to the left, and the units and tens columns are now empty.

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When an integer is multiplied by 1 000, each digit is multiplied by 1 000.

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Example: 6 × 1 000 = 6 000

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All of the digits have moved by three columns to the left, and the hundreds, units and tens columns are now empty.

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When an integer is divided by 10, each digit is divided by 10.

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Example: 380 ÷ 10 = 38

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All of the digits have moved by one column to the right.

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When an integer is divided by 100, each digit is divided by 100.

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Example: 4 900 ÷ 100 = 49

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All of the digits have moved by two columns to the right.

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When an integer is divided by 1 000, each digit is divided by 1 000.

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Example: 5 000 ÷ 1 000 = 5

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All of the digits have moved by three columns to the right.

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