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Number · Integers, powers & roots

Chapter 1 · 3

The idea

Place value and putting numbers in order

What each digit in a whole number or a decimal is worth, how to write a number in words and in figures, why multiplying or dividing by 10, 100 or 1000 moves the digits and not the point, and how to put whole numbers, decimals, negative numbers, fractions and percentages in order, read a scale on a number line, and use the signs <, >, ≤ and ≥.

A full journey — read it, play with it, work it, then earn real exam marks. Everything stays on the timeline below.

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Number · Integers, powers & roots

Place value and putting numbers in order

What each digit in a whole number or a decimal is worth, how to write a number in words and in figures, why multiplying or dividing by 10, 100 or 1000 moves the digits and not the point, and how to put whole numbers, decimals, negative numbers, fractions and percentages in order, read a scale on a number line, and use the signs <, >, ≤ and ≥.

Why it works

What a digit is worth

A school weather station measured 0.70.7 cm of rain on Monday, 0.650.65 cm on Tuesday and 0.6080.608 cm on Wednesday. Which day was the wettest?

Most people say Wednesday, because 608608 looks biggest. It was Monday. The reason lies in what each digit is worth.

The station's website had 30 47230\,472 visits this year. The column each digit sits in gives it its value.

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The rest of the explanation, plus 4 worked examples you step through move by move.

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