Demystifying Maths

Structure and calculation · 14 lessons

Make sense of the digits, then use them to calculate. Follow the place values through addition, subtraction, multiplication and division.

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14 lessons to explore

Understanding numbers

What each digit is worth in integers and decimals, and zeros as place-holders.

Ordering numbers, including negatives and decimals of different lengths.

The less-than, greater-than, at-most, at-least and not-equal signs.

The effect on every digit of multiplying or dividing by 10, 100, 0.1 and 0.01.

Adding integers and decimals in columns, lining up the point and carrying.

Subtracting in columns with exchange, lining up decimals of different lengths.

Subtracting when a column holds a zero, and where the exchange comes from.

Multiplying multi-digit integers, and the place-holder zero in the second row.

Multiplying as whole numbers, then counting decimal places to fix the point.

Dividing by a one-digit number, carrying each remainder into the next digit.

Whether a worded answer wants a remainder, a decimal, a fraction or rounding.

Dividing by a two-digit number, continuing past the point for an exact answer.

Scaling both numbers by the same power of ten, and why the answer can grow.

Related products and quotients from a stated result, without recalculating.

Written methods · Exam practice