Decomposition of Numbers

Decomposition of Numbers

The breaking up of numbers into parts either through addition (and subtraction), multiplication (and division) or both.

Partitioning of Numbers

The breaking up of numbers by addition (and subtraction)

$$A=a_1+a_2+a_3+\dots +a_{\mathrm{n}}$$

For example:

$$725=700+20+5$$

This can be useful when adding numbers:

$$725+483=700+20+5+400+80+3$$ $$=700+400+20+80+5+3$$ $$=1100+100+8$$ $$=1208$$

Factorisation of Numbers

• Prime Factor Decomposition from mathsisfun.com
• Prime factor decomposition

Warm-up:

prime numbers

Practice Questions

Textbook Exercise

A Number as a Dividend

$$\mathrm{dividend}=\mathrm{quotient}\times \mathrm{divisor}+\mathrm{remainder}$$

Follow-on study:

HCF and LCM from helpwithfractions.com;

Modular Arithmetic from khanacademy.org;

Partial Fractions from alevelmaths.co.uk