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...family, they note the debt on a piece of paper headed ‘IOU’ (I owe you). Thomas puts the ‘IOUs’ into his piggy bank. IOUs represent a negative amount of money (or debts). Now suppose, at another time, Thomas’s piggy bank contains an IOU for £3 when Thomas receives a gift of £5 to add to his piggy bank. £3 of this pays off the IOU and he has £2 left in the...

...History and Theory of the Heavens. Today, our understanding of protoplanetary discs stems from experimental observations and theoretical models of the behaviour of gases in the gravitational fields of stars...The formation of exoplanets: 1.1 Observations of protoplanetary discs - The presence of discs around newborn stars is a natural consequence of the collapse of the...

...family and employers, and on social media. Badges are a great motivation, helping you to reach the end of the course. Gaining a badge often boosts confidence in the skills and abilities that underpin successful study. So, completing this course should encourage you to think about taking other courses, for example enrolling at a college for a formal qualification. (You...

...family go on holiday together. They each pay £155. What is the total cost of the holiday? You make an insurance claim worth £18 950. The insurance company pays you £12 648. What is the difference between what you claimed and what you actually received? You go to the local café and buy a coffee for £2.35, a tea for £1.40 and a croissant for £1.85. How much do you...

...family and employers, and on social media. Badges are a great motivator, helping you to reach the end of the course. Gaining a badge often boosts confidence in the skills and abilities that underpin successful study. So, completing this course should encourage you to think about taking other courses. ['Discovering chemistry' digital badge] Getting a badge is...