d give an improper fraction. C1 C1 for clear explanation of easy But any decimal with n recurring digits can be changed to a fraction by multiplying by 10n and eliminating the C1 C1 for clear explanation of more difficult infinite part. C1 C1 for clear explanation for any recurring decimal = 2.727 a 272….. 100a = 272.7272……. 100a = 270 – a M1 M1 for correct method of converting recurring decimal 99a = 270 to fraction = a = a 27.27272….. e 100a = 2727.272……. A1 cao 100a = 2700 a – 99a = 2700 = which is × 10 A1 cao a C1 C1 clear communication of full answer. 11
d e give an improper fraction. But any decimal with n recurring digits can be changed to a fraction by multiplying by 10n and eliminating the infinite part. a = 2.727 272….. 100a = 272.7272……. 100a – a = 270 99a = 270 a = a = 27.27272….. 100a = 2727.272……. 100a – a = 2700 99a = 2700 a = which is × 10 C1 C1 C1 M1 A1 A1 C1 C1 for clear explanation of easy C1 for clear explanation of more difficult C1 for clear explanation for any recurring decimal M1 for correct method of converting recurring decimal to fraction cao cao C1 clear communication of full answer. 11
Higher_Skills_Number_MarkScheme_Edexcel.docx