, MIP1501 ASSIGNMENT 4 ANSWERS - DUE DATE 22 JULY 2026
Question 1
1.1 (8 marks)
Parents often ask why learners should study ancient number systems when modern
mathematics mainly uses the Hindu-Arabic number system. According to the South
African CAPS Mathematics curriculum, learning about ancient number systems is not
intended to replace the Hindu-Arabic system but to help learners understand how
mathematics developed over time and how different cultures contributed to mathematical
knowledge (DBE, 2011).
From a real-life relevance perspective, I would explain that learners encounter different
number systems in everyday life without always noticing them. For example, Roman
numerals are still used on clocks, in the names of monarchs such as King Charles III, in
movie sequels, sporting events like the Olympic Games, and chapter numbering in books.
During a classroom activity, learners could compare Roman numerals with Hindu-Arabic
numbers by identifying the numbers on a clock face and converting them into modern
numerals. This practical activity demonstrates that ancient number systems continue to
have relevance in contemporary society while helping learners recognise that
mathematics is part of human history and culture (DBE, 2011).
In terms of conceptual understanding, studying ancient number systems strengthens
learners' understanding of place value, symbols, and methods of representing numbers.
For instance, learners could compare the Egyptian additive system with the Hindu-Arabic
place-value system by writing the same number, such as 2 346, using both systems.
Through this comparison, learners discover why the Hindu-Arabic system is more
efficient for calculations and understand the importance of place value in performing
Question 1
1.1 (8 marks)
Parents often ask why learners should study ancient number systems when modern
mathematics mainly uses the Hindu-Arabic number system. According to the South
African CAPS Mathematics curriculum, learning about ancient number systems is not
intended to replace the Hindu-Arabic system but to help learners understand how
mathematics developed over time and how different cultures contributed to mathematical
knowledge (DBE, 2011).
From a real-life relevance perspective, I would explain that learners encounter different
number systems in everyday life without always noticing them. For example, Roman
numerals are still used on clocks, in the names of monarchs such as King Charles III, in
movie sequels, sporting events like the Olympic Games, and chapter numbering in books.
During a classroom activity, learners could compare Roman numerals with Hindu-Arabic
numbers by identifying the numbers on a clock face and converting them into modern
numerals. This practical activity demonstrates that ancient number systems continue to
have relevance in contemporary society while helping learners recognise that
mathematics is part of human history and culture (DBE, 2011).
In terms of conceptual understanding, studying ancient number systems strengthens
learners' understanding of place value, symbols, and methods of representing numbers.
For instance, learners could compare the Egyptian additive system with the Hindu-Arabic
place-value system by writing the same number, such as 2 346, using both systems.
Through this comparison, learners discover why the Hindu-Arabic system is more
efficient for calculations and understand the importance of place value in performing
