A Story of Numbers MATHS - A Story of Numbers

What numbers do these numerals stand for?

What numbers do these numerals stand for?

Add the following numeral that are in the base-5 system that we created :

Add the following Egyptian numeral :

Add the following Egyptian numeral :

A group of indigenous people in a Pacific island use different sequences of number names to count different objects. Why do you think they do this?

Try adding the following numbers without converting them to Hindu numerals : LXXXVII + LXXVIII

Represent the following numbers in the Egyptian system : 10458, 1023, 2660, 784, 1111, 70707.

What could be the difficulties with using a number system that counts only in groups of a single particular size? How would you represent a number like 1345 in a system that counts only by 5s?

Consider the extension of the Gumulgal number system beyond 6 in the same way of counting by 2s. Come up with ways of performing the different arithmetic operations (+, –, ×, ÷) for numbers occurring in this system, without using Hindu numerals. Use this to evaluate the following :
(ukasar-ukasar-ukasar-ukasar-ukasar-ukasar-ukasar-ukasar) ÷ (ukasar-ukasar)

Consider the extension of the Gumulgal number system beyond 6 in the same way of counting by 2s. Come up with ways of performing the different arithmetic operations (+, –, ×, ÷) for numbers occurring in this system, without using Hindu numerals. Use this to evaluate the following :
(ukasar-ukasar-ukasar-ukasar-urapon) × (ukasar-ukasar)

Consider the extension of the Gumulgal number system beyond 6 in the same way of counting by 2s. Come up with ways of performing the different arithmetic operations (+, –, ×, ÷) for numbers occurring in this system, without using Hindu numerals. Use this to evaluate the following :
(ukasar-ukasar-ukasar-ukasar-urapon) – (ukasar-ukasar- ukasar)

Consider the extension of the Gumulgal number system beyond 6 in the same way of counting by 2s. Come up with ways of performing the different arithmetic operations (+, –, ×, ÷) for numbers occurring in this system, without using Hindu numerals. Use this to evaluate the following :
(ukasar-ukasar-ukasar-ukasar-urapon) + (ukasar-ukasar- ukasar-urapon)

Represent the following numbers in the Roman system.
715

Identify the features of the Hindu number system that make it efficient when compared to the Roman number system.

How will you multiply two numbers given in Roman numerals, without converting them to Hindu numerals? Try to find the product of the following pairs of landmark numbers : V × L, L × D, V × D, VII × IX.

Suppose you are using the number system that uses sticks to represent numbers, as in Method 1. Without using either the number names or the numerals of the Hindu number system, give a method for adding, subtracting, multiplying and dividing two numbers or two collections of sticks.