MATH 140 In Class Exercise on Number Bases Names________________________

1. Express each of the following as a base 10 numeral:

a) 343₅ = ________ b) 343₇ = _______ c) 642₇ = ________ d) 2021₃ = ________

2. Express each of the following as a base 5 numeral:

a) 63 = _______ b) 158 = ________ c) 704 = ________ d) 2000 = _________

3. Express each of the following as a base 7 numeral:

a) 28 = __________ b) 53 = _________ c) 100 = _________ d) 370 = _________

4. In the space below count from 1₅ to 100₅. Then circle all the numerals that are even numbers. (Be careful.) Can you find a pattern that will allow you to find even numbers easily?

5. In the space below count from 1₇ to 34₇. Then circle all the numbers that are divisible by 3. Can you find a pattern here?