$$ (2 \times 60^2$) + (2 \times 60^1$) + (2 \times 60^0$) $$

Question 1

Which numeration system is depicted in the first three images, and what is the value represented in the first image?

Accepted Answer

Babylonian numeration system; value is 40

Question 2

In the Babylonian numeration system, what is the value represented by the symbols in the second image?

Accepted Answer

$$ 22 $$

Question 3

Given the third image, what is the Hindu-Arabic value represented by the Babylonian numerals shown?

Accepted Answer

$$ 122 $$

Question 4

In the fourth image, what is the value represented by the Babylonian numerals and what does the small triangle symbol indicate?

Accepted Answer

Value is 62; triangle indicates zero

Question 5

The fifth image shows a Mayan numeral. What is the Hindu-Arabic value represented?

Accepted Answer

$$ 4022 $$

Question 6

Which numeration system uses dots, bars, and shells as symbols, as shown in the fifth image?

Accepted Answer

Mayan numeration system

Question 7

If you see four lightbulb images in a row, as in the last four images, which base system could this represent and what is the value?

Accepted Answer

Base 1; value is 4

Question 8

In the Mayan numeration system, what is the value of a single dot, a single bar, and a shell symbol?

Accepted Answer

Dot = 1, Bar = 5, Shell = 0

Question 9

Which numeration system is positional and uses digits 0-9, as described in the study materials?

Accepted Answer

Hindu-Arabic numeration system

Question 10

If a Babylonian numeral has two wedge symbols and three arrowhead symbols, what is the value in Hindu-Arabic numerals?

Accepted Answer

$$ 33 $$

Question 11

Which of the following statements about the Mayan numeration system is correct?

Accepted Answer

It has place values but not a consistent base.

Question 12

In the Babylonian numeration system, what is the base and how is zero represented?

Accepted Answer

Base 60; zero is represented by spaces or a placeholder.

Question 13

If you convert the Babylonian numeral shown in the third image to expanded form, what would it look like?

Accepted Answer

$$ (2 	imes 60^2$) + (2 	imes 60^1$) + (2 	imes 60^0$) $$

Question 14

Which numeration system uses alphabetical letters for digits greater than 9?

Accepted Answer

Hindu-Arabic numeration system in bases above 10

Question 15

If you see a Mayan numeral with two dots above a shell, what is the value?

Accepted Answer

Question 16

Which numeration system is most likely to use the symbols shown in the first four images?

Accepted Answer

Babylonian numeration system

Systems of Numeration: Hindu-Arabic, Babylonian, Mayan, and Base Conversions

Study Guide - Practice Questions