lesson 2 babylonian mathematics

48問 • 1年前

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The greatness of Babylon as an ancient city is well documented in various texts such as the Old Testament and the accounts of great historians like ____.

herodotus

The greatness of Babylon as an ancient city is well documented in various texts such as the ___ and the ____

old testament and accounts of great historians like herodotus

Some powerful figures from this ancient babylonian civilization were____ and ___

1. Hammurabi 2. Nebuchadnezzar

who were responsible for building spectacular architectural wonders such as palaces during their reign.

Hammurabi and Nebuchadnezzar

have a sense of scale and grandeur

1. The Hanging Gardens of Babylon 2. Euphrates Valley

made it one of the world's ancient wonders.

1. The Hanging Gardens of Babylon 2. Euphrates Valley

Experts say that Babylonian mathematics, specifically their ___, is not always aligned to ours.

geometry

Their Geometry seems to be exact, and ours are simply approximates.

babylonian geometry

The Babylonian civilization traces its roots to ____(date) with the ___ (people and place)

4k BCE Sumerians in Mesopotamia

it is regarded as the Cradle of Human Civilization.

The fertile land between Tigris and Euphrates valleys

is where humanity first began to develop urban centers for agriculture, irrigation, and many other innovations

The fertile land between Tigris and Euphrates valleys

they developed the earliest known pictographic writing system known as cuneiform script.

early sumerians

Sumerians moved away from___

semi-nomadic existence

earliest known pictographic writing system

cuneiform script.

cuneiform script =

the earliest known pictographic writing system

What thing does sumerians used as their writing material

abundant valley clay

is wedge-shaped writing owing to its appearance to the stylus that was used to make

cuneiform

Shape of cuneiform

wedge-shaped

What was used to make cuneiform

stylus

Info. The early Sumerians moved from using separate token or symbols to represent sheaves of wheat, jars of oil, etc. to the more abstract character for specific numbers or anything.

Abstract concept for writing numbers:

Represent 1

small clay cone

Represent 10

clay sphere

Represent 60

sizeablecone

Where does Babylonian text originated

clay tablets the size of a palm

Kinds of mathematical tablets:

1. table-texts 2. problem texts.

____suggests that Babylonians may have known the secret of right-angled triangles many centuries even before the Greek Pythagoras.

Plimpton 322 Clay Tablet 1.8k BCE

The tablet appears to list 15 Pythagorean triangles with whole-number sides, although some claim that they were academic exercises and not indicators of Pythagorean triples.

Plimpton 322 Clay Tablet 1800BCE

Babylonian mathematics is primarily known for the development of the Babylonian Numeral System, which started in ___(place)

mesopotamia

we still divide a circle into 360 degrees that is 60 multiplied by 6 and count 60 minutes in an hour and 60 seconds in a minute.

sexagesimal system

used for weights and measures, astronomy, and the development of mathematical functions.

sexagesimal system

For numbers greater than 60, the ____ is used.

Sexagesimal numbering or notation

This method made its way into Greece and became the mathematicians' favored language.

base 6 method

____is a combination of numbers and base sixty place value, wherein the place values are separated by comma/s.

sexagesimal notation

😑🖕🙂👩‍⚕️❌

= 14723, that is (4 × 602) + (5 × 60) + (23 × 1) = 14,723

Cuneiform numerals:

as their placeholder to help separate the place value of a given numeral.

For them, this is not a zero, but we can say that this has the function of a zero for our purposes.

the placeholder

What was used as a separation mark

zero

astronomical tables were extensively computed, Babylonians started to use a symbol for zero, which had earlier been used as a separation mark. (Date)

Seleucid period

____are written like terminating sexagesimal fractions and others cannot

regular numbers

The place where Babylonian Mathematics was developed.

mesopotamia

What separates the place values in a sexagesimal notation?

comma

Sexagesimal, also known as base 60 or sexagenary, is a numeral system with sixty as its base. It originated with the ___

ancient sumerian

Where did the sexagesimal place-value system originate?

mesopotamia

Where did archaeologist and historians find the evidence of the many records of Babylonian civilization which allowed them to delve into the past and explore mathematical techniques of these people.

clay tablets

Sumerians were able to use their geometry in many things during their time except for this.

farming

that states the sum of the sides of a right triangle equals the square of the hypotenuse was established as far as the Old-Babylonian era is concerned.

Pythagorean theorem

MATH finals Module 8 Quantifiers and Negations

ユーザ名非公開 · 7問 · 2年前

MATH finals Module 8 Quantifiers and Negations