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Pascal's triangle was originally devised as a means of determining binomial coefficients: when calculating (x+y)^n, Pascal's triangle is a very convenient way to find the coefficients of the result. Go to the xth row of Pascal's triangle, and use the numbers as coefficients for each term. E.g., (x+y)^4 would be found on the 4th row, the coefficients 1-4-6-4-1. Thus (x+y)^4 = 1(x^4) + 4(x^3)y + 6(xy)^2 + 4x(y^3) + 1(y^4). Pascal later discovered the triangle's use for determining probabilities as well, and mathematicians since have found myriad other uses for it.
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Name of mechanical calculator invented in 1645 by Blaise Pascal?
Pascaline
The second mechanical calculator invented in 1645 by Blaise Pascal?
Pascaline
What was the name of the second mechanical calculator invented in 1645 by Blaise Pascal?
Pascaline
What did blaise pascal invent in 1645?
the calculator
When did Pascal Blaise make his invention?
1642 - 1645
Why did Pascal create the first calculator in 1645?
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Why did pascal invent the first calculatorin 1645?
Blaise Pascal invented the first mechanical calculator, known as the Pascaline, in 1645 primarily to help his father, who was a tax collector, perform calculations more efficiently. Pascal aimed to simplify the tedious arithmetic involved in tax calculations and improve accuracy in financial tasks. His invention marked a significant advancement in computing technology, laying the groundwork for future mechanical calculators.
Why did pascal invent the calculater in 1645?
Blaise Pascal invented the mechanical calculator in 1645, known as the Pascaline, to help his father, who was a tax collector, with his calculations. Pascal aimed to create a device that could simplify and speed up the process of arithmetic operations, particularly addition and subtraction. His invention was one of the earliest attempts at creating a calculating machine, demonstrating his interest in mathematics and engineering. Ultimately, the Pascaline laid the groundwork for future developments in computing technology.
Why did Pascal invent the first calcutor in 1645?
Blaise Pascal invented the first mechanical calculator, known as the Pascaline, in 1645 primarily to help his father, who was a tax collector, perform complex arithmetic calculations more efficiently. Pascal aimed to create a device that could reduce the burden of manual calculations and improve accuracy in financial records. His invention marked a significant step in the development of computing devices and laid the groundwork for future innovations in mathematics and engineering.
Why did Pascal invent the first calculator in 1645?
Pascal had the idea to invent the calculator while observing and aiding his father's official work as supervisor of taxes at Rouen. He saw what a strenuous and complicated it was to do the math, so he decided to make a device that would simplify the process.
Could the first mechanical calculator add subtract mulitply and divide?
No, the very first mechanical calculators could only add and subtract. The first mechanical calculators were invented in 1623 by Wilhelm Schickard, followed by the Pascaline, invented in 1645 by Blaise Pascal. However, calculators that could multiply and divide were in use by the 19th century.
Why did pascal invent the first calculator in1645?
Blaise Pascal invented the first mechanical calculator, known as the Pascaline, in 1645 to help his father, who was a tax collector, perform arithmetic calculations more efficiently. At the time, manual calculations were tedious and prone to error, so Pascal aimed to create a device that could simplify the process of addition and subtraction. His invention marked a significant advancement in computing technology, laying the groundwork for future developments in calculators and computing devices.
