Averaging, Errors and Uncertainty
... Errors are quantified by associating an uncertainty with each measurement. For example, the best estimate of a length is 2.59cm, but due to uncertainty, the length might be as small as 2.57cm or as large as 2.61cm. can be expressed with its uncertainty in two different ways: 1. Absolute Uncer ...
... Errors are quantified by associating an uncertainty with each measurement. For example, the best estimate of a length is 2.59cm, but due to uncertainty, the length might be as small as 2.57cm or as large as 2.61cm. can be expressed with its uncertainty in two different ways: 1. Absolute Uncer ...
Writing Decimals as Fractions
... To ADD & SUBTRACT mixed numbers do the following: 1. Write the fractions as improper fractions 2. Write fractions using the LCD. 3. Add or subtract the numerators 4. Simplify if necessary ...
... To ADD & SUBTRACT mixed numbers do the following: 1. Write the fractions as improper fractions 2. Write fractions using the LCD. 3. Add or subtract the numerators 4. Simplify if necessary ...
Chapter 1: Sets, Operations and Algebraic Language
... Scientific Notation Very large and very small numbers that include trailing or leading zeros are easier to read when they are expressed in scientific notation. For example: 32,000,000 is written as 3.2 107 in scientific notation and 0.00000408 is written as 4.08 10 6 in scientific notation How ...
... Scientific Notation Very large and very small numbers that include trailing or leading zeros are easier to read when they are expressed in scientific notation. For example: 32,000,000 is written as 3.2 107 in scientific notation and 0.00000408 is written as 4.08 10 6 in scientific notation How ...
Quadratic Equations - UNL Math Department
... Here are some key divisibility facts about integers a, b, c, d. 1) If a|b, then it is also true that a|bc. 2) Transitivity: If a|b and b|c, then it is also true that a|c. 3) The 2 out of 3 Idea: Given a nonzero integer d, it is possible to find examples of numbers a, b, c such that a + b = c, and d ...
... Here are some key divisibility facts about integers a, b, c, d. 1) If a|b, then it is also true that a|bc. 2) Transitivity: If a|b and b|c, then it is also true that a|c. 3) The 2 out of 3 Idea: Given a nonzero integer d, it is possible to find examples of numbers a, b, c such that a + b = c, and d ...
Test - Mu Alpha Theta
... 25. Three circles, each with radius of length 4, are positioned such that each circle passes through the centers of the other two circles. What is the total amount of area enclosed in the figure by only one circle or by all three of the circles? In other words, do not count any area enclosed by exac ...
... 25. Three circles, each with radius of length 4, are positioned such that each circle passes through the centers of the other two circles. What is the total amount of area enclosed in the figure by only one circle or by all three of the circles? In other words, do not count any area enclosed by exac ...
(N-1)!
... We introduce algorithms via a "toy" problem: computation of Fibonacci numbers. It's one you probably wouldn't need to actually solve, but simple enough that it's easy to understand and maybe surprising that there are many different solutions. ...
... We introduce algorithms via a "toy" problem: computation of Fibonacci numbers. It's one you probably wouldn't need to actually solve, but simple enough that it's easy to understand and maybe surprising that there are many different solutions. ...
10th Real Numbers test paper 2011
... What type of decimal expansion will 69/60 represent? After how many places will the decimal expansion terminate? ...
... What type of decimal expansion will 69/60 represent? After how many places will the decimal expansion terminate? ...
Maths Calculation Policy - The Batt C of E Primary School
... section shows the progression of written calculation methods for each operation starting from simple methods and progressing to more advanced ones. Children will progress through the stages according to their mathematical knowledge and understanding rather than year group. ...
... section shows the progression of written calculation methods for each operation starting from simple methods and progressing to more advanced ones. Children will progress through the stages according to their mathematical knowledge and understanding rather than year group. ...
Powerpoint of Notes
... (≠ 0) digit, write the rest of the nonzero numbers after the decimal, and multiply this by 10 to the power of the number of jumps it would take to make the original number (right jumps = positive exponent and left jumps = negative exponent). __._____ x 10 ___ decimal jumps it would take to make th ...
... (≠ 0) digit, write the rest of the nonzero numbers after the decimal, and multiply this by 10 to the power of the number of jumps it would take to make the original number (right jumps = positive exponent and left jumps = negative exponent). __._____ x 10 ___ decimal jumps it would take to make th ...
Validating the Dozenal Measure of Angle
... exactly six equilateral triangles with a common vertex can fill the circle. In fact, we can tile the equilateral triangle to fill up an infinite plane just like the square. We can make equilateral triangle “graph paper”. In trigonometry, the cosine of 60° (π/3 radians) is exactly ½. Because the equi ...
... exactly six equilateral triangles with a common vertex can fill the circle. In fact, we can tile the equilateral triangle to fill up an infinite plane just like the square. We can make equilateral triangle “graph paper”. In trigonometry, the cosine of 60° (π/3 radians) is exactly ½. Because the equi ...
Maths Glossary - Rushbury CE Primary School
... a graph which is used to represent discrete data on bars or rows like a bar chart, but categories of discrete data are represented by lines supporting face of a shape (at the bottom) one outcome is favoured over another (making it more likely to be chosen) 2 lines which intersect at their half way p ...
... a graph which is used to represent discrete data on bars or rows like a bar chart, but categories of discrete data are represented by lines supporting face of a shape (at the bottom) one outcome is favoured over another (making it more likely to be chosen) 2 lines which intersect at their half way p ...
Approximations of π
Approximations for the mathematical constant pi (π) in the history of mathematics reached an accuracy within 0.04% of the true value before the beginning of the Common Era (Archimedes). In Chinese mathematics, this was improved to approximations correct to what corresponds to about seven decimal digits by the 5th century.Further progress was made only from the 15th century (Jamshīd al-Kāshī), and early modern mathematicians reached an accuracy of 35 digits by the 18th century (Ludolph van Ceulen), and 126 digits by the 19th century (Jurij Vega), surpassing the accuracy required for any conceivable application outside of pure mathematics.The record of manual approximation of π is held by William Shanks, who calculated 527 digits correctly in the years preceding 1873. Since the mid 20th century, approximation of π has been the task of electronic digital computers; the current record (as of May 2015) is at 13.3 trillion digits, calculated in October 2014.