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Mathematics Summer Session: Transition Math Chapter 1 Notes
Mathematics Summer Session: Transition Math Chapter 1 Notes

... Take, for instance, the fraction 48/84. We must find the biggest number that goes into both 48 and 84. This takes some practice, but try first writing down all the factors that go into each number. The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The factors of 84 are: 1, 2, 3, 4, 6, 14, ...
doc - Fairmont State College
doc - Fairmont State College

... In calculating 1/q for enough positive integers to form a conjecture as to whether the decimal expansion will terminate or repeat our conjecture was any fraction where q did not consist of a 2 or a 5 or both repeated. Calculations are as follows: ...
Notes 1 - Significant Figures and Rounding.
Notes 1 - Significant Figures and Rounding.

... one significant figure after decimal point round off to 90.4 two significant figures after decimal point round off to 0.79 ...
Floating-Point Arithmetic: Precision and Accuracy with Mathematica
Floating-Point Arithmetic: Precision and Accuracy with Mathematica

... throughout computations. On the other hand, arbitrary-pecision numbers can contain any number of digits, and their precision is adjusted during computations; as we will see later, this implementation is based on the ideas of interval arithmetic. Machine-precision numbers make direct use of the numer ...
2Integers and Rounding
2Integers and Rounding

... difference between the number obtained by round-off to the nearest ten and the exact number is 5, which is half of 10, and for round off to the nearest thousandth it is .0005, which is half of thousandth (.001). An important application of round-off and maximum round-off error is in the interpretati ...
Introduction to MATLAB® for NUMERICAL ANALYSIS
Introduction to MATLAB® for NUMERICAL ANALYSIS

...  Due to use of approximations to represent exact mathematical procedures  Introduced when a more complicated mathematical expression is replaced with a more elementary formula  Due to using finite number of steps in computation  Present even with infinite-precision arithmetic, because it is caus ...
Some Functions Computable with a Fused-mac
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... error estimation), ulp(x). We may also, for some calculations, need to know if the last bit of the significand of a number is a zero [4]. These various functions can always be computed at a low level, using masks and integer arithmetic: this results in software that is not portable, and sometimes qui ...
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Measurement - tamchemistryhart
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... • Precision = the agreement of two or more measurements that have been made in the same way (reproducibility) ...
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Unit 2 Integers

... Quotients (Page 92-94)  When rounding make sure you look at the number after the number place you are rounding to.  Example: If I asked you to round to the nearest tenths spot and your number was 2.34 you need to look at the number after the tenths spot to decide if you are round up or down (keepi ...
Measurement SI AandP
Measurement SI AandP

... 2. If the digit to be rounded is followed by 6,7,8, or 9 – round up the digit 3. If the digit to be rounded is followed by a 5 with any digits of value anywhere behind the 5 – round up the digit 4. If the digit to be rounded is followed by only a 5 or a 5 with no numbers of value behind the 5 – odd ...
Use Square Root
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... Other uses of irrational numbers are when using sine bars or when using the Pythagorean Theorem a2 + b2 = a2. In these cases, the frequently irrational answer must be approximated. In these situations, standard practice is to round to the nearest ten-thousandth or hundred-thousandth of an inch (the ...
No Slide Title
No Slide Title

... want to keep is 5 exactly: some people say always round up; others say round up or down to give an even number (to reduce slight errors that can occur if you have lots of numbers that are rounded up). Examples: 2.5 rounds to 3 or to 2 550 rounds to 600 0.00150 to 1 significant figures rounds to 0.00 ...
Lecture 6 Instruction Set Architectures
Lecture 6 Instruction Set Architectures

...  Significand M normally a fractional value in range [1.0,2.0).  Exponent E weights value by power of two ...
Fractions have been fun to learn about
Fractions have been fun to learn about

... 0.75. If I wove that decimal over two spots it would become 75%! Cake! This brings me to a helpful hint that Ms. Simpson told us in class. Anytime the denominator is a 4, just think about quarters! We all love money! Another thing that we learned we can do with fractions is round them to the nearest ...
Lesson 1 - Integers and the Number Line
Lesson 1 - Integers and the Number Line

... Integers: positive and negative whole numbers (what you see on a number line). - Are negative and positive whole numbers (they don’t have decimals and are not fractions) - Zero is also considered an integer ...
Numeracy Posters - Hyndland Secondary School
Numeracy Posters - Hyndland Secondary School

... Significant Figures Examples Like rounding, significant figures are a way to give a rough estimate of an amount. As we increase the significant figures, the measurement becomes more accurate. To round whole numbers:  count in the number of sig figs from the LEFT.  Round this number up or down  c ...
Percentages - Cleveden Secondary School
Percentages - Cleveden Secondary School

... Significant Figures Examples Like rounding, significant figures are a way to give a rough estimate of an amount. As we increase the significant figures, the measurement becomes more accurate. To round whole numbers:  count in the number of sig figs from the LEFT.  Round this number up or down  c ...
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... 3. If 4 daps are equivalent to 3 dops, and 2 dops are equivalent to 7 dips, how many daps are equivalent to 42 dips? 4. A student added up the first 100 positive integers. However, instead of getting 5050 like he was supposed to, he accidentally switched the two digits of one of the integers and got ...
Chapter 2 –Math Skills
Chapter 2 –Math Skills

... Rules for rounding numbers: 1. < 5, don’t round up 2. ≥ 5, round up 3. Don't change the magnitude of the number – use placeholder zeroes Consider the value $35,699. Rounding this value to three significant figures would result in the value $35,700, not $357. If this were your money in the bank would ...
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Rounding

Rounding a numerical value means replacing it by another value that is approximately equal but has a shorter, simpler, or more explicit representation; for example, replacing £23.4476 with £23.45, or the fraction 312/937 with 1/3, or the expression √2 with 1.414.Rounding is often done to obtain a value that is easier to report and communicate than the original. Rounding can also be important to avoid misleadingly precise reporting of a computed number, measurement or estimate; for example, a quantity that was computed as 123,456 but is known to be accurate only to within a few hundred units is better stated as ""about 123,500.""On the other hand, rounding of exact numbers will introduce some round-off error in the reported result. Rounding is almost unavoidable when reporting many computations — especially when dividing two numbers in integer or fixed-point arithmetic; when computing mathematical functions such as square roots, logarithms, and sines; or when using a floating point representation with a fixed number of significant digits. In a sequence of calculations, these rounding errors generally accumulate, and in certain ill-conditioned cases they may make the result meaningless.Accurate rounding of transcendental mathematical functions is difficult because the number of extra digits that need to be calculated to resolve whether to round up or down cannot be known in advance. This problem is known as ""the table-maker's dilemma"".Rounding has many similarities to the quantization that occurs when physical quantities must be encoded by numbers or digital signals.A wavy equals sign (≈) is sometimes used to indicate rounding of exact numbers. For example: 9.98 ≈ 10.
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