• Study Resource
  • Explore
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Profile Documents Logout
Upload
Condition numbers; floating point
Condition numbers; floating point

... If t5 and t6 are not small but t5 − t6 is small, the relative error in t7 could be quite large – even though the absolute error remains small. This effect of a large relative error due to a small result in a subtraction is called cancellation. In this case, if the relative error is one or larger, th ...
Example - begatafeTPC
Example - begatafeTPC

... Move the point two digits right: 732. However, since all the digits fall to the left of the decimal point, the answer is a whole number, 732, which we write without a decimal point. ...
here
here

... * Your TI-93 calculator has the round function which you can use to get the correct result. Find round by pressing the math key and moving to NUM. Its use is round(num, no of decimal places desired), e.g. round(2.746,1) =2.7. ** Your book will show intermediate results rounded off. Don’t use these r ...
Primitive Number Types
Primitive Number Types

... The single-precision floating-point type, with 4 bytes a range of about ±1038 and about 7 significant decimal digits The character type, representing code units 2 bytes in the Unicode encoding scheme The type with the two truth values false and 1 byte true ...
NAMES FOR NUMBERS ESTIMATION STRATEGIES
NAMES FOR NUMBERS ESTIMATION STRATEGIES

... Rounding Numbers Rounding creates numbers that are easier to work with in your head. Use rounding to get an answer that is close but that does not have to be exact. To round numbers, look at the digit to the right of the place you are rounding to. If it is 4 or less, round down by changing it and al ...
Signed Rationals
Signed Rationals

... top. Line up the other number underneath, at the right. Multiply Count the number of decimal places (from the right) in each factor. Use the total number of decimal places in your two factors to place the decimal in your product. ...
Arithmetic
Arithmetic

... Note: most embedded systems deal with physical input and output (medical data, mechanical quantities, temperature, concentration of a material in a mixture, etc.) Data is typically analog and so has fractional part and a measured precision (or error range). Typically analog data will be converted to ...
M5.1.1 - Round and estimate using whole numbers and decimals
M5.1.1 - Round and estimate using whole numbers and decimals

... b. What was the total attendance for all of the play performances? ...
Week 1
Week 1

... • If a negative numbers is multiplied or divided by a negative number, then the answer is positive. • If a negative numbers is multiplied or divided by a positive number, then the answer is negative. • If a positive numbers is multiplied or divided by a negative number, then the answer is negative. ...
Radical Expressions and Graphs
Radical Expressions and Graphs

... 3) If the index (n) is odd then there is exactly one nth root of (a) which is n a , for example: ...
Floating-point computation Real values
Floating-point computation Real values

... „ For the same reason, the order of caclulation may affect the result Š the small values in the array Y sum up to a value that is significant when added to the large value in X ...
One_2
One_2

... • Based on the fact if the numerator (top #) and the denominator (bottom #) of a fraction are equal, than the value of the fraction is equal to 1. • Based on the fact that multiplying a measurement by one will not change the value of that measurement. ...
1-1 Integers & Abs Value
1-1 Integers & Abs Value

... level. Represent these two situations using numbers. ...
Click here for 4th grade GPS Math Study Guide
Click here for 4th grade GPS Math Study Guide

... Rounding/estimating numbers o If the digit after the one being rounded is less than 5 (0, 1, 2, 3 or 4), we round down. o If the digit after the one being rounded is 5 or more (5, 6, 7, 8, or 9), we round up.  round to the nearest thousand: 5,633 = 6,000  round to the nearest hundred: 4,311 = 4,30 ...
Uncertainties
Uncertainties

... precise one) and will determine the overall number of significant figures. In some cases, you may to have to express the number in scientific notation in order to express the number to the least precise measurement. For example: 24.696 + 1.17 = ...
Shady Side Academy Middle School Math Review Packet for
Shady Side Academy Middle School Math Review Packet for

... 4 2 9 0  Since you are really multiplying by 10 (not 1!!) you place a zero ...
Additive Inverses
Additive Inverses

... integers • Add a positive integer by moving to the ___________on the number line • Add a negative integer by moving to the ________ on the number line • Subtract an integer by adding its opposite ...
PowerPoint Presentation 1: Whole Numbers
PowerPoint Presentation 1: Whole Numbers

... o Determine place value to which the number is to be rounded o Look at the digit immediately to its right  If the digit to the right is less than 5, replace that digit and all following digits with zeros  If the digit to the right is 5 or more, add 1 to the digit in the place to which you are roun ...
2.8 Floating point numbers and round
2.8 Floating point numbers and round

... to xa, although some computers chop x to get xa. Example 2. If a computation is done is using seven decimal digits of precision, then the number x = 1/3 would be approximated by xa = 3.333333  10-1 = 0.3333333. The absolute error between the number x = 1/3 and xa = 0.3333333 is 1/3  10-7 and the r ...
Week-03.2
Week-03.2

... x104  standard representation x105 ...
Decimal Number System (1)
Decimal Number System (1)

... significant digits, truncate the number at the new LSD and add a times value or words so that the number of significant digits is correct.  If you want 3 significant digits, then: 654321 becomes 654000 which becomes 654 x 1000 or 654 thousand.  3456789 becomes 3460000 which becomes 346 x 10000 or ...
IEEE 754 double precision properties
IEEE 754 double precision properties

... • Chopping: Store x as c, where |c| < |x| and no machine number lies between c and x. • Rounding: Store x as r, where r is the machine number closest to x. • IEEE standard arithmetic uses rounding. ...
Document
Document

... Computer arithmetic is generally inexact. ...
Year 7 - Bedford Free School
Year 7 - Bedford Free School

... The basic idea of multiplying is repeated addition. ...
UNIT 1: REAL NUMBERS Equivalent fractions Two fractions are
UNIT 1: REAL NUMBERS Equivalent fractions Two fractions are

... There are three different types of decimal number: exact, recurring and other decimals. An exact or terminating decimal is one which does not go on forever, so you can write down all its digits. For example: 0.125 A recurring decimal is a decimal number which do not stop after a finite number of dec ...
< 1 ... 9 10 11 12 13 14 >

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.
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report