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Significant Figure Rules
Significant Figure Rules

... 2.5 has two significant figures while 3.42 has three. Two significant figures is less precise than three, so the answer has two significant figures. Example #2: How many significant figures will the answer to 3.10 x 4.520 have? You may have said two. This is too few. A common error is for the studen ...
WORKSHOP: Matter and Working with Significant Figures
WORKSHOP: Matter and Working with Significant Figures

... The following rules apply to determining the number of significant figures in a measured quantity: 1. All NONZERO digits ARE significant: 457 cm (three significant figures) 0.25 g (two significant figures). 2. IMBEDDED ZEROS (between nonzero digits) ARE significant 1005 kg (four significant figures) ...
IEEE floating point
IEEE floating point

... IEEE Standard 754 floating point is the most common representation today for real numbers on computers, including Intel-based PC's, Macintoshes, and most Unix platforms Limited range and precision (finite space) Overflow means that values have grown too large for the representation, much in the same ...
Models and Examples More Examples Guided Practice 0 10 20 30
Models and Examples More Examples Guided Practice 0 10 20 30

... If your number is half way to the next 10, round up. If your number is one-third of the way to the next 10, round up. If your number has a 1, 2, 3, or 4 in the one’s place, the closest 10 is to the left on the number line. ...
Maths Assessment Year 6: Number and Place Value
Maths Assessment Year 6: Number and Place Value

... 1. Read, write, order and compare numbers up to 10 000 000 and determine the value of each digit. 2. Round any whole number to a required degree of accuracy. 3. Use negative numbers in context, and calculate intervals across zero. 4. Solve number and practical problems. ...
Use fraction notation to describe parts of shapes
Use fraction notation to describe parts of shapes

... Convert a percentage to a fraction Recognise the equivalence of percentages, fractions and decimals Calculate a number or amount as a percentage of another 5.1 - The mode, Find the mode, median and range of a small set of discrete data median and range Recognise when it is appropriate to use the med ...
Floating-Point Arithmetic in Matlab
Floating-Point Arithmetic in Matlab

... The result is an exceptional floating-point value called infinity or Inf. It is represented by taking e = 1024 and f = 0 and satisfies relations like 1/Inf = 0 and Inf+Inf = Inf. If any computation tries to produce a value that is undefined even in the real number system, the result is an exceptiona ...
Student Matrix for Number
Student Matrix for Number

... number using halving or deriving from an addition fact I know: 1/3 of 12 is 4 because 3+3+3=9 so ...
Represent Integers d) 4045 4 f) +8 Represent Quantities With Integers
Represent Integers d) 4045 4 f) +8 Represent Quantities With Integers

... on December 31 is "zero hour." Times before zero hour on December 31 are negative. Times after zero hour on January 1 are positive. Complete the table. The first line is completed for you. ...
Maths Stage 5 Help Sheet
Maths Stage 5 Help Sheet

... S5/16 Multiply fractions Multiply is the same as repeated addition ...
Helping your child in mathematics at Stage 5
Helping your child in mathematics at Stage 5

... 5/16 Multiply fractions Multiply is the same as repeated addition ...
+ 1
+ 1

... Step 4 Write an expression for the following model. Create the same model using your own integer chips. Step 5 Group as many zero pairs as possible and remove them. What is the result of your expression? Step 6 Model −5 + (−3) with integer chips. Step 7 Are there any zero pairs? If so, remove them. ...
Professor Weissman`s Algebra Classroom
Professor Weissman`s Algebra Classroom

... same form as the first set, only with X's indicating the number of tens. So XXXI is 31, and XXIV is 24. ...
Lesson 5
Lesson 5

... Lesson 5.1 Integers and Graphing ...
Quick and Dirty Guide to Significant Digits and Rounding
Quick and Dirty Guide to Significant Digits and Rounding

... for Students in Statistics and Econometrics Classes Most numbers used in these classes are real or hypothetical measurements of social and economic variables, or numbers calculated from such measurements. As such, they are only as precise as the measurement process that generated them. If a math tes ...
21 Decimals
21 Decimals

... 760, 000, 000, 000 = 7.6 × 109 . Write each of the following in scientific notation. (a) 4326 (b) 1,000,000 (c) 64,020,000 (d) 71,000,000,000 (e) 0.0001236 ...
Significant Figures - Waterford Public Schools
Significant Figures - Waterford Public Schools

... steps in the calculation. Only the final value is rounded to the correct number of significant figures. To round, look at the digit following the one to be rounded. If it is 5 or more, round up; if it is less than 5, round down. ...
Comprehensive Guide - Redding School District
Comprehensive Guide - Redding School District

... • Using a place value grid to explore 2- and 3-place decimal numbers • Representing hundredths and thousandths in standard form, expanded form, and word form Session 2 - Ordering and Rounding • Rounding decimals to the nearest tenth • Representing data on a bar graph • Comparing and ordering two or ...
10-Computer Arithmetic: ( Integer, Fixed-point, and Floating
10-Computer Arithmetic: ( Integer, Fixed-point, and Floating

... more than one form of number representation. Typically, there are integer and floatingpoint representation. Fixed-point is one whose point (decimal or binary) is in a fixed place in relation to the digits. For example, both integers and fractions can be represented as fixed-point numbers. For intege ...
Integers - C on T ech Math : : An application
Integers - C on T ech Math : : An application

... Negative integers are numbers less than zero. Positive integers are numbers greater than zero. There is a positive integer to complement every negative integer. ...
Show all work without using a calculator
Show all work without using a calculator

... in this way are said to be in scientific notation. This is a topic that you will study later. For now, we can use the calculator to see the relationship between numbers written in scientific notation and in decimal notation. For example, 3.485 * 10^4 is written in scientific notation. To write it i ...
document
document

... Measured Numbers • Do you see why Measured Numbers have error…you have to make that Guess! • All but one of the significant figures are known with certainty. The last significant figure is only the best possible estimate. • To indicate the precision of a measurement, the value recorded should use a ...
SOME DEFINITIONS Let xT denote the true value of some number
SOME DEFINITIONS Let xT denote the true value of some number

... Thus f2(x) has 13 distinct zeros on this calculator; whereas we know that f2(x) has only the zeros ±sqrt(3) ...
of Significant Figures
of Significant Figures

... The rules for counting the number of significant figures in a value are: 1. All numbers other then zero will always be counted as significant figures. 2. Captive zeros always count. All zeros between two nonzero numbers are significant. 3. Leading zeros do not count. Zeros before a non-zero number ...
Ordering, including positive and negative numbers
Ordering, including positive and negative numbers

... because 4836 is nearer to 5000 than 4000. 4836 is 4800 to the nearest 100, because 836 is nearer to 800 than to 900. 4836 is 4840 to the nearest 10, because 36 is nearer to 40 than to 30. ...
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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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