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Fractions and Decimals
Fractions and Decimals

... In questions 21 to 44, fill in the blanks to make the statements true: 21. A number representing a part of a _________ is called a fraction. 22. A fraction with denominator greater than the numerator is called a _________ fraction. 23. Fractions with the same denominator are called _________ fractio ...
1 Decimals
1 Decimals

... If the digit is a five or greater, you round the target digit up by one. Otherwise, you leave the target as it is. 3. Then you replace any digits to the right with zeroes (if they are to the left of the decimal point) or else you delete the digits (if they are past the decimal point). • Example: Rou ...
Study Guide for Skills Module 2—Review of Rounding Rules
Study Guide for Skills Module 2—Review of Rounding Rules

... ✔✔✔■Rounding Rules for Addition and Subtraction (Review from Module 1) 4. Determining the uncertainty in numbers obtained by adding or subtracting a) State the rule used to determine the uncertainty in answers obtained by adding or subtracting measurements (p. 15) b) Indicate the absolute uncertaint ...
Chapter 3: Elementary Number Theory And Methods of Proof
Chapter 3: Elementary Number Theory And Methods of Proof

... (Unique Factorization Theorem; Fundamental Theorem of Arithmetic) Given any integer n > 1, there exists a positive integer k , distinct prime numbers p1 , p2 ,. . . , pk , and positive integers e1 , e2 , . . . , ek such that n = p1e1 p2e2 p3e3 . . . pkek , and any other way of writing n as a product ...
4.1 introduction to fractions and mixed numbers
4.1 introduction to fractions and mixed numbers

... Ex: Say we have 17 How many WHOLES is that? How ...
Longfield Primary School
Longfield Primary School

... •Numerator - the number on the top of a fraction showing the number of equal parts in the fraction eg 3/4 •Denominator - the number on the bottom of the fraction showing the total number of equal parts in the whole eg 3/4 • Proper fraction – the number of parts examined, shown on the top, is less th ...
Using Decimals
Using Decimals

... Alright, you look puzzled. Let’s slow down and look at how we read a decimal so that we can understand its value. To read a decimal number, we begin with the whole number. The decimal point is read as “and” or as just “point.” Then the digits to the right of the decimal point are read by naming the ...
Weekly Planning Sheet for Numeracy
Weekly Planning Sheet for Numeracy

... difference. There was a rise in temperature by 6 degrees, what is the new temperature ...
Part1
Part1

... Our Machine ("chopper"): 0.322 E+5 – 0.321 E+5 ...
Significant Figures, Errors and Error Propagation
Significant Figures, Errors and Error Propagation

... When using a calculator numbers must be rounded - there are two ways of doing this: • Rounding to some arbitrary number of decimal places. In financial work rounding to two decimal places is usual. • Rounding to significant figures. When the number of significant figures is known the result is round ...
O D  T
O D T

... Multiply the decimals as if they were whole numbers. Then count the number of decimal places in each factor. Since the total number of decimal places in each factor is 3, the product must have 3 decimal places. (Note: the decimal points are not lined up when we multiply decimals.) 3.48 ← 2 decimal p ...
Decimal Operations
Decimal Operations

... The product of two numbers with the same sign is positive. The product of two numbers with different signs is negative. Division of decimals To divide decimals, move the decimal point in the divisor to the right so That the divisor is a whole number. Move the decimal point in the dividend The same n ...
Problem Solving
Problem Solving

... , so if the new integer minus twice the one’s digit, 10a  b  2c , is divisible by 7 then so is the original integer abc. Or A positive integer is divisible by 7 if when you remove the one’s digit from the integer and then subtract nine times the one’s digit from the new integer, you get an integer ...
Errors and Floating Point
Errors and Floating Point

... taken, are known as exact numbers e.g., 5, 21/6, 12/3, ... etc. are exact numbers. (ii) Approximate Number: There are numbers, which are not exact, e.g., 2 = 1.41421 ..., e = 2.7183 ...., etc. are not exact numbers since they contain infinitely many non-recurring digits. Therefore the numbers obtain ...
Significant Figures
Significant Figures

... numbers) are always significant.  Examples:  202 cm ...
Tenths, Hundredths, and Thousandths
Tenths, Hundredths, and Thousandths

... Thousandths, ten thousandths, hundred thousandths, and so on, can also be written as common fractions or decimal fractions. ...
1. FINAL
1. FINAL

... 6. The numerator of a non-zero rational number is five less than the denominator. If the denominator is increased by eight and the numerator is doubled, then again we get the same rational number. The required rational number is: (a) 1/8 (b) 4/9 (c) 2/8 ...
Lesson Plan -- Integers, Opposites, Absolute Value
Lesson Plan -- Integers, Opposites, Absolute Value

... An integer is a positive whole number, the opposite of a positive whole number, or zero. Positive integers are positive whole numbers and are found to the right of zero on a number line. Negative integers are opposites of positive whole numbers and are found to the left of zero on a number line. ...
Decimals Packet
Decimals Packet

... In the example above, the square and strip model helps you see that there are two important ideas in decimal addition. First, you can only add like units (tenths to tenths, hundredths to hundredths, and so on). Secondly, when there are too many of some unit, a trade must be made. (10 strips for 1 la ...
Are the values the same?
Are the values the same?

... 5.1 – Introduction to Decimals Rounding Decimals Locate the digit to the right of the requested place value. If the digit to the right is 5 or greater, round the place value up one and drop remaining digits. If the digit to the right is less than 5, the place value remains and the remaining digits ...
Dividing Decimal Numbers
Dividing Decimal Numbers

... 6. How do you determine where the decimal point belongs in the quotient when dividing decimal numbers? The long division methodology is for whole number division; therefore, the divisor must be a whole number. One can move the decimal point in a number by multiplying the number by 10, 100, 1000, and ...
Module 2 Floating Point Data
Module 2 Floating Point Data

... floating point number is said to be normalized if the number after the radix point is a non-zero value.  Un-normalized floating number is when the number after the radix point is ‘0’. ...
Integer
Integer

... to the left of 0 on the number line. • All non negative integers are the same as whole numbers and hence all the opertations on them are done as in the case of whole numbers. • To add two negative integers, we add the corresponding positive integers and retain the negative sign with the sum. • To ad ...
Dividing Decimals
Dividing Decimals

... Here’s where students get into trouble when they use a calculator. Entering these values, you may be tempted to answer “28.16483516 miles per gallon.” The difficulty is that there is no way you can compute gas mileage to the nearest hundred-millionth mile. How do you decide where to round off the an ...
fractions and decimals - hrsbstaff.ednet.ns.ca
fractions and decimals - hrsbstaff.ednet.ns.ca

... Adding and Subtracting Decimal Numbers Whenever a question requires you to add or subtract numbers with decimals, you must remember to line up your decimals before you find the sum or difference, as shown in the examples below. ...
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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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