2 5 adding and sub whole num and decimals
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This document provides instructions for adding and subtracting decimals. It emphasizes that decimals should be aligned by their place values when performing calculations by lining up the decimal points. It also recommends annexing zeros to the right of non-zero digits in decimals to maintain alignment and avoid confusion. An example calculation demonstrates these techniques and shows how to check subtraction problems by adding the residue back to the subtrahend.
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This document provides instructions for comparing decimals, multiplying decimals, and dividing decimals. It explains that when comparing decimals, you should line up the decimal points and compare place values from right to left. It also outlines the steps for multiplying decimals, which include ignoring the decimal points, counting total decimal places, and placing the decimal point in the product based on the number of decimal places. For dividing decimals, it describes how to handle situations when the decimal is in the dividend or divisor, such as moving decimal points and placing the decimal point in the quotient above the dividend's decimal point.Place Value Review
Place Value Reviewmrsdow
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The document provides information and examples about place value concepts including:
- Place value means the value of a digit depends on its position in the number.
- Numbers can be written in standard, expanded, and decimal forms.
- Steps for comparing and ordering numbers include lining them up and comparing digits left to right.
- Rounding involves underlining the place value to round to and adjusting the underlined digit up or down based on the digit to its right.Basic Skills Review
Basic Skills ReviewLara Williams
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Here are the steps to solve this word problem:
1) What is the question being asked?
Altogether how much did Amanda spend?
2) What information is necessary to solve the problem?
- She spent $25 for a table cloth
- She spent $35 for balloons
- She spent $12 for a centerpiece
- She spent $144 for groceries
3) Decide what information in the question is NOT necessary.
- She invited 20 of Red's friends
- The menu details
4) What math operations will be needed to solve the problem?
Addition (to find the total/altogether amount spent)
5) Does the answerNovember 14
November 14khyps13
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The document outlines a math lesson plan that includes reviewing fractions and greatest common factors, working with decimals through addition, subtraction, multiplication, division, and converting between fractions and decimals, and using Khan Academy for additional practice on specific topics from November 10th and 17th. Students will work through decimal word problems, comparisons, and operations during class work.An applied approach to calculas
An applied approach to calculasTarun Gehlot
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This chapter reviews real numbers including:
[1] Classifying numbers as natural numbers, integers, rational numbers, irrational numbers, and real numbers. Rational numbers can be written as fractions while irrational numbers cannot.
[2] Approximating irrational numbers like π as decimals to a given number of decimal places by rounding or truncating.
[3] How calculators handle decimals by either truncating or rounding values based on their display capabilities. A scientific or graphing calculator is recommended for this course.Understanding Integers
Understanding Integerskatiavidal
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The document discusses different types of numbers:
1) Natural numbers are whole numbers starting from 1. Rational numbers can be expressed as fractions or decimals.
2) Integers include whole numbers and their opposites, as well as zero. They can be ordered and compared on a number line.
3) Rules for operating on integers include adding like signs and subtracting unlike signs, as well as products and quotients of the same or different signs being positive or negative.decimals-110726084207-phpapp01.pptx
decimals-110726084207-phpapp01.pptxSer Louis Fabunan
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The document discusses decimals and their relationship to fractions. It defines decimals as numbers with values less than 1 that are written with a decimal point. Decimals extend the place value system to include values smaller than a whole unit. The value of each place decreases by a factor of 10 as you move right of the decimal point. Decimals can be added, subtracted, multiplied and divided following specific procedures. Decimals can represent either terminating or repeating decimals which can be converted to equivalent fractions.Decimal
DecimalFUKRE YAAR
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The document provides an overview of decimals, including what they are, their history, place value, comparing, rounding, adding, subtracting, multiplying, and dividing decimals. Key points covered include how decimals are used to represent fractional values, the importance of place value when working with decimals, and techniques for rounding, adding, subtracting, multiplying and dividing decimals accurately.Decimals Add and Subtract
Decimals Add and SubtractJackson Area Career Center
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1. This document provides a lesson on adding and subtracting decimals. It emphasizes lining up the decimals and notes that adding and subtracting decimals follows the same process as whole numbers.
2. Examples are provided that demonstrate adding decimals by lining them up under each other with the decimals in the same column before adding. Adding zeros as placeholders is explained to help line up the decimals.
3. Subtracting decimals is demonstrated with examples of lining up the numbers with the larger number on top and subtracting left to right, borrowing as needed from the left.
DECIMALS (1).pptx
DECIMALS (1).pptxMamangunAdelfaJeaneE
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The document defines decimals and decimal numbers. It discusses:
- Decimals are numbers with a decimal point separating whole numbers from fractional portions.
- The value of each digit is ten times less than the digit to its left as you move from left to right of the decimal point.
- Decimals can be terminating, repeating, or non-terminating/irrational.
- Terminating and repeating decimals can be written as fractions by considering the place value of the last decimal place.
- Addition, subtraction, multiplication and division of decimals follows patterns based on aligning the decimal points and considering total number of decimal places.Decimals guide
Decimals guideSmithnz
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The document is about decimals and how they represent parts of whole numbers. It explains that decimals have a decimal point separating the whole numbers on the left from the part numbers on the right. It provides examples of what different decimals look like in diagrams and on a number line. It discusses rounding, adding, subtracting, multiplying and dividing decimals.decimals. .pptx
decimals. .pptxKayraTheressGubat
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Decimal numbers have a dot that separates the whole numbers from the fractional or partial numbers. There are several key operations for decimals: comparing decimals involves looking at the same place value; rounding decimals involves dropping digits and increasing or keeping the last digit as appropriate; adding and subtracting decimals involves lining up the decimals; multiplying decimals involves multiplying the numbers and counting total decimal places in the factors; and dividing decimals uses moving the decimals to represent division of whole numbers, with remainders requiring annexing zeros. Repeating decimals occur when the division has a non-terminating repeating portion.decimals-comp-packet.pdf
decimals-comp-packet.pdfJorge Vega RodrÃguez
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This document provides information about performing arithmetic operations with decimal numbers. It contains a glossary defining decimal-related terms, explanations of place value and how to write and compare decimals. The bulk of the document consists of examples and exercises for adding, subtracting, multiplying and dividing decimals. It concludes with decimal word problems and answers to the exercises. The overall purpose is to teach the essential skills for working with decimal numbers.
Basic Math Review Card.pdf
Basic Math Review Card.pdfNoraima2
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This document provides an overview of basic math concepts including:
1) Different types of numbers such as natural numbers, integers, rational numbers, and irrational numbers.
2) Properties of operations like addition, subtraction, multiplication, and division.
3) How to work with fractions including adding, subtracting, multiplying, and dividing fractions.
4) Other topics covered include the number line, order of operations, and working with negatives.Basic Math Review Card.pdf
Basic Math Review Card.pdfnaik39
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This document provides an overview of basic math concepts including:
1) Different types of numbers such as natural numbers, integers, rational numbers, and irrational numbers.
2) Properties of operations like addition, subtraction, multiplication, and division.
3) How to work with fractions including adding, subtracting, multiplying, and dividing fractions.
4) Concepts like rates, ratios, proportions, and percents.Nats Decimal Keynote
Nats Decimal Keynoteguest85f32
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A decimal is a number written in the base ten system, with a decimal point separating the ones place from the tenths place. Places to the right of the decimal point show parts of a whole, with tenths being the first place and hundredths, thousandths, etc following. When ordering decimals from least to greatest, zeros at the end do not change the value, and the number of digits does not matter - only the first digit in each number is compared. Decimals are rounded the same as whole numbers, rounding up if over 5 and down if under 5. Adding and subtracting decimals involves lining up the decimal points and performing the operation as with whole numbers, while multiplying requires multiplying as usual and placing the decimal pointDecimal Keynote
Decimal Keynoteguestec802
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A decimal is a number written in the base ten system, with a decimal point separating the ones place from the tenths place. Places to the right of the decimal point show parts of a whole, with tenths being the first place and hundredths, thousandths, etc following. When ordering decimals from least to greatest, zeros at the end do not change the value, and the number of digits does not matter - only the first digit in each number is compared. Decimals are rounded in the same way as whole numbers, rounding up if above 5 and down if below. Adding and subtracting decimals involves lining up the decimal points and performing the operation as with whole numbers, while multiplying requires multiplying as usual and placing the decimalMore from katiavidal (10)
Formulas Perimeter and Area 10 7,8,10,11
Formulas Perimeter and Area 10 7,8,10,11katiavidal
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The document provides formulas for calculating perimeter, area, circumference, and circle area. It defines perimeter as the distance around a shape and area as the surface covered within a perimeter. Formulas are given for calculating the perimeter and area of squares, rectangles, parallelograms, triangles, and circles. The circumference of a circle is defined as the distance around it and can be calculated using C=πd or C=2πr, where π is approximately 3.14.
Properties of operations
Properties of operationskatiavidal
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This document discusses properties of operations in mathematics including addition and multiplication. It defines the commutative, associative, identity, and zero properties of addition and multiplication. The commutative property states that the order of numbers being added or multiplied does not change the sum or product. The associative property states that the grouping of numbers being added or multiplied does not change the sum or product. The identity properties state that adding or multiplying any number by zero or one, respectively, does not change the number. The zero property of multiplication states that multiplying any number by zero equals zero. Examples are provided to illustrate these properties.3 1 factors, multiples and divisibility
3 1 factors, multiples and divisibilitykatiavidal
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The document discusses factors, multiples, and divisibility of numbers. It defines a number as being divisible by another if the quotient is a whole number with no remainder. A multiple is the product of a number and any whole number greater than zero. A factor is a number that divides another number with no remainder. It provides examples showing 20 is divisible by 4 and 4 is a factor of 20. It also states 15 is a multiple of 3 and 5. Divisibility rules are outlined for numbers being divisible by 2, 3, 4, 5, 6, 9, and 10.2 11 scientific notation
2 11 scientific notationkatiavidal
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Scientific notation is a way of writing numbers that are too large or too small in standard form. A number is written as the product of a number between 1 and 10 and a power of 10. For example, 350 written in scientific notation is 3.50 x 102. To convert a number to scientific notation, the decimal point is moved to make the number between 1 and 10, and the power of 10 indicates how many places the decimal was moved. This form is useful in science for large and small measurements like distances between planets.2 10 mult and div by powers of ten
2 10 mult and div by powers of tenkatiavidal
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This document discusses multiplying and dividing by powers of ten. It explains that the exponent tells how many times the base of 10 is multiplied by itself. Positive exponents move the decimal point right when multiplying and left when dividing. Negative exponents move the decimal point in the opposite direction - left when multiplying and right when dividing. Examples are provided to illustrate multiplying and dividing numbers by positive and negative powers of ten.3.2 prime and composite numbers
3.2 prime and composite numberskatiavidal
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A prime number is a whole number greater than 1 that is only divisible by 1 and itself, while a composite number can be divided by other numbers besides 1 or itself. All even numbers greater than 2 and numbers greater than 5 that end in 5 are composite. The prime factorization of a number expresses it as the product of its prime factors by finding all prime numbers that divide into the original number from least to greatest in exponential form.2 6 mult whole num and decimals
2 6 mult whole num and decimalskatiavidal
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To multiply decimals, count the decimal places in each factor and add them to determine the decimal places in the product. The decimal point is placed in the product by moving left by the total number of decimal places. Adding zeros to the left of the product may be necessary to position the decimal point correctly. The product of two numbers less than one is always less than either factor.1 10 mental math using...
1 10 mental math using...katiavidal
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The document discusses the distributive property of multiplication over addition and subtraction. It explains that multiplying a sum by a number is the same as multiplying each addend by that number and then adding the products. It provides examples of using the distributive property to mentally calculate products by breaking numbers apart and distributing the multiplier. Vocabulary terms like distributive property and breaking apart are defined. Steps for using the distributive property with PEMDAS order of operations are outlined. Practice problems are provided to find missing numbers using the distributive property.2 5 adding and sub whole num and decimals
- 1. 2-5 ADDING AND SUBTRACTING WHOLE CHAPTER 2 NUMBERS AND DECIMALS Adding and subtracting decimals is similar to adding and subtracting whole numbers. REMEBER THE PLACE VALUE CHART? DECIMAL TEN HUNDRED THOUSANDS HUNDREDS TENS ONES TENTHS HUNDREDTHS THOUSANDTHS THOUSANDTHS THOUSANDTHS POINT 5 6 4 3 . 1 2 8 9 7 Look the names of the Place Value of a digit AFTER the decimal point… they are the same, But end with THS. When Adding and Subtracting with decimals ALWAYS align the places of the digits.
- 2. TO REMEMBER: * LINE UP all the digits, depending on where the decimal point is located. WHY?... This will align the Place Value of all the digits. You can NOT add or subtract if the Place Value is not aligned. Example: 3.06 + 15.430 + .025 + .2 3.06 + 15.430 .025 __ .2___ 18.715
- 3. TO REMEMBER: * ANNEX ZEROS TO THE DECIMAL… this means to write zeros to the RIGHT of the NONZERO digits in a decimal. This also will keep the Place Values and decimal points aligned and you won’t get confused. Example: 1.8 – 0.78 1.80 - 0.78 1.02 The Zeros will also help so that both numbers have the same number of digits to the right of the decimal point. Specially in subtractions is very helpful… this way you won’t just bring down the digits of the bottom number, when there is no digit above it.
- 5. EXAMPLE. 235 + .378 + 0.560 + 315.62 235.000 .378 + 0.560 315.620__
- 6. Do you remember the method to check if the answer to a Subtraction is correct? Add the answer (Residue) to the number it was subtracted (Subtrahend). The result should be the number you started with (Minuend). Example 1.80 - 0.78 + 1.02 1.80