Percents, Decimals, And Fractions
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Percents, decimals, and fractions can all be used to compare parts of a whole. There are two methods shown for writing decimals as percents: 1) using place value and proportions, or 2) more simply moving the decimal point two places to the right and multiplying by 100. Writing a fraction as a percent involves setting up a proportion with the fraction over the whole on one side and the unknown percent over 100 on the other side, then cross-multiplying and solving for the unknown percent value.
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Unit 8
- The document provides instruction on key concepts related to fractions, ratios, decimals, and percents including ordering and comparing fractions, finding a percent of a number, converting among fractions, decimals, and percents, finding common denominators, and adding, subtracting, and multiplying fractions and mixed numbers.
- Strategies are presented for comparing fractions, finding a percent of a number, converting between representations, finding common denominators, and performing operations on fractions and mixed numbers.
- Examples and interactive practice problems are included to help explain and apply the concepts.
Fractions (addition, subtraction, rounding, fraction of amounts).pptx
The document provides information about a math tutorial covering fractions. It discusses simplifying, adding, subtracting, multiplying, and dividing fractions. It also covers converting between improper and mixed fractions, finding equivalent fractions, estimating fractions by rounding, and writing quantities as fractions of other amounts. The tutorial includes starter problems on decimals and worksheets for students to practice fraction skills.
FS Maths Level 2 – March 13, 2023 (Fractions-1).2
The document provides information about a math tutorial covering fractions. It discusses simplifying, adding, subtracting, multiplying, and dividing fractions. It also covers converting between improper and mixed fractions, finding equivalent fractions, estimating fractions by rounding, and writing quantities as fractions of other amounts. The tutorial includes starter problems on decimals and worksheets for students to practice fraction skills.
FS Maths Level 2 – March 13, 2023 (Fractions-1).2
The document provides information about a math tutorial covering fractions. It discusses simplifying, adding, subtracting, multiplying, and dividing fractions. It also covers converting between improper and mixed fractions, finding equivalent fractions, estimating fractions by rounding, and writing quantities as fractions of other amounts. The tutorial includes starter problems on decimals and worksheets for students to practice fraction skills.
Converting with fractions, decimals, and percents
This document provides instructions for converting fractions to decimals and decimals to percentages using a calculator. It explains that to convert a fraction like 1/2 to a decimal, you enter the fraction into the calculator and press the equals key, which will display 0.5. Several examples of converting fractions to decimals are shown. The document also explains that to convert a decimal to a percentage, you enter the number, press the greater than sign and percentage key, and then press equals. Some decimal to percentage examples are provided as well. Finally, some review problems are given to round fractions to decimals and decimals to percentages.
Fractions And Decimals
This slideshow shows a child how they can learn to add, substract, mulitply, and divide with fractions and decimals.
Fractions And Decimals
This document provides an overview of fractions and decimals including:
- Definitions of fractions and decimals
- Parts of a fraction such as the numerator and denominator
- Examples of fractions and decimals
- How to add, subtract, multiply and divide fractions and decimals
- Converting between fractions and decimals
- Online resources for learning more about fractions and decimals
(Q3-W1.1) Visualizing Percent and Its Relationship to Fractions, Ratios.and D...
This document summarizes a lesson that visualizes percent and its relationship to fractions, ratios, and decimal numbers using models. It discusses expressing ratios as fractions and decimals, calculating percentages, and converting between ratio, fraction, decimal, and percent forms. Activities include representing ratios with models, grouping students into ratios, and converting between ratio, fraction, decimal, and percent equivalents. The lesson emphasizes that ratio, fraction, decimal, and percent are related and can be converted between forms.
FS Maths Level 2- March 08, 2023 (Decimals).
The document provides information about working with decimals, including:
- Adding, subtracting, multiplying, and dividing decimals through examples of each process. Steps are outlined such as lining up decimal points and moving them as needed.
- Comparing and ordering decimals by looking at each digit place value from left to right and eliminating numbers based on comparisons.
- Estimating decimal values by rounding to various place values like the nearest dollar or tenth. This allows estimating totals, quantities, or amounts when exact calculations aren't needed.
- Practice problems are provided throughout for skills like addition, multiplication, long division, comparing values, and word problems involving monetary amounts with decimals.
Lesson 7 __attachment_a
The document discusses different ways to convert between percents, decimals, and fractions. It explains that a percent is a ratio out of 100, and all percents can be written as fractions over 100. It then provides examples and steps for converting between these representations, which generally involve setting up a proportion and solving. The key steps are rewriting the number as a fraction if needed, then setting it up as a proportion with the denominator of 100 to convert it to a percent.
Motivation
Decimals are commonly used in measurements and commerce. They allow numbers to be represented on the number line through repeated subdivision into tenths. A decimal number locates a point on the number line through the place value of its digits. Decimals extend the place value concept for whole numbers to include tenths, hundredths, thousandths, and so on. While widely used today, decimals were not commonly adopted until the early 17th century. Decimals can represent both rational and some irrational numbers and are useful for approximations and measurements recorded to a given accuracy.
Decimals
The document discusses decimals and their relationship to fractions. It covers place value to the left and right of the decimal point. Operations like addition, subtraction, multiplication and division are described for decimals. Comparisons and representations of decimals on a number line are also covered. Terminating and repeating decimals are defined, and methods to convert decimals to fractions are provided.
Decimals
The document discusses decimals and their relationship to fractions. It explains that decimals extend the place value system to include values less than one. The value of each place decreases by a factor of ten as you move to the right of the decimal point. Decimals can be added, subtracted, multiplied and divided using standard algorithms. Terminating decimals can be converted to fractions by writing the decimal as the numerator over an appropriate power of ten as the denominator. Repeating decimals can be converted to fractions by writing the repeating portion as the numerator over nines and zeros in the denominator.
Fractions, Decimals, and Percents
This document provides instructions and worksheets for an activity involving sorting and counting Skittles candies by color. Students will sort Skittles, count the number of each color, record the data, and calculate fractions, decimals, percents, and create a pie chart to represent the results. Conversion steps are provided between fractions, decimals, and percents. The document also includes instructions for a game to practice converting between these representations.
Understanding fractions
This document is a PowerPoint presentation about fractions for 8th grade students. It contains definitions of key fraction terms like numerator, denominator, improper fractions, and mixed numbers. It explains how to add, subtract, multiply, and divide fractions, including using common denominators for addition and subtraction of unlike fractions. It also discusses equivalent fractions and how to determine if two fractions are equivalent using scale factors or cross-multiplication. The learning objectives are for students to understand fraction operations and how to find equivalent fractions.
Dec. 2nd, 2013
The document provides an agenda and notes for a math class focusing on fractions, decimals, and percents. The agenda includes a warm-up on simplifying fractions, working on class work problems focusing on fractions, and reviewing Khan Academy topics on the fraction, decimal, and percent unit. The class notes include reviewing ways to convert fractions to decimals, memorizing common fraction conversions, and practicing mental math skills for finding percentages of numbers by moving the decimal point.
decimals-comp-packet.pdf
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.
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This document provides examples for calculating discounts, tips, and sales tax using percentages. It shows how to calculate a 10% discount on a $15 CD to determine the discounted price of $13.50. It also shows how to calculate a 15% tip on a $14 bill to get a tip of $2.10. Finally, it demonstrates calculating 8% sales tax on a $80 scooter to find the total cost is $86.40.
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To divide fractions, flip the second fraction and multiply the numerators and denominators. To divide mixed numbers, first convert them to improper fractions, then follow the same process of flipping the second fraction and multiplying the numerators and denominators before simplifying the result. The document provides examples of dividing fractions like 4/5 by 1/5 and mixed numbers like 2 and 2/3 by 1 and 1/6.
Multiplying Fractions And Mixed Numbers
This document provides instructions for multiplying fractions and mixed numbers. It explains that when multiplying fractions, you multiply the numerators and denominators without needing common denominators. For mixed numbers, you first convert them to improper fractions, then multiply the numerators and denominators and simplify if needed. An example of each type of multiplication is shown.
Multiplying Fractions By Whole Numbers
To multiply a fraction by a whole number, write the whole number as a fraction over 1, then multiply the numerators and denominators, simplifying the resulting fraction if possible. For example, to multiply 4 by 1/8, write 4/1, then multiply 4/1 * 1/8 = 4/8 = 1/2 by multiplying the numerators and denominators.
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1) When adding or subtracting fractions, they must have a common denominator so the bottom numbers are the same. 2) If the denominators are already the same, simply add or subtract the top numbers and simplify. 3) To add or subtract a whole number and fraction, write the whole number as a fraction over 1 before making the denominators the same and then adding or subtracting the fractions.
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Solving Addition Equations
The document discusses solving addition equations by using the inverse operation of addition, which is subtraction. It provides an example of solving the equation 7 + x = 21 by subtracting 7 from both sides, leaving x = 14. It emphasizes that the same operation must be applied to both sides of the equation to keep it balanced. It then presents a word problem about total flight times between three cities and shows how to set up and solve the equation to find the unknown flight time.
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The document discusses variables, expressions, and evaluating expressions. It provides examples of algebraic expressions like p*7 and r+6. It explains that to evaluate an expression, you plug in the given value for the variable. For example, if W=55, then 55/11=5. The document also discusses finding the expression based on a series of related numbers, noting you look for the operation that fits each row, like dividing 60 by 3 to get 20.
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