This document provides examples and instructions for multiplying mixed decimals. It explains that when multiplying a mixed decimal by a whole number or another mixed decimal, you multiply as usual but pay attention to the number of decimal places in the factors and product. The product should have the same number of decimal places as the total number of decimal places in the factors. Several word problems involving rates and distances are solved as examples using multiplication of mixed decimals.
This document defines key terms related to percentages, rates, and bases. It explains that percentage is the part of a whole, rate is the number compared to 100, and base is the entire amount. A formula is provided to calculate percentage, rate, and base using a triangle method. Several examples are worked through step-by-step to demonstrate how to find the percentage, rate, or base when two values are given. Practice problems are also included for students to solve.
This document discusses key terms related to percentages:
Percentage refers to a portion or share without a percent sign. Rate refers to a percentage with a percent sign and represents the relationship to the base. Base refers to the original or whole amount.
The example shows that 20 is 1/5 of 100. This means if you cut 100 into 5 equal parts, each part is 20.
The rate R shows the relationship between the percentage P and base B, which can be written as P R B.
ALGEBRAIC-EXPRESSIONS-AND-EQUATIONS ART grade 6.pptxARTURODELROSARIO1
油
This document provides examples and explanations of algebraic expressions and equations. It begins by defining variables in expressions and equations. Examples are then given of translating sentences to algebraic expressions and equations. The document also distinguishes between expressions and equations. Several word problems are presented and solved, writing the corresponding algebraic equations. The key steps are to understand the problem, plan by identifying the variables and mapping words to symbols, solve the resulting equation, and check the work.
Finding the percentage in the given problemDanilynRitcha1
油
The document provides information about percentages including how to calculate percentages, convert between ratio, decimal and fraction forms of percentages, and examples of percentage word problems. It discusses finding the percentage of a whole using the formula Percentage = Rate x Base and provides multiple examples of solving percentage problems including one where a student Allan scores 48 out of 50 on a test, getting 96% correct.
The greatest common factor (GCF) is the largest number that divides both numbers. There are two methods to find the GCF: listing the factors of each number, where the GCF is the largest shared factor, or using a ladder method where you divide both numbers by their common prime factors until only one number remains. The document provides examples of finding the GCF of 18 and 30 by listing factors, and of 27 and 36 using the ladder method.
1. Dividing fractions involves turning the dividing fraction upside down and changing the division sign to a multiplication sign. Then you multiply the numerators and denominators.
2. For mixed numbers, you first change the mixed number to an improper fraction before dividing. Then cancel down and change back to a mixed number if needed.
3. When dividing a whole number by a fraction, the whole number has an implied denominator of 1. Then you follow the same process of multiplying the numerators and denominators. Division of fractions can result in answers that are greater than the original numbers.
The document discusses different types of proportions - direct proportion, inverse proportion, and partitative proportion. It provides examples of each type and sample problems with solutions. Direct and inverse proportions relate two quantities where one increases/decreases as the other increases/decreases. Partitive proportion involves dividing a whole into parts according to a given ratio. Sample problems for each type are worked out step-by-step.
This document provides instructions and examples for dividing decimals. It explains that when dividing a decimal by a whole number, the decimal point is placed in the quotient directly above the decimal point in the dividend. It also explains that when dividing decimals, the decimal point in the divisor is moved to the right until the end of its digits, and the decimal point in the dividend is moved the same number of places. This is demonstrated through examples of dividing decimals by whole numbers and decimals.
This document provides guidance on adding dissimilar fractions. It explains that dissimilar fractions have different denominators while similar fractions have the same denominator. To add dissimilar fractions, one must first find the least common denominator (LCD), then rename each fraction with the LCD as its denominator, and finally add the numerators and write over the LCD. Several examples are provided to demonstrate finding the LCD, renaming fractions, and performing the addition. Assessment and enrichment activities are also included to help students practice and apply the skill.
The document discusses the concept of the least common multiple (LCM). It defines the LCM as the lowest number that is a multiple of two or more numbers. It provides examples of finding the LCM of different pairs of numbers by listing their multiples and circling the first number that is common to both lists. The document also discusses how the LCM can be used to find patterns involving multiples and to add or subtract fractions by finding a common denominator.
This document provides information about writing and comparing monetary values in symbols. It discusses using the peso sign, decimal point, and centavo sign when writing money. Money should be written with two decimal places. The symbols >, <, and = are used to compare money values. Various monetary amounts from 1 centavo to 1,000 pesos are defined in words and symbols. Practice problems have the reader write out amounts and compare values using the appropriate symbols.
This document defines and provides examples of various 3D and 2D shapes. It discusses 3D shapes like cubes, spheres, cones and cylinders. It explains they have dimensions of length, width, height and describes features like faces, edges, vertices and surfaces. It also defines 2D shapes such as triangles, rectangles, circles and discusses their sides, angles and other properties. Various properties of lines, angles and symmetry are also outlined.
The document provides a lesson on rounding numbers to various place values including thousands, ten thousands, hundreds of thousands, and millions. It includes examples of rounding numbers up and down based on the digit in the place value being rounded to. Students are given practice problems to round numbers to different place values and assess their understanding of rounding numbers.
Philippine Money - Bills and Coins (Math 3)menchreo
油
The document discusses the Philippine peso, the official currency of the Philippines. It provides details about coins and bills, including images of different denominations and how monetary values are written. It also includes several word problems asking the reader to calculate total amounts of money in peso and centavo values.
Ratio is a comparison of two or more quantities expressed in fraction or colon form. A ratio can be reduced to its simplest terms by dividing both numbers by their greatest common factor. Examples show how to determine the ratio between two quantities like the number of girls and boys in a room, and how to simplify ratios into their lowest terms.
The document defines and describes different types of lines including: points, line segments, rays, parallel lines, intersecting lines, and perpendicular lines. It provides examples of each type of line and asks the reader to identify lines as parallel, perpendicular, or intersecting in several diagrams. The purpose is to teach the reader to distinguish between different configurations of lines.
The document discusses the circumference of circles. It defines circumference as the distance around a circle and diameter as the distance across a circle. It presents the formula for circumference which is C=d, where C is circumference, d is diameter, and is approximately 3.14. Several examples are given of using the formula to calculate the circumference given the diameter. The document also discusses using the alternative radius-based formula, C=2r, to find circumference when given the radius instead of the diameter.
The document discusses the five main properties of multiplication:
1. The commutative property states that changing the order of factors does not change the product, such as 2 x 4 = 4 x 2.
2. The associative property states that changing the grouping of factors does not change the product, such as (2 x 2) x 4 = 2 x (2 x 4).
3. The identity property states that any number multiplied by 1 is equal to itself, such as 2 x 1 = 2.
4. The zero property states that any number multiplied by 0 is equal to 0, such as 2 x 0 = 0.
5. The distributive property states that the product of a number and
The document provides instructions for constructing a circle with 8 points labeled A through H located 4 inches from the center point P. It then defines key terms related to circles including: diameter, radius, chord, tangent, central angle, arcs, and semicircles. Examples are given for each term and a practice problem is provided to test understanding of the circle terminology.
Fraction represents equal parts of a whole. A fraction consists of a numerator and denominator. To add similar fractions, you must make sure the denominators are the same. Then you add the numerators and put the sum over the original denominator. Finally, simplify the sum if possible. Examples are provided where the fractions 1/3 + 1/3 = 2/3, 2/5 + 1/5 = 3/5, and 3/5 + 2/5 = 1.
Dividing decimals involves the following steps:
1. When dividing a decimal by a whole number, place the decimal point in the quotient above the decimal point in the dividend. Divide as usual.
2. When dividing one decimal by another, move the decimal point in the divisor right until the end of its digits and move the decimal point in the dividend the same number of places.
3. Terminating decimals stop at a certain digit. Repeating decimals have a repeating digit or group of digits that is usually denoted with a bar.
This document provides an explanation of the order of operations when solving mathematical expressions. It states that multiplication and division should be performed before addition and subtraction, from left to right if these operations are at the same level of precedence. It provides examples of solving expressions step-by-step using the proper order of operations. Finally, it gives practice problems for the reader to solve.
Fraction division is the opposite of fraction multiplication. To divide fractions, invert the second fraction and multiply. The steps are to change any whole numbers or mixed numbers to improper fractions, invert the divisor fraction, and multiply the numerators and denominators. Division is not commutative like multiplication, so the order of the fractions matters in word problems involving splitting, sharing, or grouping items.
This document provides instruction on calculating percentages, rates, and bases. It includes examples of percentage problems with calculations showing the rate, base and percentage. Students are given practice identifying the rate, base and percentage in example problems through group and individual activities. Key terms are defined and additional examples are worked through step-by-step. The objectives are to understand the meaning of rate, base and percentage and be able to determine them when given problems or equations.
This document discusses how to calculate the volumes of various three-dimensional geometric figures. It provides formulas for finding the volumes of rectangular prisms, triangular prisms, cylinders, pyramids, and cones. Examples are given for each figure to demonstrate how to apply the volume formulas. A reference sheet at the end lists the key volume formulas for quick reference.
Proper; Improper & Mixed Number FractionsLorenKnights
油
This document discusses different types of fractions:
- Proper fractions have a numerator less than the denominator (e.g. 1/4).
- Improper fractions have a numerator greater than or equal to the denominator (e.g. 5/3).
- Mixed numbers are a combination of a whole number and a proper fraction (e.g. 2 1/4).
The document provides examples of converting between improper fractions and mixed numbers by dividing the numerator by the denominator to get the whole number part and remainder.
This lesson plan outlines teaching percentages when given the rate and base. It includes objectives, content, preparatory activities like practice problems converting between decimals, fractions, ratios and percentages, developmental activities working through word problems, a discussion of setting up the percentage formula using a triangle, practice exercises, and an evaluation with answers. The lesson emphasizes listening skills, striving for one's best, and completing homework.
AI and Academic Writing, Short Term Course in Academic Writing and Publication, UGC-MMTTC, MANUU, 25/02/2025, Prof. (Dr.) Vinod Kumar Kanvaria, University of Delhi, vinodpr111@gmail.com
This document provides instructions and examples for dividing decimals. It explains that when dividing a decimal by a whole number, the decimal point is placed in the quotient directly above the decimal point in the dividend. It also explains that when dividing decimals, the decimal point in the divisor is moved to the right until the end of its digits, and the decimal point in the dividend is moved the same number of places. This is demonstrated through examples of dividing decimals by whole numbers and decimals.
This document provides guidance on adding dissimilar fractions. It explains that dissimilar fractions have different denominators while similar fractions have the same denominator. To add dissimilar fractions, one must first find the least common denominator (LCD), then rename each fraction with the LCD as its denominator, and finally add the numerators and write over the LCD. Several examples are provided to demonstrate finding the LCD, renaming fractions, and performing the addition. Assessment and enrichment activities are also included to help students practice and apply the skill.
The document discusses the concept of the least common multiple (LCM). It defines the LCM as the lowest number that is a multiple of two or more numbers. It provides examples of finding the LCM of different pairs of numbers by listing their multiples and circling the first number that is common to both lists. The document also discusses how the LCM can be used to find patterns involving multiples and to add or subtract fractions by finding a common denominator.
This document provides information about writing and comparing monetary values in symbols. It discusses using the peso sign, decimal point, and centavo sign when writing money. Money should be written with two decimal places. The symbols >, <, and = are used to compare money values. Various monetary amounts from 1 centavo to 1,000 pesos are defined in words and symbols. Practice problems have the reader write out amounts and compare values using the appropriate symbols.
This document defines and provides examples of various 3D and 2D shapes. It discusses 3D shapes like cubes, spheres, cones and cylinders. It explains they have dimensions of length, width, height and describes features like faces, edges, vertices and surfaces. It also defines 2D shapes such as triangles, rectangles, circles and discusses their sides, angles and other properties. Various properties of lines, angles and symmetry are also outlined.
The document provides a lesson on rounding numbers to various place values including thousands, ten thousands, hundreds of thousands, and millions. It includes examples of rounding numbers up and down based on the digit in the place value being rounded to. Students are given practice problems to round numbers to different place values and assess their understanding of rounding numbers.
Philippine Money - Bills and Coins (Math 3)menchreo
油
The document discusses the Philippine peso, the official currency of the Philippines. It provides details about coins and bills, including images of different denominations and how monetary values are written. It also includes several word problems asking the reader to calculate total amounts of money in peso and centavo values.
Ratio is a comparison of two or more quantities expressed in fraction or colon form. A ratio can be reduced to its simplest terms by dividing both numbers by their greatest common factor. Examples show how to determine the ratio between two quantities like the number of girls and boys in a room, and how to simplify ratios into their lowest terms.
The document defines and describes different types of lines including: points, line segments, rays, parallel lines, intersecting lines, and perpendicular lines. It provides examples of each type of line and asks the reader to identify lines as parallel, perpendicular, or intersecting in several diagrams. The purpose is to teach the reader to distinguish between different configurations of lines.
The document discusses the circumference of circles. It defines circumference as the distance around a circle and diameter as the distance across a circle. It presents the formula for circumference which is C=d, where C is circumference, d is diameter, and is approximately 3.14. Several examples are given of using the formula to calculate the circumference given the diameter. The document also discusses using the alternative radius-based formula, C=2r, to find circumference when given the radius instead of the diameter.
The document discusses the five main properties of multiplication:
1. The commutative property states that changing the order of factors does not change the product, such as 2 x 4 = 4 x 2.
2. The associative property states that changing the grouping of factors does not change the product, such as (2 x 2) x 4 = 2 x (2 x 4).
3. The identity property states that any number multiplied by 1 is equal to itself, such as 2 x 1 = 2.
4. The zero property states that any number multiplied by 0 is equal to 0, such as 2 x 0 = 0.
5. The distributive property states that the product of a number and
The document provides instructions for constructing a circle with 8 points labeled A through H located 4 inches from the center point P. It then defines key terms related to circles including: diameter, radius, chord, tangent, central angle, arcs, and semicircles. Examples are given for each term and a practice problem is provided to test understanding of the circle terminology.
Fraction represents equal parts of a whole. A fraction consists of a numerator and denominator. To add similar fractions, you must make sure the denominators are the same. Then you add the numerators and put the sum over the original denominator. Finally, simplify the sum if possible. Examples are provided where the fractions 1/3 + 1/3 = 2/3, 2/5 + 1/5 = 3/5, and 3/5 + 2/5 = 1.
Dividing decimals involves the following steps:
1. When dividing a decimal by a whole number, place the decimal point in the quotient above the decimal point in the dividend. Divide as usual.
2. When dividing one decimal by another, move the decimal point in the divisor right until the end of its digits and move the decimal point in the dividend the same number of places.
3. Terminating decimals stop at a certain digit. Repeating decimals have a repeating digit or group of digits that is usually denoted with a bar.
This document provides an explanation of the order of operations when solving mathematical expressions. It states that multiplication and division should be performed before addition and subtraction, from left to right if these operations are at the same level of precedence. It provides examples of solving expressions step-by-step using the proper order of operations. Finally, it gives practice problems for the reader to solve.
Fraction division is the opposite of fraction multiplication. To divide fractions, invert the second fraction and multiply. The steps are to change any whole numbers or mixed numbers to improper fractions, invert the divisor fraction, and multiply the numerators and denominators. Division is not commutative like multiplication, so the order of the fractions matters in word problems involving splitting, sharing, or grouping items.
This document provides instruction on calculating percentages, rates, and bases. It includes examples of percentage problems with calculations showing the rate, base and percentage. Students are given practice identifying the rate, base and percentage in example problems through group and individual activities. Key terms are defined and additional examples are worked through step-by-step. The objectives are to understand the meaning of rate, base and percentage and be able to determine them when given problems or equations.
This document discusses how to calculate the volumes of various three-dimensional geometric figures. It provides formulas for finding the volumes of rectangular prisms, triangular prisms, cylinders, pyramids, and cones. Examples are given for each figure to demonstrate how to apply the volume formulas. A reference sheet at the end lists the key volume formulas for quick reference.
Proper; Improper & Mixed Number FractionsLorenKnights
油
This document discusses different types of fractions:
- Proper fractions have a numerator less than the denominator (e.g. 1/4).
- Improper fractions have a numerator greater than or equal to the denominator (e.g. 5/3).
- Mixed numbers are a combination of a whole number and a proper fraction (e.g. 2 1/4).
The document provides examples of converting between improper fractions and mixed numbers by dividing the numerator by the denominator to get the whole number part and remainder.
This lesson plan outlines teaching percentages when given the rate and base. It includes objectives, content, preparatory activities like practice problems converting between decimals, fractions, ratios and percentages, developmental activities working through word problems, a discussion of setting up the percentage formula using a triangle, practice exercises, and an evaluation with answers. The lesson emphasizes listening skills, striving for one's best, and completing homework.
AI and Academic Writing, Short Term Course in Academic Writing and Publication, UGC-MMTTC, MANUU, 25/02/2025, Prof. (Dr.) Vinod Kumar Kanvaria, University of Delhi, vinodpr111@gmail.com
How to Configure Deliver Content by Email in Odoo 18 SalesCeline George
油
In this slide, well discuss on how to configure proforma invoice in Odoo 18 Sales module. A proforma invoice is a preliminary invoice that serves as a commercial document issued by a seller to a buyer.
Comprehensive Guide to Antibiotics & Beta-Lactam Antibiotics.pptxSamruddhi Khonde
油
Comprehensive Guide to Antibiotics & Beta-Lactam Antibiotics
Antibiotics have revolutionized medicine, playing a crucial role in combating bacterial infections. Among them, Beta-Lactam antibiotics remain the most widely used class due to their effectiveness against Gram-positive and Gram-negative bacteria. This guide provides a detailed overview of their history, classification, chemical structures, mode of action, resistance mechanisms, SAR, and clinical applications.
What Youll Learn in This Presentation
History & Evolution of Antibiotics
Cell Wall Structure of Gram-Positive & Gram-Negative Bacteria
Beta-Lactam Antibiotics: Classification & Subtypes
Penicillins, Cephalosporins, Carbapenems & Monobactams
Mode of Action (MOA) & Structure-Activity Relationship (SAR)
Beta-Lactamase Inhibitors & Resistance Mechanisms
Clinical Applications & Challenges.
Why You Should Check This Out?
Essential for pharmacy, medical & life sciences students.
Provides insights into antibiotic resistance & pharmaceutical trends.
Useful for healthcare professionals & researchers in drug discovery.
Swipe through & explore the world of antibiotics today!
Like, Share & Follow for more in-depth pharma insights!
How to Configure Proforma Invoice in Odoo 18 SalesCeline George
油
In this slide, well discuss on how to configure proforma invoice in Odoo 18 Sales module. A proforma invoice is a preliminary invoice that serves as a commercial document issued by a seller to a buyer.
Hannah Borhan and Pietro Gagliardi OECD present 'From classroom to community ...EduSkills OECD
油
Hannah Borhan, Research Assistant, OECD Education and Skills Directorate and Pietro Gagliardi, Policy Analyst, OECD Public Governance Directorate present at the OECD webinar 'From classroom to community engagement: Promoting active citizenship among young people" on 25 February 2025. You can find the recording of the webinar on the website https://oecdedutoday.com/webinars/
Research Publication & Ethics contains a chapter on Intellectual Honesty and Research Integrity.
Different case studies of intellectual dishonesty and integrity were discussed.
Mastering Soft Tissue Therapy & Sports Taping: Pathway to Sports Medicine Excellence
This presentation was delivered in Colombo, Sri Lanka, at the Institute of Sports Medicine to an audience of sports physiotherapists, exercise scientists, athletic trainers, and healthcare professionals. Led by Kusal Goonewardena (PhD Candidate - Muscle Fatigue, APA Titled Sports & Exercise Physiotherapist) and Gayath Jayasinghe (Sports Scientist), the session provided comprehensive training on soft tissue assessment, treatment techniques, and essential sports taping methods.
Key topics covered:
Soft Tissue Therapy The science behind muscle, fascia, and joint assessment for optimal treatment outcomes.
Sports Taping Techniques Practical applications for injury prevention and rehabilitation, including ankle, knee, shoulder, thoracic, and cervical spine taping.
Sports Trainer Level 1 Course by Sports Medicine Australia A gateway to professional development, career opportunities, and working in Australia.
This training mirrors the Elite Akademy Sports Medicine standards, ensuring evidence-based approaches to injury management and athlete care.
If you are a sports professional looking to enhance your clinical skills and open doors to global opportunities, this presentation is for you.
Blind spots in AI and Formulation Science, IFPAC 2025.pdfAjaz Hussain
油
The intersection of AI and pharmaceutical formulation science highlights significant blind spotssystemic gaps in pharmaceutical development, regulatory oversight, quality assurance, and the ethical use of AIthat could jeopardize patient safety and undermine public trust. To move forward effectively, we must address these normalized blind spots, which may arise from outdated assumptions, errors, gaps in previous knowledge, and biases in language or regulatory inertia. This is essential to ensure that AI and formulation science are developed as tools for patient-centered and ethical healthcare.
How to create security group category in Odoo 17Celine George
油
This slide will represent the creation of security group category in odoo 17. Security groups are essential for managing user access and permissions across different modules. Creating a security group category helps to organize related user groups and streamline permission settings within a specific module or functionality.
Unit 1 Computer Hardware for Educational Computing.pptxRomaSmart1
油
Computers have revolutionized various sectors, including education, by enhancing learning experiences and making information more accessible. This presentation, "Computer Hardware for Educational Computing," introduces the fundamental aspects of computers, including their definition, characteristics, classification, and significance in the educational domain. Understanding these concepts helps educators and students leverage technology for more effective learning.
#19: Have you been in places like these?
Why do people love to buy in these places?
#20: Do you apply mathematical concepts when you buy one?
Or you just depend on the computations of the sellers?
Of course when we shop, sabi nga sa radiyo, importanteng makamura ka ng makarami ka.
If you have same options but offer different prices, what would you choose?
Lets see.
#21: You want to buy a pair of shoes.
Store A offers a pair of shoes at Php 4,999.00 with a discount rate of 20% while Store B offers the same pair of shoes at Php 5,999.00 with a discount rate of 25%.
Which will you buy?