ORDER OF OPERATIONS
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This document explains the order of operations to solve mathematical expressions with multiple operations. It states that long ago mathematicians agreed on the acronym MDAS (Multiplication, Division, Addition, Subtraction) as the standard order. Using this problem as an example: 40 ÷ 4 + 6, it works through solving it step-by-step: first doing the division 40 ÷ 4 = 10, then the addition 10 + 6 = 16. It emphasizes following the established order of operations is important to getting the correct answer.
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The document summarizes Jesus' condensing of the Ten Commandments into Two Great Commandments. The first commandment is to love God with all one's heart, soul, and mind, which encompasses the first three commandments about loving God. The second commandment is to love one's neighbor as oneself, representing the last seven commandments about loving others.
INVITATION from Jesus
The document is an invitation from Jesus to live as Christians by following his teachings and example. It explains that Christians are followers of Jesus Christ and that accepting his invitation involves participating in holy mass, serving others, learning to forgive, praying to God, and being good stewards of God's blessings.
Fractions
Fractions represent parts of a whole. The document defines fractions such as halves, thirds, and fourths by showing examples of wholes divided into equal parts. It explains that the numerator represents the number of parts being considered and the denominator represents the total number of equal parts the whole was divided into. Different types of fractions are also defined, including proper fractions where the numerator is less than the denominator, improper fractions where the numerator is greater than the denominator, and mixed numbers that combine a whole number and a fraction.
ODD AND EVEN NUMBERS
This document discusses odd and even numbers, defining even numbers as those that can be divided exactly by 2 and often end in 2, 4, 6, 8, or 0, while odd numbers cannot be divided exactly by 2 and often end in 1, 3, 5, 7, or 9, with 0 being neither odd nor even.
1-Digit divisor
655 ÷ 3 = 218 with a remainder of 1
The document provides a step-by-step explanation of the division process to calculate 655 ÷ 3. It breaks the calculation down into 5 steps: 1) Divide, 2) Multiply, 3) Subtract, 4) Bring Down, 5) Repeat or Remainder. Working through each digit, it arrives at a quotient of 218 with a remainder of 1.
Division
Division is one of the four basic mathematical operations. It involves splitting a number, called the dividend, into equal groups or parts using another number, called the divisor, to find the quotient. There are two forms of writing division - horizontal uses the division symbol ÷, while vertical stacks the dividend above the divisor with the answer below. Division is the opposite of multiplication, so if you know a multiplication fact you can derive the corresponding division fact.
Dividing by 10 AND 100
The document outlines the steps for division which are: divide, multiply, subtract, bring down remainder and repeat. It explains that when dividing multiples of 10 by 10, one zero is canceled, and when dividing multiples of 100 by 100, two zeros are canceled. The remaining digits of the dividend become the quotient. Examples are provided such as 34,000 divided by 10 equals 3,400 and 34,000 divided by 100 equals 340. To divide a number by 5, first divide the dividend by 10 and then multiply the quotient by 2.
Multiples
Multiples of a number are the products obtained when that number is multiplied by 1, 2, 3, and so on. Multiples can be found by skip counting or using a multiplication table and are numbers that are evenly divisible by the original number without a remainder. The document provides examples of finding the first ten multiples of 3 by multiplication and identifies multiples of other numbers using a hundreds chart.
Dividing by 5
This document outlines the steps for division and dividing by zero or multiples of 10 and 100. It explains that to divide by zero is undefined and results in a non-terminating decimal. It also provides instructions for dividing numbers by 5, which involves first dividing the dividend by 10 and then multiplying the quotient by 2.
2-DIGIT DIVISOR
Dividing numbers with two-digit divisors is done using the same process as one-digit division. The steps are: 1) Divide, 2) Multiply, 3) Subtract, 4) Bring Down the next digit, 5) Repeat until there is no digit left to bring down. This is demonstrated through examples of dividing 475 by 25 and 4163 by 23.
Elements of a Short Story.ppt
This document outlines the key elements of a short story, including title, characters, setting, plot, and lesson. It defines each element and provides examples. The plot section explains the 5 elements - exposition, rising action, climax, falling action, and resolution. It notes that characters are introduced through physical descriptions, actions, dialogue, thoughts, and what others say. Setting is established through descriptions of time, place, landscape, and weather. Conflict can be external between characters/nature or internal within a character.
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Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
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ORDER OF OPERATIONS
- 2. What is the answer to this? 40 ÷ 4 + 6 = ?
- 3. What should we do to find the answer to the problem?
- 4. What operation should we do first? Division or Addition?
- 5. What is the answer to this? 40 ÷ 4 + 6 = ? My answer is 4. My answer is 16. Ritz Laine
- 6. Looking at their answers, it seems that both of their answers are correct. But…..
- 7. If we follow the rule for ORDER OF OPERATIONS, we will find out the correct answer.
- 8. Long ago, mathematicians agreed on a rule to find the answer to such a problem.
- 9. When a problem has more than one operation, they are to do the operations in a certain order.
- 10. What is the answer to this? 40 ÷ 4 + 6 = ? My answer is 4. My answer is 16. Ritz Laine Who do you think get the correct answer?
- 11. In this expression, we will follow:
- 12. Add + Subtract - Multiply x Divide M D A S
- 13. In this problem, we will do division first. 40 ÷ 4 + 6 = ?
- 14. 40 ÷ 4 + 6 = ? 10
- 15. Then, next is addition. 40 ÷ 4 + 6 = ? 10 + 6 = 16
- 16. What is the answer to this? 40 ÷ 4 + 6 = ? My answer is 4. My answer is 16. Ritz Laine
- 17. REMEMBER:
- 18. When addition and subtraction come in a row, you do the operation as they occur.
- 19. EXAMPLE 1 54 + 67 – 10 = ? 121 – 10 = 111 EXAMPLE 2 234 – 67 + 87 = ? 167 + 87 = 254
- 20. When multiplication and division come in a row, you do the operation as they occur.
- 21. EXAMPLE 1 45 ÷ 9 X 5 = ? 5 X 5 = 25 EXAMPLE 2 20 X 5 ÷ 2 = ? 100 ÷ 2 = 50
- 22. When all four operation are together in an expression, follow MDAS (Multiplication, Division, Addition, Subtraction)
- 23. EXAMPLE 1 30 + 16 - 7 X 4 ÷ 2 = ? 30 + 16 – 28 ÷ 2 = ? 30 + 16 – 14 = ? 46 – 14 = 32 EXAMPLE 1 8 x 14 – 60 ÷ 5 + 34 = ? 112 – 60 ÷ 5 + 34 = ? 112 – 12 + 34 = ? 100 + 34 = 134
- 24. Thank You!!!