ORDER OF OPERATION
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The document discusses order of operations when solving mathematical expressions with multiple operations. It states that when an expression contains both addition and subtraction, the operations should be performed from left to right. As an example, it shows working through the expression "27 + 15 - 9" by first adding 27 + 15 to get 42, then subtracting 9 to get the final answer of 33. It provides another example working through the expression "36 - 28 + 120" by first subtracting 36 - 28 to get 8, then adding 120 to get the final answer of 128.
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The partial-sums method involves adding numbers column-by-column from left to right, recording partial sums, and then adding the partial sums.
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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.
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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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ORDER OF OPERATION
- 3. 27 + 15 – 9 = ?
- 4. What should we do to find the answer to the problem?
- 5. 27 + 15 – 9 = ? As you can see, this number phrase contains both addition and subtraction.
- 6. What operation should we do first? Addition or Subtraction?
- 7. Long ago, mathematicians agreed on a rule to find the answer to such a problem.
- 8. When a problem has more than one operation, they are to do the operations in a certain order.
- 9. The rule for addition and subtraction is:
- 10. When addition and subtraction appear in a row, DO THEM IN ORDER THAT THEY APPEAR. That is proceed from left to right.
- 11. 27 + 15 – 9 = ? What operation should we do first? Addition or Subtraction?
- 12. 27 + 15 – 9 = ? We will solve first the addition.
- 13. 27 + 15 – 9 = ? 27 +15
- 14. 27 + 15 – 9 = ? 27 +15 2 1
- 15. 27 + 15 – 9 = ? 27 +15 42 1 42 - 9
- 16. 27 + 15 – 9 = ? 27 +15 42 1 42 - 9 12 3
- 17. 27 + 15 – 9 = ? 27 +15 42 1 42 - 9 3 12 3
- 18. 27 + 15 – 9 = ? 27 +15 42 1 42 - 9 33 12 3
- 19. 36 – 28 + 120= ?
- 20. 36 – 28 + 120= ? 36 - 28
- 21. 36 – 28 + 120= ? 36 - 28 16 2
- 22. 36 – 28 + 120= ? 36 - 28 8 16 2
- 23. 36 – 28 + 120= ? 8 +120 36 - 28 8 16 2
- 24. 36 – 28 + 120= ? 8 +120 8 36 - 28 8 16 2
- 25. 36 – 28 + 120= ? 8 +120 128 36 - 28 8 16 2
- 26. 1. 120 + 67 - 28= 2. 34 - 25+45+34= 3. 45 + 54 – 76 +28= 4. 5 +4 +12 – 6= 5. 8 + 12 – 5 – 2=