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Chapter 2

1. Chapter. Chapter 2. The Whole Numbers. An Introduction to Problem Solving. Section. 1.8. Dividing Whole Numbers. The process of separating a quantity into equal parts is called division. Addition, Subtraction, Multiplication, or Division. Problem Solving Steps. Problem-Solving Steps.

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Chapter 2

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  1. 1 Chapter Chapter 2 The Whole Numbers

  2. An Introduction to Problem Solving Section 1.8

  3. Dividing Whole Numbers The process of separating a quantity into equal parts is called division.

  4. Addition, Subtraction, Multiplication, or Division

  5. Problem Solving Steps Problem-Solving Steps • 1. UNDERSTAND the problem. Some ways of doing this are to read and reread the problem, construct a drawing, and look for key words to identify an operation. • 2. TRANSLATE the problem. That is, write the problem in short form using words, and then translate to numbers and symbols.

  6. Problem Solving Steps Problem-Solving Steps • 3. SOLVE the problem. It is helpful to estimate the solution by rounding. Then carry out the indicated operation from step 2. • 4. INTERPRET the results. Check the proposed solution in the stated problem and state your conclusions. Write your results with the correct units attached.

  7. Example There are 24 hours in a day. How many hours are in a week? TRANSLATE the problem. 24  7 = 168 hours Lets see if our answer is reasonable by estimating. 20  10 = 210 hours The answer is reasonable since 168 is close to our estimated answer of 200. There are 168 hours in a week.

  8. Example • The building called 555 California Street is the second tallest building in San Francisco, California, at 779 feet. The tallest building in San Francisco is the Transamerica Pyramid, which is 74 feet taller than the Bank of 555 California Street. How tall is the Transamerica Pyramid? (Source: The World Almanac)

  9. Example • The building called 555 California Street is the second tallest building in San Francisco, California, at 779 feet. The tallest building in San Francisco is the Transamerica Pyramid, which is 74 feet taller than the Bank of 555 California Street. How tall is the Transamerica Pyramid? (Source: The World Almanac)

  10. Example (cont) • 1. Understand.

  11. Example (cont) • 2. Translate. • Words: Transamerica Pyramid is 74 feet taller than the Bank of 555 California Street. • Translate: Transamerica = 779 + 74 • 3. Solve. The Transamerica Pyramid is 853 feet tall.

  12. Example • Four friends bought a lottery ticket and won $65,000. If each person is to receive the same amount of money, how much does each person receive? • Solve: • Each person receives $16,250.

  13. Example • The director of the learning lab also needs to include in the budget a line for 425 blank CDs at a cost of $4 each. What is this total cost for the blank CDs? • Solve: • The total cost of the CDs is $1700.

  14. Example • In 2012, the average salary for a public school teacher in Alaska was $65,468. For the same year, the average salary for a public school teacher in Hawaii was $11,168 less than this. What was the average public school teacher’s salary in Hawaii? (Source: National Education Association) • The average teacher’s salary was $54,300.

  15. Using More Than One Operation Find the total cost of 10 computers at $2100 each and 7 boxes of diskettes at $12 each. Example: The total cost is $21,084.

  16. Example • A gardener is trying to decide how much fertilizer to buy for his yard. He knows that his lot is in the shape of a rectangle that measures 90 feet by 120 feet. He also knows that the floor of his house is in the shape of a rectangle that measures 45 feet by 65 feet. How much area of the lot is not covered by the house?

  17. Example (cont) • Area of the yard – Area of the house • (120)(90) – (65)(45) • 10,800 – 2925 • 7875 • The area of the yard is • 7875 square feet.

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