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Integers Subtraction: Understanding Range Concept

Learn how to subtract integers and find the range between the greatest and least numbers in a set. Practice with positive and negative integers.

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Integers Subtraction: Understanding Range Concept

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  1. Transparency 5 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 5-6b Objective Subtract integers

  4. Example 5-6b Review Vocabulary Range The difference between the greatest number and the least number in a set of data

  5. Example 5-6b Subtract Integers 1. Separate numbers with sign in front of number 4 - 7 4 - 7 Place a positive sign between them, then follow the addition rules 4 - 7 + Follow addition rules

  6. Example 5-6b Subtract Integers 2. Combine 2 negative signs and make a positive 4 - (- 7) 4 + 7 Follow addition rules

  7. Lesson 5 Contents Example 1Subtract Positive Integers Example 2Subtract Positive Integers Example 3Subtract Negative Integers Example 4Subtract Negative Integers Example 5Evaluate an Expression Example 6Use Integers to Solve a Problem

  8. Find Example 5-1a Write problem Separate numbers with sign in front of number 2 - 15 Place a positive sign between them, then follow the addition rules 2 - 15 + different Draw arrows to the signs Determine if the signs are the same or different 1/6

  9. Find Example 5-1a Different signs, subtract the numbers without the signs 15 - 2 (Remember: big number - small number) 2 - 15 2 - 15 + different Keep sign of largest number 15 - 2 - 13 Answer: –13 1/6

  10. Find Example 5-1b Answer: –8 1/6

  11. Find Example 5-2a Write problem -13 - 8 Separate numbers with sign in front of number -13 - 8 + Place a positive sign between them, then follow the addition rules same Draw arrows to the signs Determine if the signs are the same or different 2/6

  12. Find Example 5-2a Same sign, add the numbers without the signs 13 + 8 -13 - 8 Keep the sign -13 - 8 + same 13 + 8 21 - Answer: –21 2/6

  13. Find Example 5-2b Answer: –20 2/6

  14. Find Example 5-3a Write problem Combine the negative signs and make a positive sign 12 – (-6) Draw arrows to the signs 12 + 6 Determine if the signs are the same or different Same Same sign, add the numbers without the signs 12 + 6 12 + 6 18 Keep the sign Answer: 18 3/6

  15. Find Example 5-3b Answer: 13 3/6

  16. Find Example 5-4a Write problem Combine the negative signs and make a positive sign 21 – (-8) Draw arrows to the signs 21 + 8 Determine if the signs are the same or different Same 21 + 8 Same sign, add the numbers without the signs 21 + 8 29 Keep the sign Answer: 29 4/6

  17. Find Example 5-4b Answer: 23 4/6

  18. ALGEBRA Evaluate Example 5-5a Write problem g - h Replace g with - 2 Bring down - -2 -2 - -2 - (-7) Replace h with - 7 - 2 + 7 Combine the negative signs and make a positive sign different Draw arrows to the signs Determine if the signs are the same or different 5/6

  19. ALGEBRA Evaluate Example 5-5a Different signs, subtract the numbers without the signs 7 - 2 (Remember: big number - small number) g - h -2 -2 - -2 - (-7) - 2 + 7 Keep sign of largest number different 7 - 2 5 Answer: 5 5/6

  20. ALGEBRA Evaluate Example 5-5b Answer: –10 5/6

  21. Example 5-6a GEOGRAPHYIn Mongolia, the temperature can dip down to –45C in January. The temperature in July may reach 40C. What is the temperature range in Mongolia? Remember: Range = Greatest value - smallest value 40 - (-45) Find the greatest value Put subtraction sign in expression Find the least value 6/6

  22. Example 5-6a GEOGRAPHYIn Mongolia, the temperature can dip down to –45C in January. The temperature in July may reach 40C. What is the temperature range in Mongolia? Combine the negative signs and make a positive sign 40 - (-45) Draw arrows to the signs Determine if the signs are the same or different 40 + 45 Same sign, add the numbers without the signs 40 + 45 Same 40 + 45 Keep the sign 85 Add dimensional analysis Answer: 85C 6/6

  23. Example 5-6b * TEMPERATUREOn a particular day in Anchorage, Alaska, the high temperature was 15F and the low temperature was –11F. What is the range of temperatures for that day? Answer: 26F 6/6

  24. End of Lesson 5 Assignment

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