Integers Absolute Value

Name: ______Date: ______Integers Numbers greater than 0 are called positive numbers. (1, 2, 3…) Numbers less than 0 are called negative numbers. (-1, -2, -3…) Zero is neither positive nor negative. Integers are the set of whole numbers and their opposites. This set includes the positive numbers, the negative numbers and zero. negative integers positive integers

-5 -4 -3 -2 -1 0 1 2 3 4 5

opposites

Opposites are a pair of numbers that are equal distances away from zero on opposite sides of zero on the number line. Show relationships between negative numbers, and between positive and negative numbers with the signs <, >, or =. For example: -3 > -5 -2 < 4 1 > -1 -9 = -9

Absolute Value When dealing with integers at this math level, the distance of a number from zero is called that number’s absolute value. It is written as |x|, meaning the absolute value of x. For example: The absolute value of -2 is 2, because -2 is 2 spaces from 0. It is written as |-2| = 2 Absolute value tells how far from zero. Positive and negative signs tell in which direction from zero.

Name: ______Date: ______Integers in Real-World Context

Integers can be found in real world situations, such as…

Temperature: In both the Celsius and Fahrenheit scales, temperatures sometimes fall below 0 degrees. When that happens, the temperature is written as a negative number.

Example: The temperature at 6pm was 5°C. The temperature dropped 10° in one hour. At 7pm, the temperature was -5°C.

Accounting: If the balance of a financial account falls below 0 dollars, it is listed as a negative number. That means there is a deficit (or debt) in the account.

Example: Martin had $45 in his bank account. He spent $20 on Tuesday, $5 on Wednesday, and $30 on Thursday. His bank account balance is -$10.

Elevation: Sea level is considered to be 0 elevation. Any elevation above that is a positive number. Any elevation below that may be listed as a negative number.

Example: Mt. McKinley, the highest elevation in North America, is 20,320 feet above sea level. Death Valley is 20,602 feet lower than Mt. McKinley. Death Valley is the lowest elevation in North America at -282 feet.

Name: ______Date: ______Integer Practice Compare. Write < or > on the line. 1. -2 __ -6 11. -40 __ -16 21. 15 __ 3 2. 8 __ -1 12. 15 __ -15 22. -22 __ -12 3. -12 __ -6 13. -9 __ -32 23. 4 __ -26 4. 3 __ 8 14. 14 __ -27 24. 14 __ -9 5. 1 __ -10 15. -32 __ 5 25. -27 __ -8 6. -12 __ -20 16. 14 __ -56 26. 2 __ -7 7. 4 __ -17 17. 3 __ -27 27. 16 __ -64 8. -19 __ -10 18. -1 __ -98 28. -1 __ -12 9. -7 __ 3 19. -27 __ 4 29. 24 __ 96 10. 14 __ -19 20. 1 __ -7 30. -4 __ -77 Absolute Value Practice Complete. 1. |-5| = ___ 11. |-17| = ___ 21. |-456| = ___ 2. |12| = ___ 12. |4| = ___ 22. |- 47| = ___ 3. |-16| = ___ 13. |6| = ___ 23. |96| = ___ 4. |-27| = ___ 14. |-14| = ___ 24. |-73| = ___ 5. |42| = ___ 15. |-26| = ___ 25. |21| = ___ 6. |9| = ___ 16. |42| = ___ 26. |-197| = ___ 7. |-13| = ___ 17. |-56| = ___ 27. |-3| = ___ 8. |-22| = ___ 18. |-4| = ___ 28. |91| = ___ 9. |96| = ___ 19. |98| = ___ 29. |-5| = ___ 10. |-3| = ___ 20. |-107| = ___ 30. |-89| = ___

Name: ______Date: ______Opposites Practice Write the opposite of the number in the blank. 1. -3, ____ 5. 32, ____ 9. -67, ____ 2. -9, ____ 6. -43, ____ 10. 183, ____ 3. 7, ____ 7. -214, ____ 11. -951, ____ 4. 12, ____ 8. 89, ____ 12. 204, ____

Temperature Comparison Practice Circle the temperature that is warmer. 13. -31° or -12° 17. 23° or -23° 21. 0° or 2° 14. -4° or -14° 18. -2° or -6° 22. 28° or -8° 15. -10° or 0° 19. -16° or -10° 23. -9° or -19° 16. -45° or 4° 20. -5° or 15° 24. -23° or -32°

Elevation Comparison Practice Circle the elevation that is higher. 25. -205 ft. or -207 ft. 28. -912 ft. or -513 ft. 26. -3,206 ft. or -2,306 ft. 29. -68 ft. or 17 ft. 27. 567 ft. or -765 ft. 30. -1,239 ft. or -1,390 ft.

Real World Integers Name three real-word uses for integers (positive/negative numbers) besides temperature, accounting and elevation. ______

Name: ______Date: ______ANSWERS - Integer Practice Compare. Write < or > on the line. 1. -2 > -6 11. -40 < -16 21. 15 > 3 2. 8 > -1 12. 15 > -15 22. -22 < -12 3. -12 < -6 13. -9 > -32 23. 4 > -26 4. 3 < 8 14. 14 > -27 24. 14 > -9 5. 1 > -10 15. -32 < 5 25. -27 < -8 6. -12 > -20 16. 14 > -56 26. 2 > -7 7. 4 > -17 17. 3 > -27 27. 16 > -64 8. -19 < -10 18. -1 > -98 28. -1 > -12 9. -7 < 3 19. -27 < 4 29. 24 < 96 10. 14 > -19 20. 1 > -7 30. -4 > -77 ANSWERS - Absolute Value Practice Complete. 1. |-5| = 5 11. |-17| = 17 21. |-456| = 456 2. |12| = 12 12. |4| = 4 22. |- 47| = 47 3. |-16| = 16 13. |6| = 6 23. |96| = 96 4. |-27| = 27 14. |-14| = 14 24. |-73| = 73 5. |42| = 42 15. |-26| = 26 25. |21| = 21 6. |9| = 9 16. |42| = 42 26. |-197| = 197 7. |-13| = 13 17. |-56| = 56 27. |-3| = 3 8. |-22| = 22 18. |-4| = 4 28. |91| = 91 9. |96| = 96 19. |98| = 98 29. |-5| = 5 10. |-3| = 3 20. |-107| = 107 30. |-89| = 89 CCSS.Math.Content.6.NS.C.5-7 © 2013 abcteach.com Math: Integers/Absolute Value

Name: ______Date: ______ANSWERS - Opposites Practice Write the opposite of the number in the blank. 1. -3, 3 5. 32, -32 9. -67, 67 2. -9, 9 6. -43, 43 10. 183, -183 3. 7, -7 7. -214, 214 11. -951, 951 4. 12, -12 8. 89, -89 12. 204, -204

ANSWERS - Temperature Comparison Practice Circle the temperature that is warmer. 13. -31° or -12° 17. 23° or -23° 21. 0° or 2° 14. -4° or -14° 18. -2° or -6° 22. 28° or -8° 15. -10° or 0° 19. -16° or -10° 23. -9° or -19° 16. -45° or 4° 20. -5° or 15° 24. -23° or -32°

ANSWERS - Elevation Comparison Practice Circle the elevation that is higher. 25. -205 ft. or -207 ft. 28. -912 ft. or -513 ft. 26. -3,206 ft. or -2,306 ft. 29. -68 ft. or 17 ft. 27. 567 ft. or -765 ft. 30. -1,239 ft. or -1,390 ft.

ANSWERS - Real World Integers Name three real-word uses for integers (positive/negative numbers) besides temperature, accounting and elevation. Answers will vary.