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IntegersAbsoluteValue.ppt

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This document discusses integers, absolute value, comparing and ordering integers. It defines integers as positive and negative whole numbers and explains how to graph integers on a number line. It describes how to order integers from least to greatest and defines absolute value as the distance from zero. It provides examples of evaluating absolute value, identifying opposites, comparing integers, and ordering integers from least to greatest.

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Integers, Absolute Value, Comparing & Ordering Review
Integers Integers are all of the positive and negative whole numbers. There are no fractions or decimals that are integers. .. -3, -2, -1, 0, 1, 2, 3 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Negative Direction Positive Direction
Graphing Integers on a number line 1) Draw a number line 2) Graph an Integer by drawing a dot at the point that represents the integer. Example: -6, -2, and 3 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Graphing Integers on a number line 1) Graph -7, 0, and 5 2) Graph -4, -1, and 1 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Order Integers from Least to Greatest You need to know which numbers are bigger or smaller than others, so we need to order them from least to greatest. Example: Order the integers -4, 0, 5, -2, 3, -3 from least to greatest. The order is -4, -3, -2, 0, 3, 5. -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Order Integers from least to greatest 1) Order the integers 4,-2,-5,0,2,-1 from least to greatest. 2) Order the integers 3,4,-2,-5,1,-7 from least to greatest. -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Absolute Value Absolute value of a number is the DISTANCE to ZERO. Distance cannot be negative, so the absolute value cannot be negative. -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 5 5 5 5 0 0
Absolute Value Evaluate the absolute value: Ask yourself, how far is the number from zero? 1) | -4 | = 2) | 3 | = 3) | -9 | = 4) | 8 - 3 | + = -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Opposites Two numbers that have the same ABSOLUTE VALUE, but different signs are called opposites. Example -6 and 6 are opposites because both are 6 units away from zero. | -6 | = 6 and | 6 | = 6 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Using Absolute Value in Real Life The graph shows the position of a diver relative to sea level. Use absolute value to find the divers distance from the surface.
Comparing Integers Compare -4 and 1 using <, =, or >. Remember, numbers increase going from left to right. -4 < 1
Ordering Integers Order the numbers -8, 7, -4, and 3 from least to greatest. Use a number line to plot the points. Then put them in order from least to greatest. Remember, numbers increase going from left to right. -8, -4, 3, and 7
l-4l l-3l >
l12l l-12l =
l-20l l10l >

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IntegersAbsoluteValue.ppt

  • 2. Integers Integers are all of the positive and negative whole numbers. There are no fractions or decimals that are integers. .. -3, -2, -1, 0, 1, 2, 3 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Negative Direction Positive Direction
  • 3. Graphing Integers on a number line 1) Draw a number line 2) Graph an Integer by drawing a dot at the point that represents the integer. Example: -6, -2, and 3 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
  • 4. Graphing Integers on a number line 1) Graph -7, 0, and 5 2) Graph -4, -1, and 1 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
  • 5. Order Integers from Least to Greatest You need to know which numbers are bigger or smaller than others, so we need to order them from least to greatest. Example: Order the integers -4, 0, 5, -2, 3, -3 from least to greatest. The order is -4, -3, -2, 0, 3, 5. -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
  • 6. Order Integers from least to greatest 1) Order the integers 4,-2,-5,0,2,-1 from least to greatest. 2) Order the integers 3,4,-2,-5,1,-7 from least to greatest. -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
  • 7. Absolute Value Absolute value of a number is the DISTANCE to ZERO. Distance cannot be negative, so the absolute value cannot be negative. -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 5 5 5 5 0 0
  • 8. Absolute Value Evaluate the absolute value: Ask yourself, how far is the number from zero? 1) | -4 | = 2) | 3 | = 3) | -9 | = 4) | 8 - 3 | + = -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
  • 9. Opposites Two numbers that have the same ABSOLUTE VALUE, but different signs are called opposites. Example -6 and 6 are opposites because both are 6 units away from zero. | -6 | = 6 and | 6 | = 6 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
  • 10. Using Absolute Value in Real Life The graph shows the position of a diver relative to sea level. Use absolute value to find the divers distance from the surface.
  • 11. Comparing Integers Compare -4 and 1 using <, =, or >. Remember, numbers increase going from left to right. -4 < 1
  • 12. Ordering Integers Order the numbers -8, 7, -4, and 3 from least to greatest. Use a number line to plot the points. Then put them in order from least to greatest. Remember, numbers increase going from left to right. -8, -4, 3, and 7