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Mastering Adding and Subtracting Real Numbers

Learn to add and subtract integers and rational numbers using rules of addition and subtraction, opposites, additive inverses, and number lines. Practice evaluating expressions and solving real-world problems.

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Mastering Adding and Subtracting Real Numbers

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  1. Adding and Subtracting Real Numbers Unit 1 Lesson 5

  2. ADDING AND SUBTRACTING REAL NUMBERS Students will be able to: add and subtract integers and rational numbers. Key Vocabulary: • Rules of Addition • Rule of Subtraction • Opposites • Additive Inverse

  3. ADDING AND SUBTRACTING REAL NUMBERS • We can use a number line to add any real numbers. • Adding a positive number by moving to the right. • Adding a negative number by moving to left. -7 2 3 8 1 4 0 7 -9 9 -8 -5 -3 5 -6 6 -2 -1 -4 Negative Numbers Positive Numbers

  4. ADDING AND SUBTRACTING REAL NUMBERS Sample Problem 1: Use a number line to find the sum. -7 -7 -7 2 2 2 3 3 3 8 8 8 1 1 1 4 4 4 0 0 0 7 7 7 -9 -9 -9 9 9 9 -8 -8 -8 -5 -5 -5 -3 -3 -3 5 5 5 -6 -6 -6 6 6 6 -2 -2 -2 -1 -1 -1 -4 -4 -4

  5. ADDING AND SUBTRACTING REAL NUMBERS Sample Problem 1: Use a number line to find the sum. Move 9 units to the right -7 -7 -7 2 2 2 3 3 3 8 8 8 1 1 1 4 4 4 0 0 0 7 7 7 -9 -9 -9 9 9 9 -8 -8 -8 -5 -5 -5 -3 -3 -3 5 5 5 -6 -6 -6 6 6 6 -2 -2 -2 -1 -1 -1 -4 -4 -4 Move 7 units to the left Move 8 units to the right

  6. ADDING AND SUBTRACTING REAL NUMBERS RULES OF ADDITION: without a number line To add two numbers with the same sign: • Add their absolute values. • Attach the common sign. To add two numbers with opposite signs: • Subtract the smaller absolute value from the larger absolute value. • Attach the sign of the number with the larger absolute value.

  7. ADDING AND SUBTRACTING REAL NUMBERS Sample Problem 2: Find the sum.

  8. ADDING AND SUBTRACTING REAL NUMBERS Sample Problem 2: Find the sum.

  9. ADDING AND SUBTRACTING REAL NUMBERS RULE OF SUBTRACTION: without a number line To subtract from, add the opposite of to : The result is the difference of and .

  10. ADDING AND SUBTRACTING REAL NUMBERS Sample Problem 3: Find the difference.

  11. ADDING AND SUBTRACTING REAL NUMBERS Sample Problem 3: Find the difference.

  12. ADDING AND SUBTRACTING REAL NUMBERS OPPOSITESare pair of positive real numbers with its negative. Opposites are additive inverse of each other. ADDITIVE INVERSE of anumber is the number that when add to will yield zero. The opposite of is . The opposite of is . 2 3 1 4 0 -5 -3 5 -6 6 -2 -1 -4

  13. ADDING AND SUBTRACTING REAL NUMBERS Sample Problem 4: Evaluate each expression.

  14. ADDING AND SUBTRACTING REAL NUMBERS Sample Problem 4: Evaluate each expression.

  15. ADDING AND SUBTRACTING REAL NUMBERS Sample Problem 5: The average height of a NBA player is 79 inches while the height of an average man is 69 inches. What is the difference between their heights?

  16. ADDING AND SUBTRACTING REAL NUMBERS Sample Problem 5: The average height of a NBA player is 79 inches while the height of an average man is 69 inches. What is the difference between their heights?

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