Adding Integers 40 Adding Integers on a Number
Adding Integers #40
Adding Integers on a Number Line Move right on a number line to add a positive integer. Move left on a number line to add a negative integer.
Writing Math Parentheses are used to separate addition, subtraction, multiplication, and division signs from negative integers. – 2 + (– 5) = – 7
Example 1: Writing Integer Addition Write the addition modeled on each number line. A. – 1 0 1 2 3 4 5 6 The addition modeled is 5 + (– 4) = 1. B. – 5 – 4 – 3 – 2 – 1 0 1 2 3 4 The addition modeled is – 4 + 7 = 3.
Example 1: Writing Integer Addition Continued Write the addition modeled on each number line. C. – 4 – 3 – 2 – 1 0 1 2 3 4 The addition modeled is 3 + (– 5) = – 2.
Example 2 Write the addition modeled on each number line. A. – 1 0 1 2 3 4 5 6 The addition modeled is 6 + (– 3) = 3. B. – 5 – 4 – 3 – 2 – 1 0 1 2 3 4 The addition modeled is – 2 + 3 = 1.
Example 2 Continued Write the addition modeled on each number line. C. – 4 – 3 – 2 – 1 0 1 2 3 4 The addition modeled is 4 + (– 7) = – 3.
Example 3 Find the sum. – 3 + (– 2) – 6 – 5 – 4 – 3 – 2 – 1 0 1
Example 4 Find the sum. 6 + (– 8) – 3 – 2 – 1 0 1 2 3 4 5 6 7
Example 5 Find the sum. – 2 + (– 4) – 6 – 5 – 4 – 3 – 2 – 1 0 1
Example 6 Find the sum. 3 + (– 6) – 3 – 2 – 1 0 1 2 3 4 5 6 7
Example 7 Evaluate y + (– 2) for y = 7.
Example 8 Evaluate z + (– 4) for z = 2.
Real-World Application 1 A sunken ship is 12 m below the sea level. A search plane flies 35 m above the sunken ship. How far above the sea is the plane?
Real-world Application 2 A sunken treasure chest is 33 m below the sea level. A search plane flies 54 m above the sunken treasure chest. How far above the sea is the plane?
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