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Chapter One

Chapter One. Adding & Subtracting Integers. Adding Integers Key Concepts. Adding Integers with Same Sign The sum of two positive integers is positive. 3+2=5 The sum of two negative integers is negative. -3+(-2) = -5 Adding Integers with Different Signs

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Chapter One

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  1. Chapter One Adding & Subtracting Integers

  2. Adding Integers Key Concepts • Adding Integers with Same Sign • The sum of two positive integers is positive. • 3+2=5 • The sum of two negative integers is negative. • -3+(-2) = -5 • Adding Integers with Different Signs • To add two different signs, find the difference of their absolute values. The result will keep the sign of the integer with the greater absolute value. • 3+(−2) • Find the difference of their absolute values |3| − |-2| = 3 − 2 =1 • The result will keep the sign of the highest absolute value • |3| > |- 2| therefore the result will be positive 1 • 3+ (-2) = 1

  3. Find the sums: • 14 + (-11) • 3 • -6 + (-7) • -13 • -26 + (-39) • -65 • 450 + (-350) • 100 • 19 + (-9) + 45 + (-32) • 23

  4. Geography • The highest peak at Mt. Ellsworth in Montana is 3,275 m lower than the highest peak of Mt. Kilimanjaro in Kenya, at 5,895 m. Find the elevation of the highest peak at Mt. Ellsworth. • First find the expression. • Then evaluate the expression to find the final answer. • 5,895 − 3,275 • 2,620 meters

  5. Subtracting Integers Key Concepts • Subtracting Integers • To subtract an Integer, add its opposite. • 4 − 7 = (in words: positive four minus positive seven) • 4 + (−7) adding the opposite of positive seven • Use the rule of adding integers with different signs: • Find the difference of the absolute values • |-7| − |4| = 7 − 4 = 3 • The result will keep the sign of the highest absolute value • |-7| > |4| therefore the result will be negative • 4 + (−7) = -3 • 4 − 7 = -3

  6. Write each difference as a sum and solve • 6 - 2 • 6 + (-2) = 4 • 6 – (-2) • 6 + 2 = 8 • -6 – 2 • -6 + (-2) = -8 • 2 – 6 • 2 + (-6) = -4 • 35 – 15 • 35 + (-15) = 20

  7. Account Balances • Terry has $43 in a checking account. If Terry writes a check for $62, what is the new account balance? • First write an expression • Solve the expression to find the result • $43 – $62 • 43 + (-62) = -$19

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