# Solutions: Integers

#### Introduction to Integers

 Exercise Problem Solution 1 Write an integer to represent the following situation: Earnings of 15 dollars +15 2 Write an integer to represent the following situation: A loss of 20 yards -20 3 What is the opposite of -231? +231 or 231 4 What is the opposite of +1096? (Do not enter a comma in your answer.) -1096 5 Solve the following problem using integers. Jenny has \$2. She earns \$5, spends \$10, earns \$4, then spends \$3. How many dollars does she have or owe? (Enter an integer in the space below.) \$-2

#### Absolute Value

 Exercise Problem Solution 1 Find the absolute value of -6. 6 2 Find |+15| 15 3 Find |-31| 31 4 Find |+31| 31 5 How many values of y will you get when you solve |y| = 29? 2

#### Comparing and Ordering Integers

 Exercise Problem Solution 1 Compare these integers and enter < or > in the space provided. -10  <   +9 2 Compare these integers and enter < or > in the space provided. +7  >   -8 3 Which of the following choices lists these integers in order from least to greatest?-15, 0, +14, -17, +16, -19 0, +14, -15, +16, -17, -19+16, +14, 0, -15, -17, -19-19, -17, -15, 0, +14, +16 None of the above. -19, -17, -15, 0, +14, +16 4 Which of the following sets of integers is listed in order from least to greatest?  -21, -22, 0, +13, +24, +29-39, -17, -12, 0, +32, +49+46, +37, +29, 0, -25, -33 None of the above. -39, -17, -12, 0, +32, +49 5 Which of the following set of integers is listed in order from greatest to least?  +28, +19, 0, -21, -36, -39-49, -38, 0, +22, +27, +30-52, -47, -40, 0, +16, +20 None of the above. +28, +19, 0, -21, -36, -39

 Exercise Problem Solution 1 -6 + -9 = ? -15 2 +7 + +11 = ? +18 or 18 3 +5 + -3 = ? +2 or 2 4 -2 + +7 = ? +5 or 5 5 +9 + -12 = ? -3

#### Subtraction of Integers

 Exercise Problem Solution 1 +6 - +9 = ? +6 + -9 = -3 2 +11 - -8 = ? +11 + +8 = +19 or 19 3 -13 - +5 = ? -13 + -5 = -18 4 -2 - -15 = ? -2 + +15 = +13 or 13 5 -9 - +14 = ? -9 + -14 = -23

#### Multiplication of Integers

 Exercise Problem Solution 1 (-2) (+7) = ? -14 2 (-8) (-9) = ? +72 or 72 3 (+9) (+7) = ? +63 or 63 4 (+16) (-3) = ? -48 5 (+4) (-5) (-2) = ? +40 or 40

#### Division of Integers

 Exercise Problem Solution 1 -81 ÷ +3 = ? -27 2 -150 ÷ -6 = ? +25 or 25 3 +96 ÷ -16 = ? -6 4 +102 ÷ +34 = ? +3 or 3 5 -144 ÷ +12 = ? -12

#### Operations With Integers

 Exercise Problem Solution 1 -8 + -15 = ? -23 2 (-16) (-3) = ? +48 or 48 3 +72 ÷ +2 = ? +36 or 36 4 +7 - -21 = ? +7 + +21 = +28 or 28 5 (+8) (-7) = ? -56 6 -108 ÷ -12 = ? +9 or 9 7 -6 - -15 = ? -6 + +15 = +9 or 9 8 +23 + -30 = ? -7

#### Practice Exercises

 Exercise Problem Solution 1 Find |-79| 79   (Note: The result of an absolute value is an unsigned number) 2 Find |+54| 54   (Note: The result of an absolute value is an unsigned number) 3 Which of the following sets of integers is listed in order from least to greatest? +36, +27, +23, 0, -21, -28 0, +12, +13, -15, -18 -27, -20, 0, +11, +23, +25 None of the above. -27, -20, 0, +11, +23, +25 4 Which of the following sets of integers is listed in order from greatest to least? -29, -26, -15, 0, +22, +25 +39, +17, 0, -11, -15, -19 +46, +37, +29, 0, -33, -25 None of the above. +39, +17, 0, -11, -15, -19 5 Which of the following sets of integers is listed in order from least to greatest? -51, -48, -43, 0, +45, +47 -12, -13, 0, +15, +18, +25 +45, +42, 0, -40, -37, -35 None of the above. -51, -48, -43, 0, +45, +47 6 -5 + +12 = ? -5 + +12 = +7 or 7 7 (-18) (-4) = ? (-18) (-4) = +72 or 72 8 -102 ÷ +3 = ? -102 ÷ +3 = -34 9 +18 - +23 = ? +18 - +23 = +18 + -23 = -5 10 (-2) (+6) (-4) = ? (-2) (+6) (-4) = (-12) (-4) = +48 or 48