# Operations With Integers

2y ago
8 Views
887.59 KB
10 Pages
Last View : 1m ago
Transcription

Find the sum or difference.1. -80 772. 77 1603. -64 (-33)4. 104 - (-92)5. -105 - (-122)6. 185 - (-154)7. -53 - (-59)8. -6 (-35)9. 15 - (-26) - (-39)10. -93 191 (-179)11. 18 (-34) 5212. -50 - (-93) (-17)Find the product or quotient.13. 60 1214. -194 (-2)15. 88 (-2)16. -12 1017. -10 (-11)18. 90 (-6)19. 3 (-59)20. -7 (-2)21. -28 (-88) (-22)22. -56 140 (-80)23. 108 (-11) (-11)24. -84 (-17) 42Evaluate the numerical expression. (Be sure to use the order of operations!)25. -78 (-2) (-56)26. -65 6 (-3) 4027. -94 - (84 - 10)28. 43 (-23) - (-57)29. -15 - (-11) 5 (-4)30. -26 - (-64) (-93)31. -84 4 (-20)32. -56 (-50) (-10) (-9)

Find the sum, difference, product, or quotient.33. 38.61 36.84134. 1.755 - 1.2335. 0.71 9.236. 13.12 0.137. 3.651 - (-12.63)38. -3.9 (-7.6)39. 17.6 4.340. 6 (-16.7)41. 26.474 - 14.52742. -2.1 3.7843. -6.15 (-8.2)44. -12.8 (-4.88)Find the sum, difference, product, or quotient.45. 15 1/2 15 1/446. 18 11/20 - 17 1/247. 2 1/4 1 4/548. 3 1/2 1 3/749. 3 1/3 - 5 1/950. 5 (-1 2/5)51. -4 2/3 (-1 3/4)52. - 5/6 (-2 1/6)53. 9 (-4 1/2)54. -18 3 4/555. -5 2/3 (-2 5/6)56. -5 3/4 - (-3 7/8)

Solving EquationsSolving One-Step Equations Cancel out the number on the same side of the equation as the variable by using theinverse operation. (Addition/Subtraction; Multiplication/Division). Be sure to do the samething to both sides of the equation!ex: 6x -18ex: y 23 -9ex:h 43ex: w - 13 -56x -1866answer: x -3y 23 -9-23 -233· h 4 ·33w - 13 -5 13 13answer: y -32answer: h 12answer: w 8Solving Two-Step Equations Undo operations using inverse operations one at a time using the order of operations inreverse. (i.e.: undo addition/subtraction before undoing multiplication/division)ex: 7x - 4 -32jex: 5 13 15ex:b 73 -27x - 4 -32 4 4j13 155 -13-133 · b 7 -2 · 337x -2877j5·5 2 ·5b 7 -6-7 -7answer: x -4answer: j 10answer: b -13

Solve the one-step equation.57. 19 j -3458. m - 26 1361. g - (-31) -762.h9 13x -360. 12f 21663. b (-3) -964. -4w -28067. 4 3r -868. 1/2p - 4 759.5Solve the two-step equation.65. 5m - 3 2769.k 83 -273. -18 - 3/4 v 3y66. 7 -3270.74.f5- (-13) 12-5 n4 -1g -572. -8 4m 275. 3.5m 0.75 -6.2576. 2y 3 1971. -15 -3

Proportions and PercentSolving Proportions Set cross-products equal to each other and then solve the one-step equation for the givenvariable.ex:5 4 b 105 ·10 4b50 4b44answer: b 12.5Solving Percent Problems with Proportions % partSet up and solve a proportion as follows: 100 wholex 25100 500ex: 25 is what percent of 500?ex: What is 15% of 88?ex: 18 is 30% of what number?15 x100 88answer: x 5%answer: x 13.230 18100 xanswer: x 60Solving Percent Problems with Equations Translate the question to an equation and then solve. (Be sure to convert percents todecimals or fractions.)ex: 20 is 40% of what number?ex: 8 is what percent of 32?ex: What is 25% of 88?20 0.4x8 32xx 0.25 · 88answer: x 50x 0.25answer: 25%answer: x 22Real-World Percent Problems(This is just one way of many to solve real-world percent problems) Tax: Find the amount of tax using a proportion or equation. Then add the tax to theoriginal amount to find the total cost. Discount: Find the amount of the discount using a proportion or equation. Then subtractthe amount of discount from the original price to find the sale price.

Solve the proportion.77.81.h20 624515 k2078.82.57 32112c79.14 a1483.6 816 721b18g80.84.30jw60 263915200Solve the percent problem.85. Find 15% of 85.86. 6 is 75% of whatnumber?87. 40 is what percentof 320?88. What is 20% of 45?89. 70 is what percentof 350?̅ % of 81.90. Find 33.391. A 58 camera is onsale for 20% off.Find the sale price.92. Find the total priceof a 14.00 shirtincluding the 7%sales tax.

GeometryGeometry Basics Perimeter is the distance around a polygon Circumference is the distance around a circle Area is the space inside a figure Volume is the capacity of a 3-dimensional figure Surface Area is the sum of the areas of all the faces on a 3-dimensional figure2-Dimensional Geometry Formulas Perimeter of Any Figure: sum of side lengths Circumference π · diameter Area of Parallelogram base · height 1Area of Triangle 2 · base · height 1Area of Trapezoid 2 · height(base1 base2) Area of Circle π · radius23-Dimensional Geometry Formulas Volume of Rectangular Prism length · width · height Volume of Cylinder π · radius2 · height Surface Area of Rectangular Prism 2 · length · width 2 · length · height 2 · height · width Surface Area of Cylinder 2 · π · radius2 2 · π · radius · height

Find the perimeter (or circumference) and area. Use 3.14 for pi.93.94.15 cm23 mm4 cm5 cm9 cm95.2 in5 in3 in6 inFind the surface area and volume.96.97.3 in8 cm2 in8 cm8 cm12 in

Adding & Subtracting Rational Numbers Multiplying & Dividing Rational Numbers Determine whether you should add or subtract using integer rules. Then add or subtract. Decimals: Line up the decimal points. Then add or subtract and bring the decimal point down. Use integer rules to determine the sign of the answer.

Related Documents:

Write general rules for adding (a) two integers with the same sign, (b) two integers with different signs, and (c) an integer and its opposite. Use what you learned about adding integers to complete Exercises 8 –15 on page 12. 1.2 Lesson 10 Chapter 1 Operations with Integers Adding Integers with the Same Sign

2 Integers and Introduction to Solving Equations 98 2.1 Introduction to Integers 99 2.2 Adding Integers 108 2.3 Subtracting Integers 116 2.4 Multiplying and Dividing Integers 124 Integrated Review—Integers 133 2.5 Order of Operations 135 2.6 Solving Equations: The Addition and Multiplication Properties 142 Group Activity 151 ocabulary CheckV 152

Substituting Variable Values in Program Understand how real numbers and integers are treated by the CNC control Real numbers are any number rational or irrational Real numbers include integers 1.25, -.3765, 5, -10 are all real numbers Integers are whole numbers 2500, 3, 20 Numbers with decimals are not integers i.e. 1.25 Some NC words only allow integers

students have mastered addition of integers, subtraction of integers may be introduced. 4 Subtraction of Integers In a subtraction equation, a b c,a is called the minuend ,b is the subtrahend , and c is the difference . Example 5 involves subtracting integers with same signs and Example 6 involves subtracting integers

TIPS4Math Grade 7 Operations Involving Integers Overall Expectation Students will: Represent, compare, and order numbers, including integers (7m8) Demonstrate an understanding of addition and subtraction of fractions and integers, and apply a variety of computational . Addin

CCBC Math 081 Textbook 3rd Edition Chapter Sections Page Chapter 1 Integers 1.1 Introduction to Integers 1.2 Absolute Value 1.3 Addition of Integers 1.4 Subtraction of Integers Mid-Chapter 1 Review 1.5 Multip

Integers: Addition and Subtraction Reporting Category Computation and Estimation Topic Modeling addition, subtraction, multiplication, and division of integers Primary SOL 7.3 The student will a) model addition, subtraction, multiplication, and division of integers; and b

Inverse property of addition: The sum of a number and its opposite is 0. a 1 (2a) 5 0 2a 1 a 5 0 LESSON 3-7 Gr. 5 NS 2.1: Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results. Gr. 6 NS 2.3: Solve