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### 040 the whole module

3. 3. -4238625524629__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________.
5. 5. _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________.
6. 6. SUM-
7. 7. _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________.
8. 8. -508026-4977594238625238446ADD THE FOLLOWING</li></ul>SOLUTION<br /><ul><li>6585+8793=__________________
9. 9. 4333+9586=__________________
10. 10. 423381+46537=_______________
11. 11. 546263+9520=________________
12. 12. -420052547752031481+369=__________________
13. 13. 23634+12438=________________
14. 14. 3497+6826=__________________
15. 15. 81650+3897601=______________
16. 16. 7333+62766=_________________
20. 20. 1+4, 0+1, 3+4, 5+0, 5+4
21. 21. 6+4, 7+2, 8+0, 9+2, 10+4
22. 22. 1+6, 3+6, 5+6, 3+10
23. 23. 6+6, 10+6, 6+8, 10+10
24. 24. -4191000367665After adding, try to put dots in every sum. Try to connect the dots by a line in every number to find what the mother of all science is.</li></ul> <br />-503764-485775-486410-498475Add the following numbers correctly.<br /><ul><li>SOLUTION
25. 25. 593423+4467=_____________________
26. 26. 359+4843=________________________
27. 27. 1297+4548=_______________________
28. 28. 696493+266=______________________
29. 29. 1898976+219876=__________________
30. 30. 78589+66533=_____________________
31. 31. -4219575857266485092+1764243=_________________
32. 32. 828637+86464=____________________
33. 33. 12379+2873=______________________
34. 34. 53746+783579=___________________
35. 35. 642578+325646=___________________
36. 36. 12398+6327355=___________________
37. 37. 563745+654689=___________________
38. 38. 57684+8765358=___________________
40. 40. 39, 28_________________
41. 41. 43, 29_________________
42. 42. 69, 51_________________
43. 43. 70, 623________________
44. 44. 890, 431_______________
45. 45. 343, 86________________
46. 46. 987, 652_______________
47. 47. 6232, 7434_____________
48. 48. 853 234, 578____________
49. 49. 6 754 236, 643 123_______</li></ul>SOLUTION:<br />-498517-447453-516435-394290B. Perform the operation using the procedure discussed. Check your answer by using the short method.<br /><ul><li>WRITE YOUR SOLUTION 225+264=____________________________
50. 50. 367+201=____________________________
51. 51. 9 632+2 330=_________________________
52. 52. 1 423+54 673=________________________
53. 53. 543 265+65 223=______________________
54. 54. 673 895 462+54 289=___________________
55. 55. 629 075+57823=_______________________
56. 56. -4209415218440642 890+57 829=______________________
57. 57. 564 872 389+54 738=___________________
58. 58. 12 345+42 321=________________________
59. 59. 3255+6472865=________________________
60. 60. 6437286+56387=_______________________
61. 61. 54390+529=___________________________
62. 62. 6348901+65890=_______________________
64. 64. to develop the skills and knowledge in solving word problems;
65. 65. identify the different steps in word problems involving addition.</li></ul> LOOK AT THE EXAMPLE<br />A farmer gathered 875 eggs from one poultry house and 648 from another. How many eggs did he gather? We want the answer to 875 + 648 =?<br /><ul><li>11 875 +6481 523Add the ones: 5 + 8 = 13 ones = 1 ten + 3 ones.
66. 66. Write 3 in the ones column and bring the 1 ten to
67. 67. the tens column.
68. 68. Add the tens: 1 +7 +2 = 12 tens = 1 hundred + 2
69. 69. tens.
70. 70. Write 2 under the tens column and bring the 1
71. 71. hundred to the hundreds column.
72. 72. Add the hundreds: 1 + 8 + 6 = 15 hundreds = 1
73. 73. thousand + h hundreds. Write 15 to the left of 2. </li></ul> The farmer gathered 1 523 eggs.<br /> Here is another example:<br />1 11 5 986 +3 759 9 745<br />Add: 5 986 + 3 759 =?<br /><ul><li>6 + 9 = 15 =10 + 5
74. 74. 1 ten + 8 tens + 5 tens = 14 tens = 1 hundred + 4 tens.
75. 75. 1 hundred + 9 hundreds +7 hundreds = 17 hundreds = 1
76. 76. thousand + 7 hundreds.
77. 77. 1 thousand +5 thousands + 3 thousands = 9 thousands.</li></ul> Thus, 5 986 + 3 759 = 9 745<br /> 15 326 + 1 456 6782<br />Add: 5 326 + 1 456 =?<br /><ul><li>6 + 6 = 12 =10 + 2
78. 78. 1 ten + 2 tens + 5 tens = 8 tens
79. 79. 3 hundred + 4 hundreds=7 hundreds
80. 80. 5 thousand +1 thousands= 6 thousands.</li></ul> Thus, 5 326 + 1 456 =678<br />-580028-289408WORKSHEET NO. 6<br />NAME: ___________________________________DATE: _____________ <br />YEAR & SECTION: ________________________RATING: ___________<br />Answer the following problem solving<br /><ul><li>
81. 81. -42627551180465Mr. Parma spent Php.260 for a shirt and Php.750for a pair of shoes. How much did he pay in all? __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________.
83. 83. discuss the different steps in problem solving;
85. 85. identify the part of multiplication.
86. 86. perform the multiplication operation properly.</li></ul>4387755318258<br />Multiplication is a repeated addition. It can be thought of as addition repeated a given number of times.<br /> 3 multiplicand ×5 multiplier 15 productsFor example, 3 x 5 = 15 can be solving as 5 + 5 + 5 =15. 3 mean that the 5 is to be used three times. The same problem can also be thought of as 5x 3, or 3 + 3 +3 + 3 + 3 =15. Written this way, the three is used as a total of five times in either case is 15.<br />The number in the upper part is called the multiplicand and in the lower position is called the multiplier. The answer in the multiplication is called product.<br />-315310-298231WORKSHEET NO. 10<br />NAME: ___________________________________DATE: _____________ <br />YEAR & SECTION: ________________________RATING: ___________<br />A.Identify the following.<br /> 7 __________<br /> × 2 __________<br /> 14 ___________<br />-404304555245<br />B.Get the product of the following.<br />1.32 x 25=6. 14 x 193=<br /> 2. 10 x10 = 7. 66 x 15=<br />3.25 x 68=8. 157 x 11=<br /> 4. 31 x1545= 9. 655 x 8=<br />5.27 x 17781=10. 856 x 18=<br />Lesson 11<br />PROPERTIES OF MULTIPLICATION<br />Objectives<br /> After this lesson, the students are expected to:<br /><ul><li>review the different properties of multiplication;
87. 87. develop the knowledge in the properties of multiplication;
88. 88. apply the properties of multiplication in solving problem.
89. 89. IDENTITY PROPERTY The product of the 1 and any number a is a, that is, 1 x a = a for any number.</li></ul>Example:<br />21 x a = 2127 x a =2731 x a = 31<br />11 x a = 115 x a = 513 x a = 13<br />2. ZERO PROPERTY The product of 0 and any number a is 0, that is a x 0 = 0 for any number a.<br />Example:<br />0 x 87 = 00 x 98 = 015 x 0 = 0<br />45 x 0 = 014 x 0 = 058 x 0 = 0<br />3. COMMUTATIVE PROPERTYChanging the order of the factors does not change the product, that is,a x b = b x a for any number of a and b.PROPERTY<br />Example:<br />7 x 4 = 28 = 4 x 75 x 12 = 60 = 12 x 5<br />5 x 6 = 30 = 6 x 54 x 11 = 44 = 11 x 4<br />4. ASSOCIATIVE PROPERTY Changing the grouping of the factors does not affect the product, that is, a x (b x c) = (a x b) x c for any number of a, b, and c.<br />Example:<br />(7 x 4) x 5 = 140 = 7 x (4 x 5)<br />(4 x 6) x 8 = 192 = 4 x (6 x 8)<br />5. DISTRIBUTIVE PROPERTY If one factor is a sum of two numbers, multiply the addends to the multiplier before adding will not change the answer, that is a x (b + c) = (a x b) + (a x c).<br />Example:<br />5 x (6 + 7) = 30 + 35 = 65<br />6 x (7 + 9) = 42 + 54 = 9<br />-580292-231531WORKSHEET NO. 11<br />NAME: ___________________________________DATE: _____________ <br />YEAR & SECTION: ________________________RATING: ___________<br /><ul><li>-91440163830Fill on the blank and identify the property of each.</li></ul>1. 6 x 7 = __ x 66. (7 x __) + (__ x 6) = 7 x (3 +6)<br />2. 5 x 0 = __7. 27 x __ = 27<br />3. 8 x 1 __8. 8 x __ = 0<br />-4323080736604. (4 x 5) x 7 = 4 x (__ x 7)9. 6 x (3 x 4) = (6 x __) x 4<br />5. 8 x (2 + __) = (8 x 2) + (8 x __)10. 4 x 9 =__ x 4<br />B.Fill the missing number. Use the property of multiplication to get product<br />.<br />1. (8 x 4) + (8 x 6) = 8 x (__ + 6) = ______<br />2. (7 x 5) x 2 = 7 x (__ x __) = ______<br />3. (9 x 5) = 25 x__ = _______<br />4.8 x 0 = ______<br />5. (12 x 3) + (12 x 7) = _____<br />Lesson 12<br />MASTERING SKILLS IN MULTIPLYING WHOLE NUMBERS<br />Objectives <br />After this lesson, the students are expected to:<br /><ul><li>multiply whole numbers in easy way;
90. 90. develop the speed in multiplying whole numbers;
91. 91. perform multiplication correctly.</li></ul>Since multiplication is a shortcut for repeated addition, we can get the product of a two factors without the use of a two factors without the use of repeated addition. Take a look at the example:<br />11 Carries<br /> 2 4<br />3467100168910 3 5 8Multiplicand<br />x 2 5Multiplier<br /> 1 7 9 01st partial product<br />+7 1 62nd partial product<br /> 8 9 50Product<br />How to use multiplication table?<br />In mastering the multiplication operation, knowing how to multiply using multiplication table helps you to become fluent in multiplying numbers.<br />2522482238497<br />19050-4204<br />Multiplication Table<br />X012345678910111200000000000000101234567891011122024681012141618202224303691215182124273033364048121620242832364044485051015202530354045505560606121824303642485460667270714212835424956637077848081624324048566472808896909182736455463728190991081001020304050607080901001101201101122334455667788991101211321201224364860728496108120132144<br /> Example: <br />Remembering 9's<br />What's 9 x 7? Use the 9-method! Hold out all 10 fingers, and lower the 7th finger. There are 6 fingers to the left and 3 fingers on the right.The answer is 6.<br />-419100-65033WORKSHEET NO. 12<br />NAME: ___________________________________DATE: _____________ <br />YEAR & SECTION: ________________________RATING: ___________<br />6096015875<br /><ul><li> Find the product of the following. (You may use a multiplication table if you want).</li></ul>WRITE YOUR SOLUTION HERE:1. 59x 8 =________________<br />2. 48 x 3 =_______________<br />-41675054229103. 31 x 6 =_______________<br />4. 27 x 21 =______________<br />5. 11 x 15 =_______________<br />6. 21 x 27 =_______________<br />7. 14 x 17 =_______________<br />8. 8 x 32 = ________________<br />9. 78 x 45 =_______________<br />10. 11 x 23 =_____________<br />Lesson 13<br />“THE 99 MULTIPLIER” SHORTCUT IN MULTIPLYING WHOLE NUMBER<br />Objectives<br />After this lesson, the students are expected to:<br /><ul><li>multiply whole numbers mentally;
92. 92. appreciate exploring the world of multiplication;
93. 93. appreciate the multiplication operation.</li></ul>This lesson is concern in one of the easy ways in getting the product in multiplication. If the digits in the multiplier (or even multiplicand) are all 9 such as 9, 99, 999…, annex to the multiplicand as many zeros as there are 9’s in the multiplier and from it, subtract the multiplicand.<br />3944664154348Here some examples:<br />999×364= 364 000-364= 369 636 Why?<br />2834×99= 283 400-2834= 280566 Why? <br /><ul><li>31×999= 31 000-31= 30 969 Why? </li></ul>-551793-496614WORSHEET NO. 13<br />NAME: ___________________________________DATE: _____________ <br />YEAR & SECTION: ________________________RATING: ___________<br /><ul><li>Multiply the following using the “99 multiplier” method.
94. 94. 99×99=________________________
95. 95. 33×99=________________________
96. 96. 47x99=________________________
97. 97. 65x9=_________________________
98. 98. 21x99=________________________
99. 99. 81x99=________________________
100. 100. 72x999=_______________________
101. 101. -426497817176856x9999=______________________
102. 102. 34x9=_________________________
103. 103. 8x9=__________________________
104. 104. -341135346</li></ul>B. Solve the following<br /><ul><li>Find the product of 873 and 9999=________________________
105. 105. Find the product of 132 and 999=_________________________
106. 106. Find the product of 665 and 99=__________________________
107. 107. Find the product of 670 and 9=___________________________
108. 108. Find the product of 154 and 9999=________________________
109. 109. Find the product of 1063 and 999=________________________
110. 110. Find the product of 948 and 9999=________________________
111. 111. Find the product of 323 and 99=__________________________
112. 112. Find the product of 493 and 999=_________________________
113. 113. Find the product of 490 and 99=__________________________</li></ul>Lesson 14<br />“THE POWER OF TEN” MULTIPLICATION<br />Objectives<br />After this lesson, the students are expected to:<br /><ul><li>specializing skills in multiplication;
114. 114. perform multiplication easily;
115. 115. develop the speed in multiplying numbers.</li></ul>When the factors are is in the power of ten such as 10, 100, 1000, 10 000, 100 000 and so on and so fort, just multiply the digit that is form 1 to 9 and add the number of zeros. <br />Example:<br />31 x 100 = 3 100<br />270 x 10 = 2 700<br />15 000 x 100 = 1 500 000<br />When the factors are end in both zero, multiply the significant number and used the number of zeros in both factors to the product.<br />Example:2 380 x 40 = 95 2002 380 x 400 = 952 000<br />-599090-405305WORSHEET NO. 14<br />NAME: ___________________________________DATE: _____________ <br />YEAR & SECTION: ________________________RATING: ___________<br />85725217170<br />A.Based to the power of ten, multiply the following. <br />1. 100 x 320 =_________6. 75 x 100 =_________<br />2. 10 x 27 = __________7. 56 x 10 = __________<br />3. 100 x 414 =________8. 38 x 100 =__________<br />4. 176 x 100 =________9. 68 x 10 000 =________<br />-4314825-12695. 39 x 1 000 = ________10. 59 x 1 000 =________<br />85725224790<br />B.Find the product of the following.<br />1. 2 080 x 30 =____________ 6. 720 x 40 =____________<br />2. 3 150 x 60 =____________7. 7 230 x 50 =___________<br />3. 1 470 x 20 =____________8. 2 030 x 60=___________<br />4. 30 x 90 =____________ 9. 456 x 70=____________<br />5. 30 x 80 =____________10. 86 x 690=____________<br />Lesson 15<br />PROBLEM SOLVING INVOLVING MULTIPLICATION<br />Objectives <br />After this lesson, the students are expected to:<br /><ul><li>describe how to use the multiplication in problem solving;
116. 116. follow the steps correctly in multiplication of word problem;
118. 118. -4210050929006_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________.
119. 119. In one basketball stadium, a section contains 32 rows and each row contains 25 seats. If the stadium has 4 sections, how many seats it has?
120. 120. _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________.
121. 121. Season tickets for 45 home games cost P789. Single tickets cost P15 each. How much more does a season ticket cost than individual tickets bought of each game?
122. 122. _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________.
123. 123. -495300-228600A store has 124 boxes of pencils with 144 pencils in each box. How many pencils they have?
124. 124. _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________.
125. 125. An eagle flies 70 miles per hour. How far can an eagle fly in 15 hours?
126. 126. _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________.
127. 127. -4210050181611Mandy can laid 65 bricks in 30 minutes. How many bricks can Mandy lay in 5 hours?
128. 128. _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________.
129. 129. Sound waves travels approximately 1 100 ft. per sec. in air. How far will the sound waves travel in 3 hours?
130. 130. _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________.
131. 131. -476250-533400If a worker can make 357 bolts in one hour, how many bolts he can make in eight hours?
132. 132. _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________.
133. 133. If 1cubic yard of concrete costs P55.00, how much would 13cubic yards cost?
134. 134. _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________.
135. 135. -4181475234003One cassette seller sold 650 cassettes. The cassettes cost her P15.00 each and sold them for P29.00 each. What was her total profit?