MATH 4

IV

ELEMENTARY MATHEMATICS MODULES Grade 4 Title of Module No. of Pages1. Numbers from 100 001 through Millions/Billions 42. Rounding Numbers to the Nearest Hundreds, Thousands, Millions and 6 Billions 53. Addition of 6 or More Digit Numbers Without Regrouping 44. Addition of Numbers Through Billions With Regrouping 55. Estimating Sums 66. Word Problems Involving Addition of Whole Numbers 47. Subtraction of Numbers Without Regrouping 58. Subtraction of Whole Numbers with Continuous or Non-Continuous 4 Zeros with Regrouping 49. Estimating Differences10. Two-Step Word Problems Involving Addition and Subtraction 3 4 Including Money11. Zero and Identity Property of Multiplication 412. Multiplication of 5 or More Digit Factors Having 1 to 3 Zeros in Both 5 Factors Without Regrouping13. Multiplication of 5 or More Digit Factors Having 1 to 3 Zeros in Both 4 6 Factors with Regrouping14. Multiplication of 5 or More Digit Factors by Multiples of 10, 100 and 1 4 4 000 415. Estimating Products 416. Two-Step Word Problems Involving Multiplication and Addition or 5 4 Subtraction 517. Division of 5 or More Digit Numbers Without Remainder18. Division of 5 or More Digit Numbers With Remainder 419. Division of Large Numbers with Zero Difficulty 520. Division of Whole Numbers by 10, 100 and 1 000 521. Estimating Quotients 522. One-Step Word Problems Involving Division 423. Two to Three-Step Word Problems Involving Division Including 5 Money 424. Common Fractions as Decimals25. Place Value of Decimals 426. Expressing/Writing Money as Pesos and Centavos27. Rounding Decimals to the Nearest Tenths/Hundredths/ Thousandths 428. Addition of Decimal Numbers Through Hundredths Without and With Regrouping29. Addition of Mixed Decimals Without or With Regrouping30. Subtraction of Decimals Through Hundredths Without and With Regrouping31. Subtraction of Mixed Decimals Through Hundredths Without and With Regrouping32. Analyzing One-Step Word Problems Involving Addition or Subtraction1C:\Users\User\Desktop\MATHEMATICS-2015-09-14\MATHEMATICS\Grade 4\00 - List of Math 4 SIMs.doc Printed: 9/16/2015 10:37 AM [User]

Title of Module No. of Pages of Decimals33. Word Problems Involving Either Addition or Subtraction of Decimals 434. Analyzing Two-Step Word Problems Involving Addition and 5 Subtraction of Decimals35. Similar and Dissimilar Fractions 536. Ordering Similar Fractions 637. Changing Improper to Mixed Numbers and Vice Versa 838. Changing One (1) to Fraction Form 639. Addition of Similar Fractions 640. Addition of Fractions and Whole Numbers 841. Subtraction of Similar Fractions 542. Visualization of Multiplication of Fractions 643. Congruent Angles 544. Kinds of Plane Figures 545. Perimeter of a Square or a Rectangle 546. Parts of a Triangle/Quadrilateral 547. Units of Measure for Area of Parallelogram/Triangle 448. Area of Parallelogram 549. Area of Triangle 550. Bar Graph 551. Finding the Average of Data in a Bar Graph 62C:\Users\User\Desktop\MATHEMATICS-2015-09-14\MATHEMATICS\Grade 4\00 - List of Math 4 SIMs.doc Printed: 9/16/2015 10:37 AM [User]

GRADE IVNUMBERS FROM 100 001 THROUGH MILLIONS/BILLIONS Objective: Identify numbers from 100 001 through millions/billions.ReviewPick out all the numbers less than 100 000 from the set of numbers posted on the houses and writethem on your paper. A B C 45 489 634 312 123 4218 432 10 100 7 634 99 999 138 422 24 3826 789 436 132 80 000 436 849 89 432 94 389Check your answers using the key to correction. If your score is 8-10 you can now proceedto this module. If you get 7 correct answers or below, review first the past lesson. Study and Learn A. Read the news item.Traffic in Metro Manila is heavy because nearly one-half of the 2 904 487 vehicles in thecountry are registered here. 1. In the news item above, the given number is 2 904 487. 2. The number is read as 2 million, 904 thousand, 487. 3. There are seven digits in the number. 1

B. Study the place value chart with numbers in the thousands, millions, and billions. PERIODS Billions Millions Thousands UnitsHTO H T O H TO HTO691 2 68 413 528 7 2 1 3 62 400 3 5 0 7 281. How many digits are there in one thousand? one million? one billion? (4, 7 & 10 digits)2. How many digits are there in ten thousand, ten million, and ten billion? (5, 8 & 11 digits)3. How many digits are there in hundred thousand? hundred million? hundred billion? (6, 9 & 12 digits)4. How many periods are there in thousands? in millions? in billions? (2, 3 & 4 periods)5. How many place values are there in every period? (3 place values)6. What are they? (ones, tens, and thousands)Remember, we identify numerals by the number of their digits.Try TheseA. Put a () if the highest place value of the number is in thousands period, a cross (x) if in millions period and (0) if in billions period. Number 1 is done for you._______ 1) 6 386 796 ______ 6) 76 998 289 162_______ 2) 24 412 ______ 7) 104 267 211_______ 3) 214 610 241 103 ______ 8) 1 246 211 426_______ 4) 107 901 ______ 9) 20 412 719_______ 5) 1 263 ______10) 9 606 2

B. Identify the place value of the underlined digits of the number 374 905 412 663. 1) 1 _____ 2) 5 _____ 3) 9 _____ 4) 4 _____ 5) 7 _____ C. Write T if the left most period of the number is in thousands, M if in millions, and B if in billions. Number 1 is done for you. __M__ 1) 2 461 245 _____ 2) 305 112 461 272 _____ 3) 1 002 _____ 4) 26 412 313 3 721 _____ 5) 10 413 315 Wrap UpHow do you identify a number if it is in thousands, millions or billions? Thousands have 2 periods with 4, 5 or 6 digits. Millions have 3 periods with 7, 8 or 9 digits. Billions have 4 periods with 10, 11 or 12 digits. On Your Own A. Write T if the number is in thousands, M if in millions, B if in billions: _____ 1. 6 014 597 _____ 2. 145 793 001 _____ 3. 206 010 371 148 _____ 4. 52 758 137 _____ 5. 425 010 3

B. Classify the numbers below according to the period of the left-most digit by placing them under thousands, millions, or billions.15 086 912 5 427 981 643 212 002 35 42117 196 741 014 7 159 082 544 889 120 741 01964 185 451 9 273 050 357 296 243 8 095 403 012Billions Millions Thousands1. 1. 1.2. 2. 2.3. 3. 3.4. 4. 4.Check your answers with the answer key. 14-17 - Excellent! You may now proceed to the next lesson. 10-13 - You need to review the processes missed. 0-9 - You need to repeat the whole process. Ask your teacher or elder to help you. 4

GRADE IV ROUDNING OFF NUMBERS TO THE NEAREST HUNDREDS, THOUSANDS, MILLIONS, AND BILLIONSObjective: Round off numbers to the nearest hundreds, thousands, millions, and billions. ReviewA. Do you still remember how to round off numbers to the nearest tens? Try these numbers:______ 1) 385 ______ 6) 1 342______ 2) 349 ______ 7) 26 481______ 3) 42 ______ 8) 14 826______ 4) 63 ______ 9) 121 675______ 5) 17 ______ 10) 243 292B. Fill in the blanks to complete the following sentences.1. Janet harvested 276 mangoes in her farm. Two hundred seventy six mangoes will become ______ if she rounded the number to the nearest tens.2. When the population of the barangay is rounded to nearest tens 2 663 becomes ______.Please be reminded that when rounding numbers to the nearest ten, you considerthe digit at the right of the tens place. Check your answers with the answer key. If your score is 10 to 12, you maycontinue with this lesson. If you got 9 or below, review your past lessons. 1

Study and LearnRead the information that follows: There are 371 582 residents in the City of Makati and 256 454 residents in Pasay City who are benefiting from the Clean and Green Program of the government. Look at the table below and observe how the numbers 371 582 and 256 434 have been rounded off.1. Which cities benefit from the Clean and Green Program?2. What do you think are the benefits enjoyed by these cities?3. If you were the mayors of these cities, whom would you ask to join the program?Number Nearest Nearest Nearest Ten Nearest Hundreds Thousands Thousands Hundred371 582 Thousands256 434 371 600 372 000 370 000 400 000 256 400 256 000 260 000 300 000 The table above tells us how the number is rounded to the nearest hundreds,thousands, ten thousands, and hundred thousands. In doing this, we shouldremember also the periods and its components such as the units, tens andhundreds.Let us examine closely how the numbers are rounded off.371 582 - Nearest hundreds - Identify the hundreds digit – (5) - Look at the digit to the right of the hundreds digit – (8) - When it is 5 or up – round up 5 becomes 6 and 82 becomes 00so 371 582 is 371 600 rounded to nearest hundreds.Now, let us see how it is rounded to nearest thousands. 2

371 582 - Identify the thousands digit – (1) The digit to the right is 5 which means we are going to round it up. So we add 1 to 1 (thousands digit) and change 582 to 3 zeros.So 371 582 is 372 000 rounded off to nearest thousands.Can you now tell the process for each numeral?The same procedure is followed if rounding up numbers in millions and billions.Let's study these numbers.Number Nearest Millions Nearest Ten Nearest Hundred Millions Millions245 291 426 245 000 000 250 000 000 200 000 000 Nearest Billions Nearest Ten Nearest Hundred Billions Billions189 461 872 014 189 000 000 000 190 000 000 000 200 000 000 000 Try TheseA. Round off to the nearest thousands. 1) 6 520 2) 7 614 3) 9 949B. Round off to the nearest ten thousands. 1) 24 305 2) 82 641 3) 783 345 3

C. Round off to the nearest hundred thousands. 1) 550 012 2) 26 023 173 3) 8 391 247D. Round off to the nearest millions. 1) 5 382 641 2) 61 782 349 3) 123 467 903E. Round off to the nearest ten millions. 1) 79 499 086 2) 350 246 891 3) 123 467 903F. Round off to the nearest hundred millions. 1) 472 135 812 2) 784 196 003 3) 25 576 408 113G. Round off to the nearest billions. 1) 5 362 401 315 2) 50 784 196 003 3) 350 784 186 214H. Round off to the nearest ten billions. 1) 66 275 100 348 2) 73 904 352 688 3) 176 274 143 019I. Round off to the nearest hundred billions. 1) 173 925 006 498 2) 812 047 344 630 3) 580 619 720 253 4

Wrap Up When rounding off numbers, consider the digit in the place you arerounding, then: a. increase this digit by 1 if the next digit to the right is 5 or more. b. leave this digit the same if the next digit to the right is less than 5. The next numbers are changed to zeros.On Your OwnA. Round off to the nearest. Thousands Ten Thousands Hundred Thousands1) 439 1572) 524 3613) 817 429B. Round off to the nearest: Millions Ten Millions Hundred Millions1) 562 041 3752) 781 492 0513) 275 642 000 5

C. Round off to the nearest: Billions Ten Billions Hundred Billions1) 302 372 543 9052) 409 157 983 2193) 856 492 601 031Check your answers with the answer key. If you get….10-12 - Excellent! You may now proceed to the next lesson.6-9 -0-5 - You need to review the processes you missed. You need to repeat the whole process. Ask your teacher or elder to help you. 6

GRADE IV ADDITION OF 6 OR MORE DIGIT NUMBERS WITHOUT REGROUPINGObjective: Add 6 or more digit numbers with 4 or more addends with sumsthrough billions without regrouping.REVIEWA. Write the place value and value of the underlined digit.Sample: 3 246 Thousands 3 0001) 6 579 ___________ ______2) 29 083 ___________ ______3) 50 241 ___________ ______4) 381 564 ___________ ______5) 937 810 ___________ ______B. Add the following numbers.1) 5 276 2) 8 342 3) 3 543 4) 2 607 5) 4 059 + 521 + 631 + 6 215 + 3 182 + 4 720 STUDY AND LEARNDo you have a vegetable garden at home?What kinds of vegetables are planted in your garden?Is it good to have a vegetable garden at home? Why?What can you get from your vegetable garden? 1

Below is the sales of the Happy Food Corporation. Read each data, then answer thequestion below. Happy Food Corporation had the following sales for four consecutive weeks: a. first week - 123,224 b. second week - 112,312 c. third week - 121,212 d. fourth week - 320,141 What was the total sale for the four weeks?How will you find the answer? Add the sales.The mathematical sentence is:123 224 + 112 312 + 121 212 + 320 141 = nWhere n is the total sales for four weeksTo find the sum, first you have to write the numbers in column. Follow the stepsby looking at the table below. Let's do it!Add the ones Add the tens Add the Add the Add the ten Add the hundreds thousands thousands hundred thousands 123 224 123 224 123 224 123 224 123 224 112 312 112 312 112 312 112 312 112 312 123 224 121 212 121 212 121 212 121 212 121 212 112 312+ 320 141 + 320 141 + 320 141 + 320 141 + 320 141 121 212 76 889 + 320 141 9 89 889 6 889 676 889You can also check your answer by adding upward. 123 224 112 312 121 212 + 320 141 676 889The total sales for four weeks is 676,889. 2

TRY THESEA. Do the exercises in your notebook as fast as you can with accuracy.1) 1 041 002 2) 2 152 101 3) 3 502 101 3 211 223 1 212 212 1 023 124 3 112 212 4 111 413 2 151 123+ 2 112 211 + 1 012 222 + 3 121 4214) 241 131 5) 123 021 310 213 123 142 402 212 202 412+ 124 213 + 341 424B. Do another exercise. Write them in columns then add. 1) 410 320 + 102 112 + 201 021 + 104 213 2) 240 120 + 111 202 + 213 122 + 101 121 3) 121 202 + 212 120 + 421 013 + 101 121 4) 110 221 + 121 214 + 312 212 + 101 241 5) 214 111 + 1 204 014 + 4 100 521 + 1 012 011C. Read and solve the story problem.1. Mr. Billy Arellano, a progressive coconut planter, wants to keep an accurate record of his harvest in four quarters. For the first quarter he harvested 113 212, second quarter, 310 111, third quarter, 211 222 and for the fourth quarter, 112 312. What was the total number of coconuts he had harvested in the four quarters? What are you going to do? You have to write the given numbers in columns then add. 3

WRAP UPHow do we add large numbers? In adding large numbers, write the addends in column, start adding the digits in the ones place, then the tens place, the hundreds place and so on. Continue up to the last digit. Write the sum under each column.ON YOUR OWNA. Get your paper. Copy them correctly and find the sum. Check your answer by adding upward.1) 3 421 000 2) 2 121 121 3) 3 211 112 4 252 341 1 102 123 21 121 213 1 112 322 + 1 113 122 32 222 312 3 302 122 + 42 302 122 + 2 242 223B. Write in columns then add.1) 320 112 + 210 312 + 121 221 + 220 2232) 2 221 000 + 3 242 231 + 2 202 223 + 1 212 2033) 4 251 112 + 2 213 123 + 1 231 321 + 40 302 140C. Solve the following. 1) Put together 226 114, 331 021, 110 223 and 220 331. 2) A number 122 423 added to 9 324 232 gives a result of ___________. What is the number? 4

GRADE IV ADDITION OF NUMBERS THROUGH BILLIONS WITH REGROUPINGObjective: Add 6 or more digit numbers with 4 or more addends with regrouping with sums through billions. REVIEWFind the sum of the following. 116 320 3) 110 235 331 241 142 420 1) 201 621 2) 2 241 227 234 232 123 203 + 4 111 211 1 301 101 142 142 + 4 212 010 + 101 032STUDY AND LEARNNow, you will learn how to add numbers with 4 or more addends. It’s not difficult.Below are the monthly sales of Me-anne’s Drug Store. Month SalesJanuary 105,127February 103,243 March 107,365 104,248 April 112,364 May Which month has the least sales? February Which month has the greatest sales? May What is the total sale for 5 months?Let’s solve it. Here’s how 1

1. Align the addends in columns. Add 2. Add the digits in the tens place first the digits in the ones place together with the regrouped number. 2 22 105,127 105,127 103,243 103,243 107,365 107,365 104,248 104,248 + 112,364 + 112,364 7 47 The sum of the digits in ones place is Regroup 2 to the next place value. 27, regroup 2 to the tens place. 4. Add the thousands with the regrouped3. Add the digits in the hundreds place number. with the regrouped number. 21 2 2 1 22 105,127 105,127 103,243 103,243 107,365 107,365 104,248 104,248 + 112,364 + 112,364 2,347 347 Regroup 2 to the ten thousands place. Regroup 1 to the thousands place. 6. Add the hundred thousands place.5. Add the digits in the ten thousands place with the regrouped number. 21 2 2 21 2 2 105,127 103,243 105,127 107,365 103,243 104,248 107,365 + 112,364 104,248 532,347 + 112,364 32,347The total sales for 5 months is 532,347. 2

Study these examples: 2) 1 1 1 1 2 206 143 1) 1 1 2 1 1 262 157 226 182 304 284 12 301 614 123 206 + 21 231 347 + 231 347 885 019 34 001 261TRY THESELet’s see if you can add the following correctly.1) 601 124 2) 723 480 713 365 431 643 826 123 634 478 24 267 147 + 12 173 364 + 225 214 WRAP UPIn adding numbers with regrouping: - align the digits in columns. - start adding the digits in the ones place. - regroup to the next higher place value if the sum in a certain column is more than 9. 3

ON YOUR OWNA. Find the sum. 2) 243 263 3) 6 125 328 32 144 421 7 210 545 1) 142 347 16 123 261 379 004 246 102 534 263 101 263 + 42 132 103 + 14 811 409 + 200 121B. Arrange the following in columns then solve for the sum. 4) 12 620 147 + 10 364 172 + 3 647 261 + 1 137 481 = __________ 5) 348 846 + 5 319 263 + 747 368 + 45 306 409 + 6 291 008 = ___________ 4

GRADE IV ESTIMATING SUMSObjective: Estimate the sum of 6 or more digit addends.REVIEWDo you still remember your basic addition facts? Do as fast as you can.1) 9 + 7 = 2) 9 + 4 = 3) 4 + 7 = 4) 9 + 6 =5) 8 + 3 = 6) 8 + 6 = 7) 6 + 5 = 8) 8 + 8 =9) 7 + 5 = 10) 7 + 9 = 11) 8 + 5 = 12) 7 + 9 =Try to do this. Round off the numbers to the nearest 10 000 or 100 000.Numbers1) 62 126 ____________2) 549 114 ____________3) 549 343 ____________4) 976 249 ____________5) 73 837 ____________ STUDY AND LEARN- Have you been to a coconut plantation?- What can you see in a coconut plantation?- What do you think a farmer does to have a good quality harvest?- Do you think it is necessary to take care of our coconut plants in order to get a good harvest?- If you have some coconut plants, what are you going to do to make them more productive? 1

Read the problem so you will be able to answer the questions: Mang Dionisio has a coconut plantation. He usually works in the farm thewhole day. He harvested 11 389 coconuts on the first month and 14 481 coconutson the sixth month. About how many coconuts did he harvest? What kind of a farmer is Mang Dionisio? What benefits could we get if we workhard?Let’s analyze and solve the problem. 1. What are the given facts? 11 389 and 14 481 2. What is asked in the problem? estimated total number of coconuts 3. What is the operation needed? addition 4. What is the number sentence? 11 389 + 14 481 5. What do you think is the estimated sum?Now, let’s find out how to estimate the sum.1. Using the front-end technique 211 389 → 200 000 Round the addends using only the left most digit of+ 314 481 → + 300 000 the numbers then find the sum. 500 0002. Estimate the sum to the highest possible place value 211 389 → 200 000 →Round the addends to the nearest ten thousands + 314 481 → +300 000 (since this is the highest place value) then add the 500 000 rounded numbers to get the estimated sum 2

3. Estimate the sum to the nearest given place valueEx. Nearest thousands 211 389 → 211 000 Round the addends to the nearest thousands then+ 314 481 → + 314 000 find the sum. 525 000Let us find the actual sum and compare it with the three estimates. 211 389 First Estimate Second Estimate Third Estimate+314 481526 870 500 000 500 000 525 000Which estimate is closer to the actual sum? Why?TRY THESEA. Estimate the sum of each to the highest place value.1) 325 635 2) 136 403 3) 418 476 4) 611 175 +646 780 + 253 296 +120 581 +225 803B. Using the front-end technique, find the estimated sum of the following.1) 762 304 2) 631 918 3) 154 128 4) 178 675 +134 503 + 167 214 +318 125 +369 512 3

WRAP UPWhat are the steps involved in estimating sums of 6 or more digit addends?How do you estimate? How would you come up with a good estimate? There are different ways of estimating the sum. One way is to round off theaddends to the nearest highest place value then add. A good estimate is a little less or more than the exact answer.On Your OwnA. Estimate the sum to the nearest hundreds then find the exact sum.1) 256 436 2) 456 412 3) 874 825 4) 463 729 5) 379 405 + 190 845 +141 708 +119 567 +123 878 + 845 563B. Estimate the sum to the nearest ten thousand and find the exact sum. Use your paper.1) 135 753 2) 824 435 275 931 633 663 + 377 452 + 355 228Actual Sum Estimated Sum Actual Sum Estimated Sum3) 232 241 4) 563 283 343 254 434 142 + 636 203 + 158 215Actual Sum Estimated Sum Actual Sum Estimated Sum 4

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GRADE IV WORD PROBLEMS INVOLVING ADDITION OF WHOLE NUMBERS Objective: Solve word problems involving addition of whole numbers. REVIEWA. Add the following in your notebook. 1) 3 241 2) 5 165 3) 8 341 4) 6 134 +6 527 +8 723 +4 256 +3 522B. Find the missing digits. Use your notebook. 1) 1 312 2) 3 1 3) 134 4) 4 231 + 47 + 03 + 32 + 45C. Arrange the numbers in columns and add. 1) 5 231, 3 145, 8 611 2) 14 325, 51 210, 43 051, 30 102 STUDY AND LEARN Some word problems are provided for you to read and understand the lesson.Take note of the different steps in solving problems.Problem 1 Aga and Harold gathered shells for their project in science. Aga collected 182 shells. Harold collected 245 shells. How many shells did they collect in all? 1

Here’s how we solve the problem: Understand the information by reading the problem carefully. What is asked? Total shells they collected What numbers are given in the problem? 182 and 245 What are these numbers? They are the numbers of shells. What words give the clue to the operation we will use? In all What is the operation to be used? Addition What is the number sentence? 182 + 245 = n How will you do the operation? 1 182 + 242 427 What is the answer? They gathered 427 shells in all.Problem 2 Katiku Elementary School has 645 Grade IV pupils, 523 Grade V and 861 Grade VI pupils. How many pupils in all does the school have from Grades IV to VI? 2

Follow the steps:What is asked?Total number of pupils from Grade IV to V.What numbers are given?645, 523 and 861What are these numbers?They are the numbers of pupilsWhat words give the clue to the operation? In allWhat is the operation to be used? AdditionWrite the number sentence.645 + 523 + 861 = nHow will you do the operation?645 or 645 + 523 + 861 = 2 029523+8612 029What is the answer? n = 2 029There are 2,029 pupils in all. 3

TRY THESENow, solve the following problems in your notebook.1. During harvest time four farmers sold their crops to a buyer. Mr. Santos’crops cost 6 850, for Mr. Salamanca, they cost 9 850. The crops of Mr.Torres cost 10 250 and for Mr. Arellano, they cost 9 565. How much was thetotal cost of the crops of the four farmers?1. What is asked? _____________________2. What are given? ____________________3. What words give clue to the operation? ____________________4. What is the operation to be used? _______________________5. What is the number sentence? _____________________6. How will you do the operation? _____________________ _________ _________ _________7. What is the answer? n=______________________8. Check the answer.2. Mang Abe gathered 2 560 coconuts on the first week and 3 125 coconuts on thesecond week. How many coconuts did he gather in 2 weeks?What is asked? ________________________1. What are given? ________________________2. What is the word clue? _______________________3. What is the operation to be used? _______________________4. What is the number sentence? ________________________ 4

5. How will you do the operation? _________________________________+ _________ n = ________________6. What is the answer? n = _____________________ WRAP UPWhat have you learned today?How do you solve word problems?What are the steps involved? 1. Read and understand the problem carefully. 2. Find out what is asked in the problem. 3. List down the important facts. 4. Decide on the operations to be used. 5. Write the number or mathematical sentence. 6. Solve the problem. 7. Check if the answer is correct. ON YOUR OWNSolve by yourself. Show your solution and answers. Use your notebook. 1. Aling Norma sold 2 125 fresh eggs and 1 226 salted eggs in one week. How many eggs did Aling Norma sell? 2. During scouting month San Pablo Elementary School had a benefit show for three days. On the first day, 1 526 tickets were sold, 1 232 on the second day, 1 135 on the third day. How many tickets were sold in all? 3. The mayor called for a meeting. There were 536 men and 257 women who attended the meeting. How many persons attended the meeting? 5

4. The pupils of Kalanawi Elementary School joined the fund-raising drive for the evacuees of the lahar victims of Pampanga. The Grade IV pupils were able to raise 11,220, Grade V - 13,454, and Grade VI - 1,525. How much was the total amount raised for the lahar victims?5. Mrs. Quibuyen’s salary for one month is spent on the following.Food 3,756Water Bills 250ElectricityTransportation 2,110 850How much was the total expenses of the Quibuyen’s family in one month? 6

GRADE IV SUBTRACTION OF WHOLE NUMBERS WITHOUT REGROUPINGObjective: Subtract 5 or more digit number from 6 or more digit numbers without regrouping.REVIEWA. Find the difference.1) 46 2) 573 3) 687 - 23 - 142 - 453 4) 1 039 5) 3 475 - 718 - 934B. Solve the following. 1. What is 45 less than the sum of 8 and 15? 2. Ricky picked 29 guavas. He gave 12 to his friends. How many guavas were left for him? Did you get all the items correctly? If not, review first the processes you missedbefore you proceed to this lesson. 1

STUDY AND LEARN Do you know how to subtract 5 or more digit numbers from 6 or more digit numberswithout regrouping? If you don't, here's how. Just follow the steps.1. 7 9 3 4 8 6 Start from the ones place. - 61 154 Subtract 4 from 6 the difference is 2. 2 Subtract 5 tens from 8 tens. The difference2. 7 9 3 4 8 6 is 3 tens. - 61 154 32 Subtract 1 hundred from 4 hundreds The difference is 3 hundreds.3. 7 9 3 4 8 6 - 61 154 3324. 7 9 3 4 8 6 Subtract 1 thousand from 3 thousands the - 61 154 difference is 2 thousands. 2 332 Subtract 6 ten thousands from 9 ten5. 7 9 3 4 8 6 thousands the difference is 3 ten - 61 154 thousands. 32 332 Then, bring down 7 since our subtrahend6. 7 9 3 4 8 6 is only up to ten thousands place. - 61 154 132 332 This is your final answer. 2

TRY THESEDo the following exercises to further understand the lesson.1) 253 579 2) 149 665- 20 165 - 17 4123) 284 764 4) 137 552 5) 357 416 - 153 311 - 123 431 - 216 213 WRAP UP To subtract 5 digit numbers from 6-digit numbers, start from the ones digitsfollowed by the tens, hundreds, thousands up to the last digit with the highestplace value. 3

ON YOUR OWNThis time you are ready to test how far you have learned the lesson.A. Subtract the following.1) 287 196 2) 279 654 3) 754 683 - 163 164 - 59 431 - 310 521B. Find the missing number.1) 49 5 8 3 7 2) 78 7 2 5 1 3) 8 9 3 5 2 6 - _7_ 2__ - _1 _ _ 3 _ - _7_ 1__ ------------------ ----------------- 1_4 _24 3_5121 ------------------ 621 412 4

GRADE IVSUBTRACTION OF WHOLE NUMBERS WITH CONTINUOUS OR NON-CONTINUOUS ZEROS WITH REGROUPING Objective: Subtract 5 or more digit numbers from 6 or more digit numbers with 3 continuous or non-continuous zeros in both the minuend and subtrahend with regrouping. REVIEWLet us see how well you have retained the previous lesson. Do what is asked of you to do.Remember this is your previous lesson.A. Subtract the numbers inside the rectangles from the number inside the oval. 1) - 593 8432) - 934 527 3) - 625 195 1 502 3624) - 861 289 5) - 758 732 1

STUDY AND LEARN The Red Cross is an organization which helps the poor people. During theRed Cross Week, one of the Divisions in NCR was given 121 000 tickets tosell for Save-a-Life Project. The Division was able to sell 96 032 tickets.How many tickets were not sold?Let us answer some questions about the problem.1. Who helps our poor countrymen?2. As a person, would you like to share in the fund raising campaign of the Red Cross? Why?Now, let's start solving the problem.121 000 - 96 032 = ntickets given tickets sold tickets not sold1. 121 000 There are three consecutive zeros - 96 032 in the minuend, so we regroup all the places starting from the left 0 10 most digit other than the zero.2. 121 000 - 96 032 1 10 103. 121 000 - 96 032 1 10 9 104. 121 000 - 96 032 2

1 1 0 9 9 10 Now, you can subtract.5. 121 000 Subtract 2 from 10 the difference is 8. - 96 032 Subtract 3 tens from 9 tens the 24 968 difference is 6 tens. Subtract 0 hundreds from 9 hundreds. The difference is 9 hundreds. Subtract 6 thousands from 10 thousands the difference is 4 thousands. Then subtract 9 ten thousands from 11 ten thousands the difference is 2 ten thousands. The final answer then is 24 968 tickets unsold.Can you now follow the steps? There are two consecutive zerosLet’s try another exercise. in the minuend, so we regroup at 3 places starting from the1. 150 087 thousands place. - 78 462 4 102. 150 087 - 78 462 4 9 10 Now you can subtract.3. 150 087 - 78 462 3

TRY THESEFind the difference. 2. 7 800 000 3. 3 930 615 - 1 156 000 - 1 013 400 1. 700 280 - 345 6134. 2 900 603 5. 1 485 000 - 1 569 241 - 810 207How do you find the exercises? Why?WRAP UP Always remember that to subtract numbers with regrouping and withcontinuous zeros in the minuend, always regroup all the places starting fromthe left most digit other than zero. 4

ON YOUR OWNA. Follow the arrows to be able to fill in the needed data in the box.93 150 000  14 281 600 = 78 868 400 176 105   = 3) 320 4001. 72 464 576 - 10 029 = 78 692 295 2.4 000 464 =B. Find the difference1) 900 034 2) 867 000 - 725 162 - 152 163C. Fill the box with the correct numeral. 9 00  0 0 15 90  0   2 9 9 9 5 0. 5

GRADE IV ESTIMATING DIFFERENCESObjective: Estimate the difference of two numbers with four to six digits. REVIEW Round off the numbers to the nearest ten thousands or hundred thousands. 1) 74 325 2) 25 936 3) 232 465 4) 31 247 5) 564 289 STUDY AND LEARNRead the problem.Answer the questions asked after. Mr. Cortez has 527 968 in a savings bank. He withdrew 35 500 for his children's expenses. How much money was left in the bank? Give an estimated answer. 1

Are you clarified with the problem? Answer these.1. Why did Mr. Cortez withdraw a portion of his money in the bank?2. Is it good to save money? Why?3. Where do you save your money? Why?Are you ready to solve the problem?Here's how. 527 968 - money in the bank- 35 500 - money withdrawnRound off 527 968 → 530 000 35 500 → - 40 000Subtract 530 000 - 40 000 estimated difference 490 000Find the exact difference 527 968 - 35 500 492 468Compare the estimated answer and the exact answer. Is it a good estimate? Which isbigger? Why? Will it always be the case? Why?Can you now work on some exercises on your own? Okay, try these.TRY THESEEstimate and find the exact difference.1) 54 798 → 2) 85 895 → - 42 931 → - 72 521 → 2

3) 349 258 → 4) 75 383 → - 121 123 → - 61 928 →5) 85 946 → - 63 296 → WRAP UP To estimate the difference of two numbers, round off both the minuend andthe subtrahend to the highest place value, then subtract. An estimated difference may be higher or lower than the exact answer.ON YOUR OWNA. Estimate the difference. Round the number to the nearest ten thousands.1) 28 263 2) 51 679 3) 67 595 - 12 917 - 37 059 - 49 1724) 78 543 5) 62 149 - 26 725 - 36 372 3

B. Estimate the difference and get the exact difference. Then compare.1) 31 578 2) 68 246 3) 91 513 - 18 246 - 51 365 - 35 1844) 47 365 5) 83 715 - 28 126 - 72 842 4

GRADE IV TWO-STEP WORD PROBLEMS INVOLVING ADDITION AND SUBTRACTION INCLUDING MONEYObjective: Solve 2-step word problems involving addition and subtraction including money.REVIEW Can you still recall the steps in solving word problems? What are they again? Try performing the indicated operations.1) (8 + 10) - 6 = n 2) 63 - (7 + 21) = n3) (28 - 16) + 15 = n 4) 17 + (81 - 35) = nSTUDY AND LEARNGet started by reading the problem. Lani deposited 1 350 in November and 3 175 in December. She withdrew 2 500 in January. How much money was left in the bank?How about answering first the following questions.  What did Lani do in November and December?  Is it good to save extra money in the bank? Why?  Would you like to have some savings in the bank? Why? 1

Let us now solve the problem. What is asked for in the problem? The money left in the bank. What are the given information? 1 350 savings in November 3 175 savings in December 2 500 withdrawal in January What is the hidden question? The total savings in 2 months What operations are we going to use? Addition and subtraction What is the number sentence? ( 1 350 + 3 175) - 2 500 = n What will be the final answer? ( 1 350 + 3 175) - 2 500 = n 4 525 - 2 500 = N 2 025 money left in the bank How would you check if your answer is correct? 2 025 + 2 500 = 4 525 if the total is equal to the minuend, the answer is correct. 2

TRY THESETry solving these problems to practice what you have learned.  Janice collected 215 shells while Riza has collected 263 shells. If they gave 158 shells to Estela, how many shells were left for Janice and Riza? Follow the guide questions in the \"Study and Learn\" portion.  Mr. Ignacio planned to buy a house and lot worth 12 486 875 and a car worth 755 930. If they have 9 638 570 in the bank, how much more money do they have to raise to be able to buy the house and lot and the car? 1. What is asked? 2. What are the information given? 3. What is the hidden question? 4. What are the operations to be used? 5. What is the number sentence? 6. What is the answer? WRAP UP Remember: To solve a 2 step word problem you have to look for the hidden question before you can answer the given question in the problem. 3

ON YOUR OWNRead and solve the following word problems.1. Rica's father earns 2 500 a week. Her mother earns 1 800. They spend 3 545 a week for food and other expenses. How much is their weekly savings?2. You have 200. How much change would you receive if you paid for all the items below.Ball pen and pencils 28.25Notebooks 75.75Crayons 24.80Pad paper 21.00Plastic Wrapper 12.00 4

GRADE IVZERO AND IDENTITY PROPERTY OF MULTIPLICATION Objectives: Show the zero property of multiplication. Show the identity property of multiplication.REVIEWGive the missing number.1) 4 x 2 = ____ 2) 6 x 7 = ____ 3) 9 x ____ = 27 2 x ____ = 8 ____ x 6 = 42 3 x ____ = 274) (3 x 2) x 4 = ____ 5) (2 x 5) x 3 = ____ 3 x (2 x 4) = ____ 2 x (5 x 3) = ____STUDY AND LEARN A B3 x0=0 3 x1=35 x0=0 5 x1=50 x7=0 1 x7=70 x9=0 1 x9=9Look at box A.By what common number are 3, 5, 7, and 9 multiplied? zero (0)What did you notice with their products? They all have the same product which iszero (0). 1