Mathematics Standard Four Addition PDF

FOR ONLINE USE ONLY DO NOT DUPLICATE Chapter Four Addition of numbers Introduction In Standard Three, you learnt the addition of numbers up to f...

FOR ONLINE USE ONLY DO NOT DUPLICATE Chapter Four Addition of numbers Introduction In Standard Three, you learnt the addition of numbers up to four digits. In this chapter, you will learn the addition of numbers up to LY five digits. This knowledge will help you in buying and selling goods, data collection, solving word problem and other daily life activities. N Exercise 1: Revision O Answer the following questions: 1. 9 327 + 432 = SE 2. 8 195 + 1 502 = 3. 5 362 + 235 = 4. 845 + 5101 = 5. 9 735 + 235 = 6. 9 645 + 312 = U 7. 4 798 + 2 455 = 8. 6 845 + 3 101 = 9. 53 436 + 112 = 10. 3 642 11. 2 534 12. 5 476 E + 1 235 + 2 115 + 3 465 N LI 13. 7 584 14. 9 124 15. 4 856 + 2 103 + 812 + 4 033 N O 16. 8 870 17. 3 741 18. 7 272 + 400 + 2 285 + 597 R FO 19. 4 486 20. 8 470 21. 2 464 + 4 398 + 804 + 5 758 39 Mathematics std 4 new version.indd 39 30/07/2021 08:26  FOR ONLINE USE ONLY DO NOT DUPLICATE 22. Mary bought 2 464 chicks in May 2018. In June 2018, she bought 5 758 chicks. How many chicks did Mary buy in two months? 23. Juma harvested 4 395 mangoes and 226 avocados. How many fruits did he harvest? Addition of numbers to get sums not exceeding LY 99 999 without regrouping When adding numbers, start to add the number in ones place, N followed by numbers in tens, hundreds, thousands and finally in ten thousands place. O Example 1 Add the following numbers horizontally: SE U 68 942 + 30 051 = Solution E 6 8 9 4 2 + 3 0 0 5 1 = 9 8 9 9 3 N LI N Steps O 1. Add ones; 2 + 1 = 3. Write 3 in the ones position. 2. Add tens; 4 + 5 = 9. Write 9 in the tens position. R 3. Add hundreds; 9 + 0 = 9. Write 9 in the hundreds position. 4. Add thousands; 8 + 0 = 8. Write 8 in the thousands position. FO 5. Add ten thousands; 6 + 3 = 9. Write 9 in the ten thousands position. Therefore, the answer is 98 993. 40 Mathematics std 4 new version.indd 40 30/07/2021 08:26  FOR ONLINE USE ONLY DO NOT DUPLICATE Example 2 Add the following numbers vertically: 45 248 + 20 231 65 479 LY Steps 1. Align the digits with the same place 45 248 N values. + 2 0 231 O 2. Add ones; 8 + 1 = 9. Write 9 in the ones 45 248 position. SE + 2 0 231 9 U 3. Add tens; 4 + 3 = 7. Write 7 in the tens 45 248 position. + 2 0 231 79 E 4. Add hundreds; 2 + 2 = 4. Write 4 in the 45 248 N hundreds position. + 2 0 231 LI 479 N 5. Add thousands; 5 + 0 = 5. Write 5 in the 45 248 thousands position. + 2 0 231 O 5 479 R 6. Add ten thousands; 4 + 2 = 6. Write 6 in 45 248 the ten thousands position. + 2 0 231 FO 6 5 479 Therefore, the answer is 65 479. 41 Mathematics std 4 new version.indd 41 30/07/2021 08:26  FOR ONLINE USE ONLY DO NOT DUPLICATE Exercise 2 Answer the following questions: 1. 54 351 + 12 045 = 2. 63 124 + 35 743 = 3. 34 570 + 55 018 = 4. 80 021 + 17 734 = LY 5. 54 622 + 44 245 = 6. 20 218 + 59 621 = 7. 83 023 + 5 524 = 8. 30 251 + 7 043 = N 9. 53 999 + 2 000 = 10. 73 443 + 62 36 = O 11. 65 114 12. 57 043 13. 62 159 + 23 075 + 12 744 + 20 810 SE U 14. 82 305 15. 59 261 16. 84 743 + 5 213 + 40 712 + 12 251 E N 17. 54 721 18. 71 236 19. 56 724 + 33 222 + 23 451 + 3 113 LI N 20. 75 072 21. 45 507 22. 56 706 O + 22 016 + 24 362 + 23 273 R 23. 72 456 24. 64 175 25. 43 067 FO + 15 240 + 24 621 + 30 412 42 Mathematics std 4 new version.indd 42 30/07/2021 08:26  FOR ONLINE USE ONLY DO NOT DUPLICATE Addition of numbers to get sums not exceeding 99999 by regrouping Example 1 Add the following numbers horizontally: 58 271 + 32 989 = LY Steps 1 1 1 1 5 8 2 7 1 + 3 2 9 8 9 = 9 1 2 6 0 N O Steps SE 1. Add ones; 1 + 9 = 10. Write 0 in the ones position and U regroup 10 ones into 1 group of tens. Add 1 group of tens to the tens place. E 2. Add tens; 1 + 7 + 8 = 16. Write 6 in the tens place and regroup 10 tens into 1 group of hundreds. Add 1 group of N hundreds to the hundreds place. LI 3. Add hundreds; 1 + 2 + 9 = 12. Write 2 in the hundreds place and regroup 10 hundreds into 1 group of thousands. Add 1 N group of thousands to the thousands place. O 4. Add thousands; 1 + 8 + 2 = 11. Write 1 in the thousands place and regroup 10 thousands into 1 group of ten thousands. R Add 1 group of ten thousands to the ten thousands place. FO 5. Add ten thousands; 1 + 5 + 3 = 9. Write 9 in the ten thousands position. Therefore, the answer is 91 260. 43 Mathematics std 4 new version.indd 43 30/07/2021 08:26  FOR ONLINE USE ONLY DO NOT DUPLICATE Example 2 Add the following numbers vertically: 13 827 + 15 685 29 512 LY Steps 1 N 1. Add ones; 7 + 5 = 12. Write 2 in the ones 13 827 position. Regroup 10 ones into 1 group of O + 15 685 tens. Add 1 group of tens to the tens place. 2 SE 2. Add tens; 1 + 2 + 8 = 11. Write 1 in the tens position. Regroup 10 tens into 1 group of 11 13 827 hundreds. Add 1 group of hundreds to the + 15 685 U hundreds place. 12 E 3. Add hundreds; 1 + 8 + 6 = 15. Write 5 in the 1 11 hundreds position. Regroup 10 hundreds 13 827 N into 1 group of thousands. Add 1 group of + 15 685 LI thousands to the thousands place. 512 1 11 N 4. Add thousands; 1 + 3 + 5 = 9. Write 9 in the 13 827 thousands position. O + 15 685 9 512 R 5. Add ten thousands; 1 + 1 = 2. Write 2 in the 1 11 FO ten thousands position. 13 827 + 15 685 Therefore, the answer is 29 512. 29 512 44 Mathematics std 4 new version.indd 44 30/07/2021 08:26  FOR ONLINE USE ONLY DO NOT DUPLICATE Example 3 Add the following numbers vertically: 31 072 + 29 853 60 925 LY Steps 1. Add ones; 2 + 3 = 5. Write 5 in the 31 072 N ones position. + 29 853 5 O 2. Add tens; 7 + 5 = 12. Write 2 in the tens 1 SE position. Regroup 10 tens into 1 group of hundreds. Add 1 group of hundreds to 31 072 + 29 853 the hundreds place. U 25 1 3. Add hundreds; 1 + 0 + 8 = 9. Write 9 in 31 072 E the hundreds position. + 29 853 N 925 LI 4. Add thousands; 1 + 9 = 10. Write 0 in 1 the thousands position. Regroup 10 N 31 072 thousands into 1 group of ten thousands. + 29 853 O Add 1 group of ten thousands to the ten 0 925 thousands place. R 5. Add ten thousands; 1 + 3 + 2 = 6. Write 1 1 FO 31 072 6 in the ten thousands position. + 29 853 Therefore, the answer is 60 925. 60 925 45 Mathematics std 4 new version.indd 45 30/07/2021 08:26  FOR ONLINE USE ONLY DO NOT DUPLICATE Exercise 3 Answer the following questions: 1. 2 636 2. 47 345 3. 36 328 + 8 345 + 17 092 + 60 606 LY 4. 64 646 5. 36 473 6. 75 755 + 5 371 + 8 357 + 15 575 N O 7. 16 661 8. 15 051 9. 85 585 + 61 836 + 8 269 + 3 385 SE 10. 52 534 11. 45 745 12. 70 605 U + 28 888 + 6 432 + 18 396 E 13. 29 327 14. 55 288 15. 25 552 N + 10 191 + 32 945 + 48 180 LI 16. 24 042 17. 38 373 18. 16 615 N + 38 977 + 36 789 + 66 997 O R 19. 48 488 20. 40 976 21. 82 466 FO + 20 011 + 32 948 + 718 46 Mathematics std 4 new version.indd 46 30/07/2021 08:26  FOR ONLINE USE ONLY DO NOT DUPLICATE Exercise 4 Answer the following questions: 1. 53 415 + 21 045 = 2. 64 124 +16 283 = 3. 75 520 + 9 221 = 4. 66 612 + 24 588 = LY 5. 48 434 + 23 537 = 6. 67 456 + 11 553 = 7. 53 656 + 6 667 = 8. 59 816 + 32 275 = N 9. 43 892 + 8 329 = 10. 77 999 + 10 001 = O 11. 57 336 12. 55 376 13. 81 858 + 12 217 + 21 206 + 12 141 SE U 14. 64 599 15. 48 879 16. 48 289 + 16 433 + 22 300 + 3 457 E N 17. 66 478 18. 39 892 19. 76 457 + 24 310 + 10 108 + 13 023 LI N 20. 61 823 21. 58 508 22. 87 735 O + 27 278 + 39 990 + 5 486 R 23. 44 876 24. 85 519 25. 18 702 FO + 26 035 + 2 791 + 79 308 47 Mathematics std 4 new version.indd 47 30/07/2021 08:26  FOR ONLINE USE ONLY DO NOT DUPLICATE Word problems on addition Example 1 A certain national park in Tanzania was reported to have 78 696 zebras and 2 323 buffaloes. What is the total number of zebras and buffaloes in the national park altogether? Solution LY Number of zebras = 78 696 Number of buffaloes = 2 323 N Add the numbers to get the total. That is, O 78 696 + 2 323 81 019 SE Therefore, there are 81 019 zebras and buffaloes in the national park. U Example 2 E Chunya district has 24 751 Mathematics and 74 552 Kiswahili N books in its schools. How many Mathematics and Kiswahili books does Chunya district have altogether? LI Solution N Number of Mathematics books = 24 751 O Number of Kiswahili books = 74 552 Add the numbers to get the total. That is, R 24 751 + 74 552 FO 99 303 Therefore, Chunya district has a total of 99 303 Mathematics and Kiswahili books. 48 Mathematics std 4 new version.indd 48 30/07/2021 08:26  FOR ONLINE USE ONLY DO NOT DUPLICATE Exercise 5 Answer the following questions: 1. A farmer stored 25 677 kilograms of maize in 2017 and 21 913 kilograms of maize in 2018. How many kilograms of maize were stored altogether? 2. A farmer sold 35 752 litres of milk in January and 27 888 litres of milk in February. How many litres of milk were sold in two LY months? 3. The youth group planted 27 698 apple seedlings and 53 564 orange seedlings. How many seedlings were planted by the N youth group? 4. Kombe gave his daughter 45 500 shillings for expenditure during O the first term. In the second term, he gave her 50 000 shillings. How much money did he give her daughter both terms? SE 5. Mwajuma's family used 5 876 litres of water in the first year and 6 328 litres in the second year. How many litres of water did the family use both years? U 6. A doctor attended 78 patients on Monday and 63 patients on Tuesday. How many patients were attended by the doctor in both days? E 7. An inspection of 9 436 cars was carried out in a certain region. N Another region inspected 10 130 cars. How many cars were inspected in both regions? LI 8. In the year 2016, Twendepamoja ward primary schools enrolled 1 050 pupils. In the same year Mwembetogwa ward N primary schools enrolled 889 pupils. How many pupils were O enrolled in both wards? R Summary FO 1. To add two or more numbers, align the digits horizontally or vertically. 2. Add the digits of the numbers from right to left. 49 Mathematics std 4 new version.indd 49 30/07/2021 08:26