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Addition and, Subtraction, 2., Learning Objectives, At the end of this lesson, students will be able to:, • Add and subtract 5- and 6-digit numbers with and without grouping., • Apply the skills of addition and subtraction to solve story sums., Estimate sum and difference by rounding., Warm Up, Recall-Addition and subtraction of 4-digit numbers, Addition, You know that to add 4-digit numbers, the numbers are written, one below the other. The thousands, hundreds, tens and ones, Th H TO, 1 1, 1, digits should appear one below the other., 3 556, + 2 5 66, Add the ones first, then the tens, hundreds and thousands., 6 1 2 2, Do not forget to add the carry over., Subtraction, Th H TO, You know that to subtract a 4-digit number from another, the, numbers are written one below the other. The thousands,, hundreds, tens and ones digits should appear one below the other., 3 5 5 8, - 2 5, 6 6, 9 9 2, Subtract the ones first, then the tens, hundreds and thousands., Regroup where required., Recall exercise, 389, 1), + 496, 5), + 395 8, 2), 343, 3) 3 89 4, 4), 609 3, 5767, + 639, + 49 36, + 298 6, 7720, Scanned By Scanner Go
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10) 1980, 829, 6), 5107, 7), 6378, 9), 2700, 293 8, 8), 3040, 967, 1976, 64.2, 2953, 9, + 1045, + 1042, 8687, 11) S618 3, + 1845, 0ור, 7838, 5 718, 12) 67 8'6, - 397, 389, 14)2312, -'176, 15)- 41010, - 301, - 49 2, 13), 5 713, 264, 369, T66, 16) S68312, 17) & 2, - 7999, 20) 3068, - 2489, 18) 7 8 6 5, 19), 6 587, - 2876, 3956, -39 78, -1698, T 833, Addition of 4-digit numbers with 5-digit answer, Sometimes when you add 4-digit numbers you get a 5-digit answer., Example: Add 6643 and 8576., Step 1: Add the ones. 3+6=9, Step 2: Add the tens and regroup. 4+ 7=11, TTh Th H TO, 1, 11 tens = 1 hundred + 1 ten, 6., 4, Step 3: Add the hundreds and regroup. 1 + 6+5 = 12, 8, +, 7, 6., 12 hundreds =1 thousand + 2 hundreds, 1, Step 4: Add the thousands and regroup. 1+ 6+8 = 15, Answer: 15, 219, 15 thousands = 1 ten thousand + 5 thousands, Exercise 2.1, A. Add, 1) 5395, 2) 6075, 3) 8888, 4) 8 450, + 63 4 7, + 3987, + 3333, + 2755, 1205, 5) 4 879, + 6 2 3 9, 6) 9 875, 7) 765 4, 8) 6 6 6 6, + 456 7, 12221, +, 555, + 4 4 44, 30, ITTEO, Scanned By Scanner Go, HI6
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В. Add, 1) 3349 + 8021||370 2) 897 + 9433\03303) 4027 + 9999 Y 0261) 6578 + 43090 88, 5) 6707 + 5576128 36) 6543 + 7676 | 2 97) 8832 + 2876|| 708 8) 9876 + 678 |O554, + Addition of 5- and 6-digit numbers, Example 1: Add 43,468 and 18,833, TTh Th H TO, 1, Step 1: Add the ones: 8+3=11, 4 6 8, 4 3, + 1 8 8 3 3, Regroup: 1l ones = 1 ten + 1 one, 1, 1, 4 6 8, 8 33, 0 1, Step 2: Add the tens: 1 + 6+3 = 10, 4 3, + 1, 8., Regroup: 10 tens = 1 hundred + 0 ones, 1, 1, Step 3: Add the hundreds: 1 + 4 +8 = 13, 4 3, 4, 6 8, 1, 8., 8 33, Regroup: 13 hundreds = 1 thousand +3 hundreds, 3 0 1, 1, 1, 1, 4, 4, 6 8, Step 4: Add the thousands: 1+3 +8 = 12, + 1 8 8 3 3, 2 3 0 1, Regroup: 12 thousands = 1 ten thousand + 2 thousands, 1, 1, 1, 4 6 8, 8 3 3, 3 0 1, 4, 3, Step 5: Add the ten thousands: 1+4 +1 = 6, 1, 8, 6., Answer: 62,301, Example 2: Add 4,28,783, 3,47,492 and 26,987, Step 1: Add the ones and regroup., L TTh Th H TO, 1, 2 2 2, 1, Step 2: Add the tens and regroup., 4 2 8 7 8 3, Step 3: Add the hundreds and regroup., 3 4 7 4 9 2, Step 4: Add the thousands and regroup., 2, 6 9 87, +, Step 5: Add the ten thousands and regroup., 8, 0 3 26 2, Step 6: Add the lakhs., Answer: 8,03,262, 23, Scanned By Scanner Go
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Exercise 2.2, A. Add, Vi 600532 r 3, + 275245, 36425, 3 63412, 42726, + 22531, + 3 2 6237, + 32253, 5,456, 46932, 74979, LoT 3640:, + 19727, 6709, 19274, + 19307, 4789, + 24348, 66279, 43622, 5 6135, 3 4 5 4 64, + 2 3 2538, 5 36484, 6 12362, 3 48108, + 239518, 76525, +, + 2 3 6992, 578002, 12211, 13) 6 4 8703, 851880, 6 1300 9, i 585100, 2211, 5) 5 1 8 478, I 2! 1, 64998, 16 300 0 6, 8 4.9, 1 12499, 2 3 3803, 2 16324, 28300, 2645, 15516, 17, + 2 1.6702, +312000, + 110800, + 5 4 2268, To06204, 61 3446, 861118, 573148, В. Add, I) 259, 2569, 18720, 32343, 1234, 3) 21987, 56, 1832, 59909, 2) 3785, 108, 4789, 15064, 4るこ 。, 38032, 19280, 4089, 199, 274 1171, 5) 23124,(1892, 435, 23062, 1096, 23456, 978, 27362, 7) 326532, 538495, 56434, 8) 438102, 42324, 254126, (9) 526532, 326064, 312565, 10) 336492, 452078, 5656, 11) 5873, 36429,646707, 12) 4356345, 424567, 63456, Subtraction of 5- and 6-digit numbers, Before subtracting, let us recall how to regroup a number., 6 tens + 3 ones can be written as 5 tens + 13 ones., Similarly you can write, 5 hundreds + 8 tens, = 4 hundreds + 18 tens, 7 thousands + 5 hundreds, = 6 thousands + 15 hundreds, 8 ten thousands + 0 thousands =, ten thousands + 10 thousands, 24, Scanned By Scanner Go
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Complete the following:, 1) 3 tens + 8 ones 2 tens +, ones, 2) 2 hundreds + 5 tens =, hundred + 15 tens, 3) 9 thousands + 8 hundreds 8 thousands +, hundreds, 4) 3 ten thousands + 2 thousands = 2 ten thousands +, thousands, 5) 5 tens +9 ones = 4 tens +, ones., Example 1: Subtract 17,384 from 35,575., Step 1: Subtract the ones: 5 - 4 = 1, Step 2: Subtract the tens: But 8 >7, Regroup the hundreds:, 5 hundreds = 4 hundreds +10 tens, TTh Th H TO, 17, 3, 5 5 7 5, 1, 7 3 84, 10 tens + 7 tens = 17 tens, 9 1, Subtract: 17 - 8 = 9, Step 3: Subtract the hundreds: 4 - 3 = 1, Step 4: Subtract the thousands: But 7>5, Regroup the ten thousands:, 3 ten thousands 2 ten thousand + 10 thousands, 10 thousands +5 thousands = 15 thousands, Subtract: 15 - 7 = 8, 2, 15, 4, 17, 3 3 5 7 5, 17 3 8 4, 8 19 1, 2, 15, 4, 17, 7ロ, 3 5 3 7 5, -1 73 8 4, 1 8, Step 5: Subtract the ten thousands: 2 -1 = 1, 19 1, Answer: 18,191, Example 2: Subtract 5,37,524 from 8,28,322, 1) ( TTh Th H TO, L TTh Th H TO, L TTh Th H TO, 7 12 11 12, 8 2 8 3 Z Z, 1, 12, 2, 11 12, 8, 2 8 3 2 2, 8 2 8 3 2 2, 3 75 2 4, 5 3 7 5 2 4, 5, 3 7 52 4, 8, 9 8, 7 9 8, 25, Scanned By Scanner Go