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Step-by-step solution for: Math Problems Worksheets | Activity Shelter
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Show Answer Key & Explanations
Step-by-step solution for: Math Problems Worksheets | Activity Shelter
Let’s solve each multiplication problem step by step. We’ll go row by row, left to right.
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Row 1:
95 × 87
= (90 + 5) × 87
= 90×87 + 5×87
= 7830 + 435 = 8265
87 × 26
= 87 × (20 + 6)
= 87×20 + 87×6
= 1740 + 522 = 2262
93 × 14
= 93 × (10 + 4)
= 930 + 372 = 1302
98 × 36
= (100 - 2) × 36
= 3600 - 72 = 3528
95 × 73
= (90 + 5) × 73
= 90×73 + 5×73
= 6570 + 365 = 6935
56 × 47
= 56 × (50 - 3)
= 2800 - 168 = 2632
10 × 33 = 330
25 × 67
= 25 × (60 + 7)
= 1500 + 175 = 1675
---
Row 2:
55 × 49
= 55 × (50 - 1)
= 2750 - 55 = 2695
98 × 98
= (100 - 2)² = 10000 - 400 + 4 = 9604
76 × 47
= 76 × (50 - 3)
= 3800 - 228 = 3572
34 × 61
= 34 × (60 + 1)
= 2040 + 34 = 2074
15 × 60 = 900
48 × 23
= 48 × (20 + 3)
= 960 + 144 = 1104
31 × 68
= 31 × (70 - 2)
= 2170 - 62 = 2108
77 × 38
= 77 × (40 - 2)
= 3080 - 154 = 2926
---
Row 3:
65 × 8 = 520
11 × 7 = 77
17 × 39
= 17 × (40 - 1)
= 680 - 17 = 663
45 × 74
= 45 × (70 + 4)
= 3150 + 180 = 3330
91 × 76
= (90 + 1) × 76
= 6840 + 76 = 6916
42 × 94
= 42 × (90 + 4)
= 3780 + 168 = 3948
8 × 61 = 488
97 × 8 = 776
---
Row 4:
25 × 76
= 25 × (70 + 6)
= 1750 + 150 = 1900
86 × 67
= 86 × (60 + 7)
= 5160 + 602 = 5762
24 × 98
= 24 × (100 - 2)
= 2400 - 48 = 2352
92 × 83
= 92 × (80 + 3)
= 7360 + 276 = 7636
55 × 23
= 55 × (20 + 3)
= 1100 + 165 = 1265
73 × 27
= 73 × (30 - 3)
= 2190 - 219 = 1971
10 × 19 = 190
99 × 10 = 990
---
Row 5:
38 × 30 = 1140
51 × 18
= 51 × (20 - 2)
= 1020 - 102 = 918
77 × 89
= 77 × (90 - 1)
= 6930 - 77 = 6853
83 × 24
= 83 × (20 + 4)
= 1660 + 332 = 1992
59 × 98
= 59 × (100 - 2)
= 5900 - 118 = 5782
65 × 52
= 65 × (50 + 2)
= 3250 + 130 = 3380
77 × 31
= 77 × (30 + 1)
= 2310 + 77 = 2387
95 × 59
= 95 × (60 - 1)
= 5700 - 95 = 5605
---
Row 6:
25 × 29
= 25 × (30 - 1)
= 750 - 25 = 725
19 × 6 = 114
23 × 24
= 23 × (20 + 4)
= 460 + 92 = 552
44 × 83
= 44 × (80 + 3)
= 3520 + 132 = 3652
73 × 56
= 73 × (50 + 6)
= 3650 + 438 = 4088
28 × 95
= 28 × (100 - 5)
= 2800 - 140 = 2660
98 × 20 = 1960
54 × 42
= 54 × (40 + 2)
= 2160 + 108 = 2268
---
Row 7:
45 × 83
= 45 × (80 + 3)
= 3600 + 135 = 3735
50 × 30 = 1500
34 × 66
= 34 × (60 + 6)
= 2040 + 204 = 2244
60 × 29 = 1740
25 × 97
= 25 × (100 - 3)
= 2500 - 75 = 2425
11 × 48 = 528
81 × 87
= (80 + 1)(80 + 7)
= 80×80 + 80×7 + 1×80 + 1×7
= 6400 + 560 + 80 + 7 = 7047
26 × 86
= 26 × (80 + 6)
= 2080 + 156 = 2236
---
Row 8:
68 × 72
= (70 - 2)(70 + 2) = 70² - 2² = 4900 - 4 = 4896
97 × 24
= 97 × (20 + 4)
= 1940 + 388 = 2328
46 × 32
= 46 × (30 + 2)
= 1380 + 92 = 1472
58 × 81
= 58 × (80 + 1)
= 4640 + 58 = 4698
74 × 61
= 74 × (60 + 1)
= 4440 + 74 = 4514
57 × 44
= 57 × (40 + 4)
= 2280 + 228 = 2508
38 × 7 = 266
85 × 73
= 85 × (70 + 3)
= 5950 + 255 = 6205
---
Final Answer:
8265, 2262, 1302, 3528, 6935, 2632, 330, 1675,
2695, 9604, 3572, 2074, 900, 1104, 2108, 2926,
520, 77, 663, 3330, 6916, 3948, 488, 776,
1900, 5762, 2352, 7636, 1265, 1971, 190, 990,
1140, 918, 6853, 1992, 5782, 3380, 2387, 5605,
725, 114, 552, 3652, 4088, 2660, 1960, 2268,
3735, 1500, 2244, 1740, 2425, 528, 7047, 2236,
4896, 2328, 1472, 4698, 4514, 2508, 266, 6205
---
Row 1:
95 × 87
= (90 + 5) × 87
= 90×87 + 5×87
= 7830 + 435 = 8265
87 × 26
= 87 × (20 + 6)
= 87×20 + 87×6
= 1740 + 522 = 2262
93 × 14
= 93 × (10 + 4)
= 930 + 372 = 1302
98 × 36
= (100 - 2) × 36
= 3600 - 72 = 3528
95 × 73
= (90 + 5) × 73
= 90×73 + 5×73
= 6570 + 365 = 6935
56 × 47
= 56 × (50 - 3)
= 2800 - 168 = 2632
10 × 33 = 330
25 × 67
= 25 × (60 + 7)
= 1500 + 175 = 1675
---
Row 2:
55 × 49
= 55 × (50 - 1)
= 2750 - 55 = 2695
98 × 98
= (100 - 2)² = 10000 - 400 + 4 = 9604
76 × 47
= 76 × (50 - 3)
= 3800 - 228 = 3572
34 × 61
= 34 × (60 + 1)
= 2040 + 34 = 2074
15 × 60 = 900
48 × 23
= 48 × (20 + 3)
= 960 + 144 = 1104
31 × 68
= 31 × (70 - 2)
= 2170 - 62 = 2108
77 × 38
= 77 × (40 - 2)
= 3080 - 154 = 2926
---
Row 3:
65 × 8 = 520
11 × 7 = 77
17 × 39
= 17 × (40 - 1)
= 680 - 17 = 663
45 × 74
= 45 × (70 + 4)
= 3150 + 180 = 3330
91 × 76
= (90 + 1) × 76
= 6840 + 76 = 6916
42 × 94
= 42 × (90 + 4)
= 3780 + 168 = 3948
8 × 61 = 488
97 × 8 = 776
---
Row 4:
25 × 76
= 25 × (70 + 6)
= 1750 + 150 = 1900
86 × 67
= 86 × (60 + 7)
= 5160 + 602 = 5762
24 × 98
= 24 × (100 - 2)
= 2400 - 48 = 2352
92 × 83
= 92 × (80 + 3)
= 7360 + 276 = 7636
55 × 23
= 55 × (20 + 3)
= 1100 + 165 = 1265
73 × 27
= 73 × (30 - 3)
= 2190 - 219 = 1971
10 × 19 = 190
99 × 10 = 990
---
Row 5:
38 × 30 = 1140
51 × 18
= 51 × (20 - 2)
= 1020 - 102 = 918
77 × 89
= 77 × (90 - 1)
= 6930 - 77 = 6853
83 × 24
= 83 × (20 + 4)
= 1660 + 332 = 1992
59 × 98
= 59 × (100 - 2)
= 5900 - 118 = 5782
65 × 52
= 65 × (50 + 2)
= 3250 + 130 = 3380
77 × 31
= 77 × (30 + 1)
= 2310 + 77 = 2387
95 × 59
= 95 × (60 - 1)
= 5700 - 95 = 5605
---
Row 6:
25 × 29
= 25 × (30 - 1)
= 750 - 25 = 725
19 × 6 = 114
23 × 24
= 23 × (20 + 4)
= 460 + 92 = 552
44 × 83
= 44 × (80 + 3)
= 3520 + 132 = 3652
73 × 56
= 73 × (50 + 6)
= 3650 + 438 = 4088
28 × 95
= 28 × (100 - 5)
= 2800 - 140 = 2660
98 × 20 = 1960
54 × 42
= 54 × (40 + 2)
= 2160 + 108 = 2268
---
Row 7:
45 × 83
= 45 × (80 + 3)
= 3600 + 135 = 3735
50 × 30 = 1500
34 × 66
= 34 × (60 + 6)
= 2040 + 204 = 2244
60 × 29 = 1740
25 × 97
= 25 × (100 - 3)
= 2500 - 75 = 2425
11 × 48 = 528
81 × 87
= (80 + 1)(80 + 7)
= 80×80 + 80×7 + 1×80 + 1×7
= 6400 + 560 + 80 + 7 = 7047
26 × 86
= 26 × (80 + 6)
= 2080 + 156 = 2236
---
Row 8:
68 × 72
= (70 - 2)(70 + 2) = 70² - 2² = 4900 - 4 = 4896
97 × 24
= 97 × (20 + 4)
= 1940 + 388 = 2328
46 × 32
= 46 × (30 + 2)
= 1380 + 92 = 1472
58 × 81
= 58 × (80 + 1)
= 4640 + 58 = 4698
74 × 61
= 74 × (60 + 1)
= 4440 + 74 = 4514
57 × 44
= 57 × (40 + 4)
= 2280 + 228 = 2508
38 × 7 = 266
85 × 73
= 85 × (70 + 3)
= 5950 + 255 = 6205
---
Final Answer:
8265, 2262, 1302, 3528, 6935, 2632, 330, 1675,
2695, 9604, 3572, 2074, 900, 1104, 2108, 2926,
520, 77, 663, 3330, 6916, 3948, 488, 776,
1900, 5762, 2352, 7636, 1265, 1971, 190, 990,
1140, 918, 6853, 1992, 5782, 3380, 2387, 5605,
725, 114, 552, 3652, 4088, 2660, 1960, 2268,
3735, 1500, 2244, 1740, 2425, 528, 7047, 2236,
4896, 2328, 1472, 4698, 4514, 2508, 266, 6205
Parent Tip: Review the logic above to help your child master the concept of math worksheet for adult.