The image contains a math worksheet with 20 multiplication problems. Each problem involves multiplying two 3-digit numbers.
Here are the solutions to each problem, solved step by step:
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Row 1:
1.
112 × 113
= 112 × (100 + 10 + 3)
= 112×100 = 11,200
+ 112×10 = 1,120 → total so far: 12,320
+ 112×3 = 336 → total:
12,656
2.
114 × 115
= 114 × (100 + 10 + 5)
= 11,400 + 1,140 + 570 =
13,110
3.
113 × 116
= 113 × (100 + 10 + 6)
= 11,300 + 1,130 + 678 =
13,108
4.
115 × 111
= 115 × (100 + 10 + 1)
= 11,500 + 1,150 + 115 =
12,765
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Row 2:
5.
123 × 125
= 123 × (100 + 20 + 5)
= 12,300 + 2,460 + 615 =
15,375
6.
124 × 122
= 124 × (100 + 20 + 2)
= 12,400 + 2,480 + 248 =
15,128
7.
122 × 127
= 122 × (100 + 20 + 7)
= 12,200 + 2,440 + 854 =
15,494
8.
125 × 122
= 125 × (100 + 20 + 2)
= 12,500 + 2,500 + 250 =
15,250
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Row 3:
9.
136 × 132
= 136 × (100 + 30 + 2)
= 13,600 + 4,080 + 272 =
17,952
10.
135 × 133
= 135 × (100 + 30 + 3)
= 13,500 + 4,050 + 405 =
17,955
11.
136 × 131
= 136 × (100 + 30 + 1)
= 13,600 + 4,080 + 136 =
17,816
12.
137 × 132
= 137 × (100 + 30 + 2)
= 13,700 + 4,110 + 274 =
18,084
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Row 4:
13.
143 × 145
= 143 × (100 + 40 + 5)
= 14,300 + 5,720 + 715 =
20,735
14.
144 × 143
= 144 × (100 + 40 + 3)
= 14,400 + 5,760 + 432 =
20,592
15.
145 × 142
= 145 × (100 + 40 + 2)
= 14,500 + 5,800 + 290 =
20,590
16.
146 × 143
= 146 × (100 + 40 + 3)
= 14,600 + 5,840 + 438 =
20,878
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Row 5:
17.
158 × 151
= 158 × (100 + 50 + 1)
= 15,800 + 7,900 + 158 =
23,858
18.
154 × 154
= 154² = (150 + 4)² = 150² + 2×150×4 + 4² = 22,500 + 1,200 + 16 =
23,716
19.
151 × 156
= 151 × (100 + 50 + 6)
= 15,100 + 7,550 + 906 =
23,556
20.
155 × 153
= 155 × (100 + 50 + 3)
= 15,500 + 7,750 + 465 =
23,715
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Final Answer:
12656, 13110, 13108, 12765, 15375, 15128, 15494, 15250, 17952, 17955, 17816, 18084, 20735, 20592, 20590, 20878, 23858, 23716, 23556, 23715
Parent Tip: Review the logic above to help your child master the concept of 3 x 3 multiplication worksheet.
