Here are some patterns. Follow them and extend them:
(i)
1 × 9 + 2 = 11
12 × 9 + 3 = 111
123 × 9 + 4 = 1111
1234 × 9 + 5 = 11111
12345 × 9 + 6 = _______
123456 × 9 + 7 = _______
(ii)
1 × 8 + 1 = 9
12 × 8 + 2 = 98
123 × 8 + 3 = 987
1234 × 8 + 4 = 9876
12345 × 8 + 5 = _______
123456 × 8 + 6 = _______
(iii)
111 ÷ 3 = 37
222 ÷ 6 = 37
333 ÷ 9 = 37
444 ÷ 12 = 37
555 ÷ 15 = _______
666 ÷ 18 = _______
(iv)
9 + 1 = 10
90 + 10 = 100
900 + 100 = 1000
9000 + 1000 = _______
90000 + 10000 = _______
900000 + 100000 = _______
Follow the pattern of the following products and extend them further:
(i)
5 × 5 = 25
55 × 5 = 275
555 × 5 = 2775
5555 × 5 = 27775
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55555555 × 5 = 277777775
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(ii)
404 × 404 = 163216
505 × 505 = 255025
606 × 606 = 367236
707 × 707 = 499849
808 × 808 = 652864
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In patterns here are some unsolved questions for the students to understand and complete the questions on patterns.
Related Concept
● Patterns and Mental Mathematics
● Counting Numbers in Proper Pattern
● Puzzle
● Patterns
4th Grade Math Activities
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