1.

Study the pattern :1 × 8 + 1 = 912 × 8 + 2 = 98123 × 8 + 3 = 9871234 × 8 + 4 = 987612345 × 8 + 5 = 98765Write the next two steps, can you say how the pattern works?(Hint: 12345 = 11111 + 1111 +111 +11 +1).

Answer»

123456 × 8 + 6 = 987648 + 6 = 987654

1234567 × 8 + 7 = 9876536 + 7 = 9876543

Yes, the pattern works.

As 123456= 111111 + 11111 + 1111 + 111 + 11 + 1.

123456 × 8 = ( 111111 + 11111 + 1111 + 111 + 11 + 1) × 8

= 111111 × 8 + 11111 × 8 + 1111 × 8 + 111 × 8 + 11 × 8 + 1 × 8

= 888888 + 88888 + 8888 +888 + 88 + 8 = 987648

= 123456 × 8 + 6 = 987648 + 6 = 987654



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