Author Question: Use inductive reasoning to predict the next line in the pattern. Then perform the arithmetic to ... (Read 158 times)

Mimi · **on:** Feb 2, 2020

Question 1

Use inductive reasoning to predict the next line in the pattern. Then perform the arithmetic to determine whether your conjecture is correct.

(8 × 1) × (2 × 1) = 16
(8 × 10) × (2 × 2) = 320
(8 × 100) × (2 × 3) = 4800

◦ (8 × 1000) × (2 × 4) = 64,000
◦ (8 × 1000) × (2 × 4) = 56,000
◦ (8 × 1000) × (2 × 4) = 72,000
◦ (8 × 1000) × (2 × 4) = 6400

Question 2

Use inductive reasoning to predict the next line in the pattern. Then perform the arithmetic to determine whether your conjecture is correct.

37,037 × 3 = 111,111
37,037 × 6 = 222,222
37,037 × 9 = 333,333
37,037 × 12 = 444,444

◦ 37,037 × 13 = 481,481
◦ 37,037 × 18 = 666,666
◦ 37,037 × 15 = 555,555
◦ 111,111 × 15 = 1,666,665

bd5255 · **Reply #1 on:** Feb 2, 2020

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