Page 6 - CBQ-CL-6-CH-3 NUMBER PLAY

The sequence formed with starting number 22 is as follows:
22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1.
The sequence formed with starting number 19 is as follows:
19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8,4, 2, 1.
The sequence formed with starting number 18 is as follows:
18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1.
Hence, the Collatz Conjecture holds for the given numbers: 35, 22, 19, 18. 37 tiles

16. (a) 730 + 998
Since, 730 is closer to 700,
And, 998 is closer to 1000.
∴ Estimated sum = 700 + 1000
= 1700.

(b) 796 – 314
Since, 796 is closer to 800,
And, 314 is closer to 300.
∴ Estimated difference = 800 – 300
= 500.

(c) 958 × 387

Since, 958 is closer to 1000,
And, 387 is closer to 400.
∴ Estimated product = 1000 × 400 = 400000.

(d) 765 ÷ 95
Since, 765 is closer to 800,
And, 95 is closer to 100.
∴ Estimated quotient = 800 + 100 = 8.

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