The Handy Hundreds only has a +100 button. How many times should it be pressed to show: (a) Four hundred? (b) 3,700? (c) 10,000? (d) Fifty three thousand? (e) 90,000? (f) 97,600? (g) 1,00,000? (h) ____? 582 times (i) How many hundreds are required to make ten thousand? (j) How many hundreds are required to make one lakh? (k) Handy Hundreds says, "There are some numbers which Tedious Tens and Thoughtful Thousands can't show but I can." Is this statement true? Think and explore.
100 hundreds are required to make ten thousand.
4 times
37 times
100 times
530 times
900 times
976 times
1000 times
_____? 582 times
58200
1000 hundreds are required to make one lakh.
Yes, the statement is true. Handy Hundreds can show numbers like 300, 500, 700 which are multiples of 100. Thoughtful Thousands can only show multiples of 1000 (like 1000, 2000, 3000), so it cannot show 300, 500, or 700. Tedious Tens can show these numbers but would need many more button presses.
Explanation
(a) 400 ÷ 100 = 4 presses (b) 3700 ÷ 100 = 37 presses (c) 10000 ÷ 100 = 100 presses (d) 53000 ÷ 100 = 530 presses (e) 90000 ÷ 100 = 900 presses (f) 97600 ÷ 100 = 976 presses (g) 100000 ÷ 100 = 1000 presses (h) = 58200 (i) = 10000 (j) = 100000 (k) The chapter explores the concept that different calculators with different buttons can show different sets of numbers. Numbers that are multiples of 100 but not multiples of 1000 (like 300, 500, 700) can be shown by Handy Hundreds but not by Thoughtful Thousands.