Page 8 - SM Class 5 Inner.cdr

Making the Greatest Number with Given Digits
Note
To make the greatest number with given digits, write
Given digits : 5, 8, 7, 5, 2, 0, 6, 1
the digits in order from the greatest to the smallest Greatest number with these
(descending order). Keep equal digits together. digits : 87655210
Making the Smallest Number with Given Digits

Write the digits in order from the smallest to the Note
largest (ascending order). As 0445 is 45, you Given digits : 2, 7, 3, 1, 0, 4, 9, 0

cannot start numbers with zeroes. If there are Smallest number with these
digits : 10023479
zeros, place them after the next-smallest digits.

Comparing the numbers

To compare numbers, TC C TL L TTh Th H T O TC C TL L TTh Th H T O
move left to right, 4 7 8 9 5 3 2 1 0 4 7 8 9 5 3 2 1

comparing the digits at TC : 4 > 0
each place. If the digits 478953210 > 47895321
(Also because 478953210 has more digits than 47895321.)
at a place are equal,
compare the digits at the TC C TL L TTh Th H T O TC C TL L TTh Th H T O
5 3 6 7 9 4 3 2 1 5 3 6 2 5 4 3 2 1
next place on the right.
TC : 5 = 5 C : 3 = 3 TL : 6 = 6 L : 7 > 2
Remember 536794321 > 536254321

Numbers with more digits are larger.

Arranging the numbers

Example 4 : Arrange these number in :
Ascending order (Smallest to greatest) and Descending order
7, 54, 34, 108; 67, 76, 78, 676; 88, 88, 870;
TC C TL L TTh Th H T O
67, 65, 76, 676
7 5 4 3 4 1 0 8
Solution : Ascending Order
88,88,870 < 7,54,34,108 < 67,65,76,676 6 7 7 6 7 8 6 7 6
< 67,76,78,676 8 8 8 8 8 7 0
Descending order (Greatest to Smallest) 6 7 6 5 7 6 6 7 6
67,76,78,676 > 67,65,76,676 > 7,54,34,108 > 88,88,870

E xercise 1.1

1. Order these lists of numbers from smallest to largest.

a. 5262514 1726327 2736171 728381
b. 526154 2737186 72985 1527371

c. 812746 1028472 673281 1625163
8
Mathematics In Focus - 5