Knowing Our Numbers Worksheet With Answers Page 7
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7Knowing our numbers
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The digit in the second highest place in 46301 = 6,
the digit in the second highest place in 49012 = 9.
As 9 > 6, therefore, 49012 > 46301.
Example 1.
Arrange the following numbers in ascending order:
4378, 64805, 64389.
Ascending
Solution.
The number of digits in 4378 = 4,
means smaller
to greater
the number of digits in 64805 = 5 and
the number of digits in 64389 = 5.
To compare the numbers 64805 and 64389; write these numbers as shown:
Since 8 > 3, 64805 > 64389
8
6
4
0
5
∴ The given numbers in ascending order are 4378, 64389, 64805.
6
8
9
4
3
Example 2.
Arrange the following numbers in descending order:
25047, 374504, 374318, 25407, 3700911
Solution.
The number of digits in 25047 = 5,
Descending
the number of digits in 374504 = 6,
means greater
to smaller
the number of digits in 374318 = 6,
the number of digits in 25407 = 5 and
the number of digits in 3700911 = 7.
0
5
2
4
7
To compare 25047 and 25407, write the numbers as shown:
2
0
7
5
4
Since 4 > 0, 25407 > 25047.
4
5
7
3
0
4
To compare 374504 and 374318, write the numbers as shown:
Since 5 > 3, 374504 > 374318.
3
1
8
7
3
4
Thus, the given numbers in descending order are:
3700911, 374504, 374318, 25407, 25047.
formation of numbers
We can form numbers from the given digits with or without repetition of digits.
Example 3.
Write all possible 2-digit numbers that can be formed by using the digits 2, 7 and
9 when repetition of digits is not allowed.
Solution.
We are required to write 2-digit numbers. The given digits are 2, 7, 9 and the repetition
of digits is not allowed.
Out of the given digits, the possible ways of choosing two digits are
Tens
Ones
2
7
2, 7; 2, 9; 7, 9
7
2
Using the digits 2 and 7, the numbers are 27 and 72.
2
9
Similarly, using the digits 2 and 9, the numbers are 29 and 92.
9
2
Using the digits 7 and 9, the numbers are 79 and 97.
7
9
9
7
Hence, all possible 2-digit numbers are
27, 72, 29, 92, 79, 97.
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