Forming 3-Digit Numbers

We will learn forming 3-digit numbers.

1. Without repeating any of the digits, build the smallest and greatest 3-digit numbers using the digits 3, 7 and 2.

Greatest Number

Arrange the digits in descending order. Start with hundreds place. 7 > 3 > 2 Greatest number possible is 732.

Smallest Number

Arrange the digits in ascending order. Start with hundreds place. 2 < 3 < 7 Smallest number possible is 237.

2. Without repeating any of the digits, build the smallest and greatest 3-digit numbers using the digits 5, 6 and 2.

Greatest Number

Arrange the digits in descending order. Start with hundreds place. 6 > 5 > 2 Greatest number possible is 652.

Smallest Number

Arrange the digits in ascending order. Start with hundreds place. 2 < 5 < 6 Smallest number possible is 256.

3. Without repeating any of the digits, build the smallest and greatest 3-digit numbers using the digits 3, 4 and 1.

Greatest Number

Arrange the digits in descending order. Start with hundreds place. 4 > 3 > 1 Greatest number possible is 431.

Smallest Number

Arrange the digits in ascending order. Start with hundreds place. 1 < 3 < 4 Smallest number possible is 134.

Questions on Forming 3-Digit Numbers:

I. Draw the beads for the given numbers. One has been done for you.

 (i) 136 (ii) 585
 (iii) 900 (iv) 604
 (v) 399 (vi) 575

II. Count the beads and write the number:

 (i)       506 (ii)
 (iii) (iv)

III. Build the numbers using the given digits in each of the following, without repeating any of the digits.

(i) The greatest 3-digit number using the digits 5, 9, 0

(ii) The smallest 3-digit number using the digits 3, 0, 2

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