At the end of the lesson, students should be able to make the largest and smallest possible numbers with a set of given digits

__Example 1__

**Write any three numbers you can make using the following digits.**

i.3, 7, 8, 2

ii.3, 0, 5, 1

iii. 9, 2, 1, 8

**NOTE: these are open ended questions with several correct answers.**

__Solution__

i.Using the digits 3, 7, 8, 2, you can make.

(a) **7,328** (b) **2,387** (c) **8,732**.

ii.Using the digits 3, 0, 5, 1, you can make.

(a) **1,053** (b) **5,310** (c) **5,013**.

iii. Using the digits 9, 2 , 1 , 8, you can make.

(a) **1,829** (b) **2, 189** (c) **9,281**.

__Example 2__

Write the **largest possible number** using the following digits.

i.3, 7, 8, 2

ii.3, 0, 5, 1

iii. 9, 2, 1, 8

__Solution__

i.The largest possible number you can write using 3, 7, 8, 2 is **8,732.**

ii.The largest possible number you can write using 3, 0, 5, 1 is **5,310**.

iii. The largest possible number you can write using 9, 2, 1, 8 is **9,821**.

__Example 3__

Write the **smallest possible number** using the following digits.

i.3, 7, 8, 2

ii.3, 0, 5, 1

iii. 9, 2, 1, 8

__Solution__

i.The smallest possible number you can write using 3, 7, 8, 2 is **2,378**.

ii.The smallest possible number you can write using 3, 0, 5, 1 is **1035**.

iii. The smallest possible number you can write using 9, 2, 1, 8 is **1,289**.

**NOTE: some examples are closed questions with only one correct answer.**

**Also note that a number cannot begin with a zero, so when you are writing the smallest possible number with zero look out for the next smallest number after the zero and use it as in example 3 ii.**

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