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Forming the Smallest Odd Number Using Digits 8, 5, 3, and 4

In this lesson, we will explore how to use the digits 8, 5, 3, and 4 to create the least possible odd number. We will begin by understanding the problem and writing down the available digits. Using logical reasoning, we'll determine that the ones place must be occupied by an odd digit, either 5 or 3. After deciding on the ones digit, we will systematically place the remaining digits in ascending order to form the final number. The smallest odd number we can create with these digits is 3,485.

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Forming the Smallest Odd Number Using Digits 8, 5, 3, and 4

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  1. 2-3 Lesson 2-3 Example 4 Solve. PUZZLES Use the digits 8, 5, 3, and 4 to write the least possible number that is odd. Use each digit once. Understand Read the problem. Write what you know. Use the digits 8, 5, 3, and 4. Write the least number that is odd.

  2. 2-3 Lesson 2-3 Example 4 Plan Pick a strategy. One strategy is to use logical reasoning.

  3. 2-3 Lesson 2-3 Example 4 Solve Since the number must be odd, start with the ones place. What digits could be placed in the ones place? 5 or 3 Of those, which is the greater number? 5 Place that digit in a place-value chart in the smallest place value, the ones place. 5

  4. 2-3 Lesson 2-3 Example 4 Look at the thousands place. Of the numbers that are remaining, which number is the least? 3 Place that in the thousands place. 3 5

  5. 2-3 Lesson 2-3 Example 4 Look at the hundreds place. Of the two numbers remaining, which number is the least? 4 Place that in the hundreds place. 3 4 5

  6. 2-3 Lesson 2-3 Example 4 Place the remaining number in the tens place. Using the digits 8, 5, 3, and 4, the least possible number that is odd is 3,485. 3 4 8 5

  7. 2-3 Lesson 2-3 Example 4 Check Is the number odd? You can test to see if it is the least by using a number line.

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