Mathematics Grade 3 15 min

Largest/smallest number possible

Largest/smallest number possible

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1

Introduction & Learning Objectives

Learning Objectives Arrange a given set of digits to form the largest possible number. Arrange a given set of digits to form the smallest possible number. Explain how place value helps determine the size of a number. Apply the special rule for the digit '0' when creating the smallest number. Solve simple word problems that require forming the largest or smallest number. Compare two numbers made from the same set of digits and identify which is larger or smaller. If you had the digits 5, 2, and 9 to make a video game score, what's the highest score you could possibly get? 🎮 In this lesson, we will learn how to be number detectives! We will use logical reasoning and our knowledge of place value to arrange digits and build the biggest and smallest numbers possi...
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Key Concepts & Vocabulary

TermDefinitionExample DigitA single symbol used to write numbers. The digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.In the number 384, the digits are 3, 8, and 4. Place ValueThe value of a digit based on its position in a number. The main place values we use are ones, tens, and hundreds.In the number 529, the 5 is in the hundreds place, the 2 is in the tens place, and the 9 is in the ones place. Largest NumberThe number with the greatest possible value you can make from a set of digits.With the digits 1, 7, and 4, the largest number you can make is 741. Smallest NumberThe number with the least possible value you can make from a set of digits.With the digits 1, 7, and 4, the smallest number you can make is 147. Descending OrderArranging numbers or digits from the greatest value to the least...
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Core Formulas

Rule for the Largest Number Arrange digits in descending order (greatest to least). To build the biggest number, you want the biggest digits in the biggest place values. Place the largest digit in the hundreds place, the next largest in the tens place, and so on. Rule for the Smallest Number Arrange digits in ascending order (least to greatest). To build the smallest number, you want the smallest digits in the biggest place values. Place the smallest digit in the hundreds place, the next smallest in the tens place, and so on. The Special Zero Rule When making the smallest number, '0' cannot be the first digit. If '0' is one of your digits, you cannot start the number with it. Instead, use the next smallest digit to start the number, and then place...

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Sample Practice Questions

Challenging
What is the difference between the largest and smallest 4-digit numbers you can make using the digits 6, 0, 1, and 8?
A.8442
B.7542
C.6942
D.8610
Challenging
I made the smallest possible 3-digit number using three different digits. The digit in the tens place is 0. The digit in the ones place is 5. What was the digit in the hundreds place?
A.1
B.2
C.4
D.6
Challenging
Using the digits 7, 2, 9, and 4, what is the largest EVEN number you can make?
A.9724
B.9742
C.4972
D.2974

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