Mathematics
Grade 3
15 min
Order numbers
Order numbers
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Order a set of three-digit numbers from least to greatest.
Order a set of three-digit numbers from greatest to least.
Use the greater than (>), less than (<), and equal to (=) symbols to correctly compare two numbers.
Identify the largest and smallest number in a given set of up to five numbers.
Explain how to use place value (hundreds, tens, and ones) to compare and order numbers.
Solve simple word problems that require ordering numbers.
Who won the video game? 🎮 To find out, we need to put the scores in order from highest to lowest!
In this lesson, you will learn how to arrange numbers in a specific sequence, either from smallest to biggest or biggest to smallest. This is a very important skill that helps us understand and compare amounts in the...
2
Key Concepts & Vocabulary
TermDefinitionExample
OrderTo arrange numbers or objects in a certain sequence, like from smallest to largest.The numbers 2, 5, 8 are in order from least to greatest.
Least to GreatestArranging numbers from the smallest value to the largest value.The numbers 110, 250, 300 are in order from least to greatest.
Greatest to LeastArranging numbers from the largest value to the smallest value.The numbers 98, 54, 21 are in order from greatest to least.
Place ValueThe value of a digit based on its position in a number (hundreds, tens, ones).In the number 472, the 4 is in the hundreds place and means 400.
Greater Than (>)A symbol used to show that the first number is larger than the second number.5 > 3 means '5 is greater than 3'.
Less Than (<)A symbol used to show that the firs...
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Core Formulas
The Place Value Comparison Rule
Start Left: Compare digits from the largest place value to the smallest (Hundreds -> Tens -> Ones).
To compare two numbers, always start by looking at the digit in the largest place value position (the one furthest to the left). The number with the bigger digit in that place is the bigger number.
The 'If They're the Same' Rule
If digits in a place value are the same, move one place to the right and compare again.
If the digits in the hundreds place are equal, you can't decide which number is bigger yet. You must move to the tens place to compare. If those are also the same, move to the ones place.
Comparison Symbols
a > b (greater than), a < b (less than), a = b (equal to)
Use these symbols to write a nu...
4 more steps in this tutorial
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Challenging
You need to make a 3-digit number using the digits 9, 2, and 7 exactly once. The number must be greater than 750. What is the number?
A.279
B.729
C.297
D.792
Challenging
Four friends have game scores. Tom's score is less than Pam's. Sam's score is the greatest. Kim's score is greater than Pam's but less than Sam's. Which list shows a possible order of their scores from least to greatest?
A.Tom, Pam, Kim, Sam
B.Sam, Kim, Pam, Tom
C.Pam, Tom, Kim, Sam
D.Tom, Kim, Pam, Sam
Challenging
The numbers below are in order from least to greatest, but one number is missing. Which number could be the missing number? 589, 598, ____, 612, 621
A.588
B.605
C.613
D.597
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