Mathematics
Grade 1
15 min
Put numbers up to 100 in order
Put numbers up to 100 in order
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1
Introduction & Learning Objectives
Learning Objectives
Compare any two numbers up to 100 using place value.
Arrange a given set of numbers up to 100 in ascending order.
Arrange a given set of numbers up to 100 in descending order.
Identify the smallest and largest numbers within a set of up to five numbers.
Use a number line to visualize and verify the order of numbers up to 100.
Explain the importance of place value when ordering numbers.
Correct errors in pre-ordered sequences of numbers up to 100.
Have you ever seen items listed from smallest to largest, like shoe sizes or prices? 📏 How do we know which number comes first?
In this lesson, you will learn how to compare and arrange numbers up to 100 in both ascending (smallest to largest) and descending (largest to smallest) order. This fundamental skill...
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Key Concepts & Vocabulary
TermDefinitionExample
Ascending OrderArranging numbers from the smallest value to the largest value.The numbers 12, 25, 30, 48 are in ascending order.
Descending OrderArranging numbers from the largest value to the smallest value.The numbers 95, 81, 73, 60 are in descending order.
Place ValueThe value of a digit based on its position in a number (e.g., in 45, the '4' is in the tens place and represents 40, while the '5' is in the ones place and represents 5).In the number 72, the digit 7 has a place value of 70 (7 tens), and the digit 2 has a place value of 2 (2 ones).
Comparing NumbersDetermining whether one number is greater than (>), less than (<), or equal to (=) another number.When comparing 53 and 35, we find that 53 > 35.
Tens DigitThe digit in the tens...
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Core Formulas
Rule for Comparing Two-Digit Numbers (Tens Digit First)
To compare two numbers $A$ and $B$ (where $A, B \le 100$): \ If the tens digit of $A$ is greater than the tens digit of $B$, then $A > B$.
Always start by looking at the digit in the tens place. The number with the larger tens digit is the greater number, regardless of its ones digit.
Rule for Comparing Two-Digit Numbers (Ones Digit Second)
If the tens digit of $A$ is equal to the tens digit of $B$: \ Compare their ones digits. If the ones digit of $A$ is greater than the ones digit of $B$, then $A > B$.
If the tens digits are the same, you then move to the ones place. The number with the larger ones digit will be the greater number.
Number Line Ordering Principle
For any two numbers $A$ and $B$ on a number...
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Challenging
Using the digits 4, 7, and 2, you must form two different two-digit numbers. What is the correct ascending order of the smallest possible number, the largest possible number, and the number 50?
A.24, 50, 74
B.27, 50, 72
C.42, 50, 74
D.24, 50, 47
Challenging
Four students in a race have bib numbers 38, 81, 43, and 80. They finish the race in an order that is descending based on their bib numbers. Which bib number belongs to the student who finished in third place?
A.81
B.80
C.38
D.43
Challenging
Three of the following lists are in correct ascending order. Which list is NOT in ascending order?
A.7, 17, 27, 37
B.11, 13, 31, 33
C.28, 35, 49, 41
D.50, 62, 65, 70
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