Section 1
📘 Even and Odd Numbers
New Concept
The numbers we say when we start with 2 and then count up by twos are even numbers.
What’s next
Next, you’ll apply this rule to identify even and odd numbers and use this property to solve problems.
In this Grade 4 lesson from Saxon Math Intermediate 4, students learn to identify even and odd numbers by examining a number's last digit and understand that even numbers can be divided into two equal groups while odd numbers cannot. Students practice classifying whole numbers including zero, and apply their understanding to construct three-digit even or odd numbers using given digits. The lesson also introduces generalizations about the sums of even and odd numbers.
Section 1
📘 Even and Odd Numbers
The numbers we say when we start with 2 and then count up by twos are even numbers.
Next, you’ll apply this rule to identify even and odd numbers and use this property to solve problems.
Section 2
even numbers
The numbers we say when we start with 2 and then count up by twos are even numbers (). An even number of objects can be separated into two equal groups.
is even because its last digit is . is even because it can be split into two equal groups of . The number ends in an even digit, , so it is an even number.
Think of even numbers as perfect for sharing! If you have an even number of cookies, you can split them into two equal piles with none left over. The easiest trick is to check the last digit: if it’s a 0, 2, 4, 6, or 8, then the whole number is even, no matter how big it is.
Section 3
odd number
If a whole number is not an even number, then it is an odd number (). If you try to separate an odd number of objects into two equal groups, there will be one extra object.
is odd because its last digit is . is odd because it ends in . Trying to split dots into two groups leaves one dot leftover, proving is odd.
Odd numbers are the quirky individualists of the number world! When you try to divide them into two equal groups, there’s always one item left out, like the odd one out. A number is odd if its very last digit is a 1, 3, 5, 7, or 9. That's the only clue you need!
Section 4
Sum of two odd numbers
Will the sum of any two odd numbers be an odd number or an even number? The sum will always be an even number.
. . .
When you add two odd numbers, think of it as combining two groups that each have a 'leftover one.' These two lonely leftovers find each other and form a new pair! Because the leftovers pair up perfectly, the final sum is always a nice, neat even number. It's like teamwork making the dream work!
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Section 1
📘 Even and Odd Numbers
The numbers we say when we start with 2 and then count up by twos are even numbers.
Next, you’ll apply this rule to identify even and odd numbers and use this property to solve problems.
Section 2
even numbers
The numbers we say when we start with 2 and then count up by twos are even numbers (). An even number of objects can be separated into two equal groups.
is even because its last digit is . is even because it can be split into two equal groups of . The number ends in an even digit, , so it is an even number.
Think of even numbers as perfect for sharing! If you have an even number of cookies, you can split them into two equal piles with none left over. The easiest trick is to check the last digit: if it’s a 0, 2, 4, 6, or 8, then the whole number is even, no matter how big it is.
Section 3
odd number
If a whole number is not an even number, then it is an odd number (). If you try to separate an odd number of objects into two equal groups, there will be one extra object.
is odd because its last digit is . is odd because it ends in . Trying to split dots into two groups leaves one dot leftover, proving is odd.
Odd numbers are the quirky individualists of the number world! When you try to divide them into two equal groups, there’s always one item left out, like the odd one out. A number is odd if its very last digit is a 1, 3, 5, 7, or 9. That's the only clue you need!
Section 4
Sum of two odd numbers
Will the sum of any two odd numbers be an odd number or an even number? The sum will always be an even number.
. . .
When you add two odd numbers, think of it as combining two groups that each have a 'leftover one.' These two lonely leftovers find each other and form a new pair! Because the leftovers pair up perfectly, the final sum is always a nice, neat even number. It's like teamwork making the dream work!
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter