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Here you will learn about even numbers, including examples of even numbers, even numbers on a number line and a number chart, and properties of even numbers.
Students will first learn about even numbers as part of operations and algebraic thinking in 2nd grade. They expand upon their knowledge of even numbers in 3rd grade when they identify arithmetic patterns and properties of numbers.
Even numbers are whole numbers that are multiples of 2. This means that every even number is divisible by 2 with no remainders.
The last digit of an even number (the digit in the ones place), is always 0, 2, 4, 6, or 8. The smallest even number is zero.
Even numbers are the opposite of odd numbers, which are not divisible by 2 without remainders. An odd number’s last digit is 1, 3, 5, 7, or 9.
For example,
Examples of even numbers  Examples of odd numbers 

0, 2, 4, 6, 8, 10,
 1, 3, 5, 7, 9, 11,

To identify an even number, you can look at the last digit, use a number line, or use a number chart.
Last digit
 The last digit of a number, or the digit in the ones place, will tell
1,597,631,58\underline{6}

Number line  Start with a number whose last digit is 0, 2, 4, 6, or 8 and jump 
Number chart
 On a number chart each column that begins with 2, 4, 6, 8, or
This chart shows a list of even numbers between 1 and 100.

Properties of even numbers and odd numbers
Groups of objects
For example,
Since all of the objects in this group can 
After grouping the objects into pairs, there 
How does this relate to 2nd grade and 3rd grade math?
In order to identify even numbers:
In order to determine if the answer to an equation will be an even number:
In order to determine if there is an even number of objects in a group:
Assess math progress for the end of grade 4 and grade 5 or prepare for state assessments with these mixed topic, multiple choice questions and extended response questions!
DOWNLOAD FREEAssess math progress for the end of grade 4 and grade 5 or prepare for state assessments with these mixed topic, multiple choice questions and extended response questions!
DOWNLOAD FREETrue or false: 754 is an even number.
The last digit, or the digit in the ones place, is 4.
2Use this strategy to answer the question.
Since the last digit in 754 is 4, it is an even number, so the statement is true.
List all even numbers between 45 and 55.
Look at the last digit, or the digit in the ones place. If the digit is \bf{0, 2, 4, 6,} or \bf{8,} the number is even.
All numbers between 45 and 55 are:
45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55
Find the numbers that end in 0, 2, 4, 6, or 8 :
45, 4\underline{6}, 47, 4\underline{8}, 49, 5\underline{0}, 51, 5\underline{2}, 53, 5\underline{4}, 55
Use this strategy to answer the question.
The even numbers between 45 and 55 are 46, 48, 50, 52, and 54.
Look at the list of numbers. Which numbers are even?
95, 236, 148, 300, 721, 688, 177, 533, 339, 410
Look at the last digit, or the digit in the ones place. If the digit is \bf{0, 2, 4, 6,} or \bf{8,} the number is even.
Use this strategy to answer the question.
The even numbers are 236, 148, 300, 688, and 410.
Lincoln is subtracting an even number from an even number. He thinks the difference will be an even number, but his friend Beth says it will be odd. Who is correct?
Recall the properties of addition, subtraction, or multiplication for even numbers.
Apply the correct property.
Since Lincoln is subtracting, he will use the property of subtraction, which says an even number subtracted from an even number will always result in an even number. Therefore, Lincoln is correct.
Maria solves the following equation:
725,984 + 539,046 = 1,265,031
Her friend glances at the equation and tells her it’s incorrect. How does her friend know this is incorrect?
Recall the properties of addition, subtraction, or multiplication for even numbers.
Apply the correct property.
The two numbers being added together end in a 4 and a 6, respectively. That means they are both even numbers.
725,98\underline{4} + 539,04\underline{6} = 1,265,03\underline{1}
The property of addition of even numbers says an even number plus an even number will always result in an even number.
The last digit of Maria’s answer is a 1, which means it is an odd number, so Maria’s answer can’t be correct.
Look at the objects in the square. Is there an even number of objects?
Group the objects into pairs.
If all objects can be grouped into pairs, there is an even number of objects. If there is one left over, there is an odd number of objects.
All of the objects have been grouped into pairs, but there is one left over. Therefore, there is NOT an even number of objects.
1. Which of the following is an even number?
The last digit of an even number is 0, 2, 4, 6, or 8.
Therefore, 18 is an even number.
2. What is the smallest even number?
Zero is the smallest even number because it is the smallest number that is divisible by 2 and the quotient is an integer. (Zero divided by two is zero.)
3. What are the even numbers between 99 and 110?
The last digit of an even number is always 0, 2, 4, 6, or 8.
100, 102, 104, 106, 108, and 110 are the only set of numbers that all end in one of those digits.
4. When you add an even number and an even number, the answer will…
always be an even number.
sometimes be an even number.
never be an even number.
always be an odd number
The property of addition of even numbers says that when you add an even number to an even number the sum will always be an even number.
5. True or false: When you subtract an even number from an even number, you will get an odd number.
True because the property of subtraction of even numbers says \text{even number } – \text{ even number } = \text{ odd number}
False because the property of subtraction of even numbers says \text{even number } – \text{ even number } = \text{ even number}
True because the property of subtraction of even numbers says \text{even number } – \text{ even number } = \text{ even number}
False because the property of subtraction of even numbers says \text{even number } – \text{ even number } = \text{ odd number}
The property of subtraction of even numbers says when you subtract an even number from an even number the difference will always be an even number.
6. Look at the group of triangles in the circle. Is there an even number of triangles?
Yes because if you group the triangles into pairs, there is one left over.
No because if you group the triangles into pairs, there is one left over.
Yes because if you group the triangles into pairs, there are none left over.
No because if you group the triangles into pairs, there are none left over.
If you group the triangles into pairs, you will see there are none left over. This means there is an even number of triangles.
An even number is a whole number that is a multiple of 2. This means that every even number is divisible by 2 with no remainders.
An even number is divisible by 2 with no remainders and an odd number is not. The last digit of an even number is 0, 2, 4, 6, or 8, while the last digit of an odd number is 1, 3, 5, 7, or 9.
Even numbers and odd numbers are integers. Therefore, fractions and decimals are neither even nor odd.
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