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What is How You Know if a Number is Even?
Grade Level:
Pre-School – Class 2
All domains without exception
Definition
What is it?
To know if a number is even, you simply check its last digit. If the last digit is 0, 2, 4, 6, or 8, then the entire number is even. Even numbers can always be divided into two equal groups without anything left over.
Simple Example
Quick Example
Imagine you have 10 ladoos. Can you share them equally between two friends? Yes, each friend gets 5 ladoos. Since 10 can be divided equally by 2, and its last digit is 0, 10 is an even number.
Worked Example
Step-by-Step
Let's check if the number 754 is even.
Step 1: Look at the last digit of the number 754.
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Step 2: The last digit of 754 is 4.
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Step 3: Recall the rule for even numbers: if the last digit is 0, 2, 4, 6, or 8, the number is even.
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Step 4: Since 4 is one of these digits, 754 is an even number.
Answer: Yes, 754 is an even number.
Why It Matters
Understanding even numbers is a basic building block for many math concepts like fractions, division, and patterns. It's used by computer programmers to sort data, by shopkeepers to count items, and by engineers to design systems efficiently. It helps us organize things in daily life.
Common Mistakes
MISTAKE: Thinking only small numbers can be even or odd. Forgetting that large numbers also follow the same rule based on their last digit. | CORRECTION: The rule (checking the last digit) applies to ALL numbers, no matter how big or small.
MISTAKE: Confusing even numbers with numbers that are multiples of 5 (ending in 0 or 5). | CORRECTION: Even numbers must end in 0, 2, 4, 6, or 8. Numbers ending in 5 are always odd.
MISTAKE: Only checking the first digit of a number. | CORRECTION: You must always check the LAST digit of a number to determine if it's even or odd.
Practice Questions
Try It Yourself
QUESTION: Is 347 an even number? | ANSWER: No, because its last digit is 7, which is not 0, 2, 4, 6, or 8.
QUESTION: Which of these numbers is even: 123, 456, 789? | ANSWER: 456, because its last digit is 6.
QUESTION: A bus has 68 seats. Can all the seats be filled by pairs of friends without anyone sitting alone? Explain why. | ANSWER: Yes, because 68 is an even number (it ends in 8), meaning it can be divided equally by 2. Each pair would take 2 seats.
MCQ
Quick Quiz
Which of the following numbers is an even number?
51
73
90
27
The Correct Answer Is:
C
The number 90 is even because its last digit is 0. Numbers ending in 0, 2, 4, 6, or 8 are even. The other numbers end in 1, 3, or 7, which makes them odd.
Real World Connection
In the Real World
When you buy things online, sometimes delivery slots are given in even or odd numbered hours. In computer programming, even and odd numbers are used to sort data, like arranging photos in albums or managing customer lists. Even numbers also help in sports like cricket, for example, when deciding if a total score can be equally divided among players for a certain task.
Key Vocabulary
Key Terms
EVEN NUMBER: A number that can be divided by 2 without any remainder. | ODD NUMBER: A number that cannot be divided by 2 without a remainder. | LAST DIGIT: The digit in the ones place of a number. | REMAINDER: The amount left over after division.
What's Next
What to Learn Next
Great job learning about even numbers! Next, you can explore 'What is an Odd Number?' This will help you understand the other type of whole numbers and how they are different from even numbers, completing your basic number sense.
