Mathematics Grade 6 15 min

Identify numbers as even or odd

Identify numbers as even or odd

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Introduction & Learning Objectives

Learning Objectives Define even and odd numbers. Identify the last digit of any given number. Classify single-digit numbers as even or odd. Classify multi-digit numbers as even or odd based on their last digit. Explain why a number is even or odd using the concept of divisibility by two. Apply the rules for even and odd numbers to solve simple classification problems. Have you ever noticed how some numbers can be perfectly split into two equal groups, while others always leave one left over? 🤔 Let's unlock the secret behind these special number types! In this lesson, you will learn to identify numbers as either even or odd. Understanding even and odd numbers is a fundamental skill that helps with number sense, divisibility rules, and even more advanced topics in mathe...
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Key Concepts & Vocabulary

TermDefinitionExample Even NumberAn even number is any integer that can be divided by 2 with no remainder. It can be split into two equal groups.10 is an even number because 10 ÷ 2 = 5 (no remainder). Other examples: 2, 4, 6, 8, 12, 200. Odd NumberAn odd number is any integer that cannot be divided by 2 with no remainder. When divided by 2, it always leaves a remainder of 1.7 is an odd number because 7 ÷ 2 = 3 with a remainder of 1. Other examples: 1, 3, 5, 9, 11, 301. DigitA digit is a single symbol used to write numbers. In the base-10 system, the digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.In the number 456, the digits are 4, 5, and 6. Last Digit (Units Digit)The last digit, also known as the units digit, is the rightmost digit of a number. It tells us the value in the ones place.In th...
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Core Formulas

Rule for Even Numbers A number is even if its last digit is 0, 2, 4, 6, or 8. Mathematically, an even number $N$ can be written as $N = 2k$, where $k$ is an integer. This rule applies to all whole numbers, regardless of how many digits they have. You only need to look at the very last digit to determine if a number is even. Rule for Odd Numbers A number is odd if its last digit is 1, 3, 5, 7, or 9. Mathematically, an odd number $N$ can be written as $N = 2k + 1$, where $k$ is an integer. Similar to even numbers, this rule works for any whole number. The last digit is the key indicator for odd numbers.

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Sample Practice Questions

Challenging
If you add any two odd numbers together, what is the nature of their sum?
A.The sum is always an even number.
B.The sum is always an odd number.
C.The sum is sometimes even and sometimes odd.
D.The sum is always a prime number.
Challenging
An even number is multiplied by any other integer (even or odd). What can you say for certain about the result?
A.The result is always odd.
B.The result is always even.
C.The result is odd if the other integer is odd.
D.The result is positive.
Challenging
The tutorial states that an odd number N can be written as N = 2k + 1, where k is an integer. What does the '+ 1' in this formula represent?
A.That the number N must be positive.
B.That the number N is one more than a prime number.
C.That the number N is always larger than k.
D.The remainder of 1 when N is divided by 2.

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