Mathematics
Grade 6
15 min
Even or odd
Even or odd
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Introduction & Learning Objectives
Learning Objectives
Define even and odd numbers.
Identify whether any given whole number is even or odd.
Explain the rule for determining even or odd based on the unit digit.
Predict whether the sum or difference of two numbers will be even or odd without calculating.
Predict whether the product of two numbers will be even or odd without calculating.
Apply even/odd concepts to solve simple real-world problems.
Have you ever wondered why some numbers can be split perfectly into two equal groups, while others always leave one left over? 🤔 Let's explore the secret lives of numbers!
In this lesson, you'll learn to distinguish between even and odd numbers, understand their unique properties, and discover how these simple ideas help us understand patterns in mathematic...
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Key Concepts & Vocabulary
TermDefinitionExample
Even NumberA whole number that can be divided into two equal groups with no remainder, or a number that is a multiple of 2. Its unit digit is always 0, 2, 4, 6, or 8.8 is an even number because 8 ÷ 2 = 4 with no remainder, and its unit digit is 8.
Odd NumberA whole number that cannot be divided into two equal groups without a remainder; when divided by 2, it always leaves a remainder of 1. Its unit digit is always 1, 3, 5, 7, or 9.7 is an odd number because 7 ÷ 2 = 3 with a remainder of 1, and its unit digit is 7.
Unit Digit (Ones Place)The digit in the rightmost position of a whole number. This digit is the key to quickly determining if a number is even or odd.In the number 345, the unit digit is 5. In 1,200, the unit digit is 0.
DivisibilityThe ability of one numbe...
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Core Formulas
Even/Odd Unit Digit Rule
A whole number is even if its unit digit is 0, 2, 4, 6, or 8. A whole number is odd if its unit digit is 1, 3, 5, 7, or 9.
This rule is the quickest way to determine if any whole number, no matter how large, is even or odd. You only need to look at the very last digit.
Addition and Subtraction of Even and Odd Numbers
$Even + Even = Even$
$Odd + Odd = Even$
$Even + Odd = Odd$
$Odd + Even = Odd$
These rules help you predict if the sum or difference of two numbers will be even or odd without actually performing the full calculation. The same rules apply for subtraction.
Multiplication of Even and Odd Numbers
$Even \times Even = Even$
$Odd \times Odd = Odd$
$Even \times Odd = Even$
$Odd \times Even = Even$
These rules tell you if the product of t...
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Challenging
The sum of an even number and another number 'x' is odd. What must be true about the number 'x'?
A.'x' must be zero.
B.'x' must be an odd number.
C.'x' must be an even number.
D.'x' can be either even or odd.
Challenging
Let O represent any odd number and E represent any even number. Which of the following expressions will ALWAYS result in an odd number?
A.(O × O) + E
B.O + O + E
C.(O + E) × E
D.E × O + E
Challenging
If 'a' is an odd integer and 'b' is an even integer, which of the following expressions represents an even integer?
A.a + b + 2
B.2a + b
C.a × b + 3
D.a - b
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