| The Number 32 | Prime Numbers | Odd and Even Numbers | Venn Diagrams |
Hannah, Divided
Odd and Even NumbersAny integer is either even or odd according to the following rule:
“If it is a multiple of two, it is an even number; otherwise, it is an odd number.“
Examples of even numbers are -4, 8, 0, and 42.
Examples of odd numbers are -3, 9, 1, and 5.
The set of even numbers can be written:
Evens = 2Z = {..., -6, -4, -2, 0, 2, 4, 6, ...}.
The set of odd numbers can be shown like this:
Odds = 2Z + 1 = {..., -5, -3, -1, 1, 3, 5, ...}.
A number (integer) expressed in the decimal numeral system is even or odd according to whether its last digit is even or odd. That is, if the last digit is 1, 3, 5, 7, or 9, then it's odd; otherwise it's even.
| Examples from the book | |
| Hannah counted seven suit button eleven footsteps, and five syllables in her name from bag to beret, Theodora Sweet seemed to be an odd-numbered, slant-sided sort of person. (pg 8) | Mrs. Sweet lived at 5 Delancey Place in a three story townhouse. She seemed to attract odd numbers like a magnet. (pg91) |
| Operations with Odd & Even Numbers | Addition Examples | Subtraction Examples | Multiplication Examples | ||
| The rows below show addition, subtraction, and multiplication because multiplication and division are the same in terms of odd and even. | Even + Even = Even 6+8 gives us 14 which is an even number Odd + Odd = Even Let’s choose 3 and 5 : 3+5 gives us 8 which is an even number Even + Odd = Odd 8+7 gives us 15 which is an odd number |
Even – Even = Even 24-10=14 which is an even number Odd – Odd = Even 31-17= 14 which is an even number Even – Odd = Odd 80-47= 33 which is an odd number |
Even x Even = Even 12 x 16 = 192 which is an even number Odd x Odd = Odd 13 x 11 = 143 which is an odd number Even x Odd = Even 8 x 5 = 40 which is an even number |
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| Addition | Subtraction | Multiplication | |||
| Even + Even = Even | Even – Even = Even | Even x Even = Even | |||
| Odd + Odd = Even | Odd – Odd = Even | Odd x Odd = Odd | |||
| Even + Odd = Odd | Even – Odd = Odd | Even x Odd = Even | |||