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1. The sum of any two even numbers is an even number. 2. If a number with three or more digits is divisible by 4, then the number formed by the last two digits of the number is divisible by 4. 3. The product of an odd integer and an even integer is always an even number. 4. The cube of an odd integer is always an odd number.

1. The sum of any two even numbers is an even number. 2. If a number with three or more digits is divisible by 4, then the number formed by the last two digits of the number is divisible by 4. 3. The product of an odd integer and an even integer is always an even number. 4. The cube of an odd integer is always an odd number.

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 36SE: The number of 5-element subsets from a set containing n elements is equal to the number of 6-element...
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1. The sum of any two even numbers is an even number. 2. If a number with three or more digits is divisible by 4, then the number formed by the last two digits of the number is divisible by 4. 3. The product of an odd integer and an even integer is always an even number. _ 4. The cube of an odd integer is always an odd number. 5. Pick any counting number. Multiply the number by 6. Add 8 to the product. Divide the sum by 2. Subtract 4 from the quotient. The resulting number is twice the original number.
Transcribed Image Text:1. The sum of any two even numbers is an even number. 2. If a number with three or more digits is divisible by 4, then the number formed by the last two digits of the number is divisible by 4. 3. The product of an odd integer and an even integer is always an even number. _ 4. The cube of an odd integer is always an odd number. 5. Pick any counting number. Multiply the number by 6. Add 8 to the product. Divide the sum by 2. Subtract 4 from the quotient. The resulting number is twice the original number.
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