posted by Bailey

Use the Distributive Property to prove each statement. Hint: you can write an even number as 2n and odd number as 2n + 1, where n represents any whole number.

A. The sum of two even numbers is even.
B. The sum of two odd numbers is even.
C. The sum of an odd number and an even number is odd.

  1. Bailey

    A is 4+6= 10
    B is 5+3= 8
    C is 5+6= 11
    Please check my work

  2. PsyDAG

    Those are specific examples. They want a general rule.

    2n + 2n = 4n

    (2n+1) + (2n+1) = ?

    (2n+1) + 2n = ?

Respond to this Question

First Name

Your Answer

Similar Questions

  1. discrete math

    prove that if n is an integer and 3n+2 is even, then n is even using a)a proof by contraposition b)a proof by contradiction I'll try part b, you'll have to refresh me on what contraposition means here. Here is the claim we start with …
  2. math

    What are the divisibility short cuts that help you out?
  3. Statistics

    a roulette wheel has 40 slots evenly divided between red (even) and green (odd) slots totaling 38 and a "0" and a "00". what is the probability of the ball landing in an: A)even number < 10 B) other than an even or odd number C) …
  4. Math

    If a and b are positive odd integers, then prove that one of (a+b)/2 and (a-b)/2 are even or odd number. I mean in the above numbers one is odd and one is an even number.
  5. Math Proof

    Prove that square root of 12 is irrational. **I don't know if I did this correctly PF: By contrapositive, assume sqrt(12) is rational. Then there exist an a,b as integers such that a/b is written in the lowest terms, and sqrt(12)=a/b. …
  6. Geometry

    the sum of two whole numbers is an even number. one of the numbers is even. can a deduction be made about the other number?
  7. Math! Please check!

    Consider the statement: If two whole numbers are even, then their sum is odd. What assumption should be made to prove the statement indirectly?
  8. Math

    There are two integers from 1 through 40 and are chosen by a random number generator. Write the final answer in a/b form. 1.) P(the same number is chosen twice) 2.) P(both numbers are less than 30) 3.) P(one number is even and one …
  9. math

    in lotto draw balls 1-50 mixed together. machine randomly selects numbers 13,11,7,27,41. is the 6th number drown A. more like to be odd than even b. more likely to be even than odd c. equally likely i could not decide, as long as there …
  10. Math

    1: Goldbach's Conjecture is a famous conjecture that has never been proven true or false. The conjecture states that every even number, except 2, can be written as the sum of two prime numbers. For example, 16 can be written as 5+11. …

More Similar Questions