Chapterr 9 Odds And Evens Rules To Know

Question 1

Multiplication:

For a product to be even, at least one of the factors must be even.

Answer 1

For a product to be even, at least one of the factors must be even.

4*6=24 (even times even equals even)

6*5=30 (even times odd equals even)

3*8=24

457*11=1,540 (even…equals even)

4^3=64

3^3=27 (odd only equals odd)

Question 2

If x and y are integers and 3x + 2y is even then…

A) x is even

B) x is odd

C) XY is even

D) x+y is even

E) x squared is odd

Answer 2

Strategy= look at each term separately!

• don’t know whether 3x is odd or even
• 2y will always be even because it had 2 as a factor!

-Even+even=even
(3x must be even!)
(For 3x to be even it has to have an even factor)

-x must be even since 3 isn’t

A&C are the correct answers!!!!!!!

Question 3

Odd +/- odd =

3+5= odd or even?

Answer 3

Even

In addition or subtraction, the result will be even if the numbers being added or subtracted are the same (both odd or both even), and the result will be odd if the numbers being added or subtracted are different (one odd and one even)

Question 4

Even +/- even =

4+10= odd or even

Answer 4

Even

In addition or subtraction, the result will be even if the numbers being added or subtracted are the same (both odd or both even), and the result will be odd if the numbers being added or subtracted are different (one odd and one even)

Question 5

Even +/- odd =

8-3= odd or even

Answer 5

Odd

In addition or subtraction, the result will be even if the numbers being added or subtracted are the same (both odd or both even), and the result will be odd if the numbers being added or subtracted are different (one odd and one even)

Question 6

Odd +/- even =

5+8= odd or even?

Answer 6

Odd

In addition or subtraction, the result will be even if the numbers being added or subtracted are the same (both odd or both even), and the result will be odd if the numbers being added or subtracted are different (one odd and one even)

Question 7

Even x even =

4x6 = odd or even

Answer 7

Even

For a product to be even, at least one of the factors must be even.

Question 8

Even x odd =

6x5 = odd or even

Answer 8

Even

For a product to be even, at least one of the factors must be even.

Question 9

Odd x even =

3x8 = odd or even

Answer 9

Even

For a product to be even, at least one of the factors must be even.

Question 10

Odd x odd =

7x5 = odd or even

Answer 10

Odd

For a product to be even, at least one of the factors must be even.

Question 11

Even x … =

4x5x7x11= even or odd number?

Answer 11

Even

For a product to be even, at least one of the factors must be even.

Question 12

(Even)^x =

4^3= even or odd number?

Answer 12

Even

For a product to be even, at least one of the factors must be even.

Question 13

(Odd)^x =

3^3= odd or even number?

Answer 13

Odd

For a product to be even, at least one of the factors must be even.

Question 14

Addition and subtraction

Property 1:

In addition and subtraction, the result will be even if the numbers being added or subtracted are the same (both odd or both even), and the result will be odd if the numbers being added or subtracted are different (one odd and one even.

Answer 14

3+5= 8

4+10= 14

8-3=5

5+8= 13