Question

Make and test a conjecture about the given quantity
*the product of any two even integers

Answer 1

Answer:

The product of two even integers is always even.

1st integer: 2

2nd integer: 4

$2*4=8$

1st integer: 6

2nd integer: 8

$6*8=48$

Both of them are even! Now find a way to prove me wrong!

Hope this helps!

Answer 2

Given:

Conjecture: The product of two even integers is always even.

To Find:

Verifying the conjecture.

Solution:

The product of two even numbers is even. Let m and n be any integers so that 2m and 2k are two even numbers. The product is 2m(2k) = 2(2mk), which is even.

Let the two even integers be x1 and x2.

Let x1 = 2

Let x2 = 6

Therefore, the product of x1 and x2 is

x1 * x2 = 2 * 6

= 12

The product is even since it is divisible by 2.

Hence verified.

#SPJ3