Step-by-step explanation:
With multiplication, there are a few handy rules to remember:
If you multiply an even and an even, the answer will be even!
If you multiply an odd and an odd, the answer will be odd!
If you multiply an even and an odd, the answer will be even!
Knowing this, if we go back and look at the numbers Evan is trying to multiply, we can try to use these rules!
The last number of that really big number is a 7, which is odd, and the number 2 is even, and because we know that an odd number times an even number is an even number, Evan will be right!
the answer is 5p ...............
The first claim,
"If 2<em>n</em> + 4 is even, then <em>n</em> is even"
is false; as a counterexample, consider <em>n</em> = 1, which is odd, yet 2•1 + 4 = 6 is even.
The second claim,
"If <em>n</em> is even, then (<em>n</em> + 3)² is odd"
is true. This is because
(<em>n</em> + 3)² = <em>n</em> ² + 6<em>n</em> + 9
<em>n</em> ² + 6<em>n</em> is even because <em>n</em> is even. 9 is odd. The sum of an even and odd integer is odd.
