Fill in the blanks with the correct terms: 1. The sum of two even integers is always `____`. 2. The sum of an even and an odd integer is always `____`. 3. The product of two odd integers is always `____`. 4. The product of an even and an odd integer is always `____`.

Flashcard 12 of the Quantitative Reasoning Set for the CLT

Flashcard 12 Quantitative Reasoning Flashcard Set for the CLT

The sum of two even integers is always even because the sum of any two numbers divisible by \(2\) will also be divisible by \(2\).
The sum of an even and an odd integer is always odd because adding an even number (divisible by \(2\)) to an odd number (not divisible by \(2\)) results in a number that is not divisible by \(2\).
The product of two odd integers is always odd because multiplying two numbers that leave a remainder of \(1\) when divided by \(2\) will result in a product that also leaves a remainder of \(1\).
The product of an even and an odd integer is always even because multiplying any number divisible by \(2\) (even) by another number results in a product divisible by \(2\).