yego.me
💡 Stop wasting time. Read Youtube instead of watch. Download Chrome Extension

Examples thinking about multiplying even and odd numbers


2m read
·Nov 10, 2024

We are told Liam multiplies two numbers and gets an even product. What could be true about the numbers Liam multiplied? It says choose two answers, so pause this video and see if you can figure out which two of these could be true.

All right, now let's do this together. We have to think about what could be true. They don't have to be true; that just has to be possible.

Okay, now is it possible that both numbers were even? Can you multiply two even numbers and get an even product? Well, sure! I can imagine examples that get us there. If you multiply 2 times 4, which is equal to 8, you have an even times an even that gets you an even. In fact, in general, when you multiply two evens together, you will get an even product. So this is definitely could be true.

Both numbers were odd. You might remember that an odd times an odd is always going to be an odd. Or you could look at a few examples and feel pretty confident that's the case. If you multiply 3 times 5, that's equal to 15. Odd times odd is equal to an odd number. If you multiply 7 times 9, you get 63. Once again, odd times odd is equal to odd. So there's no way that you can multiply two odd numbers and get an even product; so we would rule this out.

One number was even and one number was odd. Well, let's think about what happens when you multiply an even times an odd. If I multiply 2 times 3, that's equal to 6. So you have an even (I'll just put an "e" there) times an odd, which is equal to an even. The two ways that you can get an even product is either if you're multiplying an even times an even or an even times an odd. Essentially, an even times either an even or an odd is going to get you an even product.

Let's do another example. We're asked which of the following have an even product? It says once again choose two answers, so pause this video again and see if you can figure it out.

Okay, eight fives. So eight fives is the same thing as eight times five, and this is a situation where we're multiplying an even (e for even) times an odd, which we've already talked about is going to give us an even result. An even product! You don't even have to know that 8 times 5 is 40, which is an even number. We have an even times an odd, which is going to give us an even product. So this will definitely give us an even product.

An odd number times an even number? Well, we've already talked about that. Either an odd or an even times an even is going to give you an even product, so we can fill that one in.

Then, 5 times 3, you have an odd times an odd, which is going to give you an odd number. Even if you didn't know that this is going to be 15, you would know that an odd times an odd is always going to give you an odd product, not an even product.

So we would pick these first two.

More Articles

View All
Escape Opportunity | No Man Left Behind
We pulled off on the side of the road. Car stopped, but the engine was still running. D gets out of the car. Bonitas gets out of the car. “You okay?” They’re trying to decide whether they want to shoot us in the car or out of the car. I got to kill us. I’…
Fix These Problems If You Want To Be Rich
Everybody’s got a billion dollar idea in their head; they just don’t think it’s good enough to act on it. But know this: if you don’t do it, somebody else will. So why not take the risk? The people on this list, they did it and they made billions because …
This Is What Happens to Your Brain on Opioids | Short Film Showcase
This is Susan. Susan loves to bike. While out for a ride, she falls and breaks her arm. Special cells called neurons send a signal through the spinal cord to the brain, which interprets the signal as pain. Susan understands the pain means she needs to go…
ALUX AWARDS 2023
This is the best of ALUX. It’s like our own little award season where we look back through the year together and look at the highlights. As you would expect, we’ve got 15 categories to go through. We all talk about our favorite ALUX videos, about the bigg…
Can You Recover Sound From Images?
This video was filmed without sound. Is it possible to use only these images to reconstruct the sound? That is, can you hear pictures? In this video, I’m gonna try to demonstrate that it’s possible to get sound from pictures, but it’s not gonna be easy, s…
We're in DEFLATION for the first time in 22 years.
Well everybody, we are in deflation. This is the first time that Australia has been in deflation in literally 23 years. So check this out, this article reads consumer prices in Australia dropped by 0.3 percent year on year in Q2 2020. This was the first d…