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

Comparing decimals example


2m read
·Nov 10, 2024

So we have four numbers listed here. What I would like you to do is get out some pencil and paper and pause this video. See if you can order these numbers from least to greatest. So the least would be at the left and then keep going greater and greater until you get to the greatest number.

So pause the video and have a go with that.

All right, now let's tackle this together. The way that I like to do it is I start at the, I guess you could say the most significant place value or the largest place value, compare the numbers, and then keep moving to the right to smaller and smaller place values.

So we can start in the ones place. This number has zero ones, this number has zero ones, this number has zero ones, and that number has zero ones. So the ones place really doesn't help us much. But then we can move to the tenths place. This number has seven tenths, this number has zero tenths, so just from that we know that the second number is less than the first number.

This has seven tenths, this has a zero tenths. It doesn't matter what's happening in the places after that to the right of that. This number over here also has seven tenths, just like the first number, and this last number also has seven tenths. So we know from comparing the ones and then the tenths place is that this number right over here is the smallest of the four numbers. They all have zero ones, but this one also has zero tenths.

So I'll list that here: zero point zero seven four. Now let's move to the hundredths place. This number has zero hundredths; we've already used this number. This number has seven hundredths, and then this number, it might not be obvious, but the hundredths place you can view as being a zero. The hundredths place, you could just put a zero there and not change the value, so this also has zero hundredths.

So these three numbers—same ones, same tenths—but this number, zero point seven seven, has seven hundredths while the other two had zero hundredths. So this is going to be the largest of our four numbers. This is larger than these other two because of what we see in the hundredths place. It doesn't matter what's happening in the thousandths place or anything beyond that, so we put the zero point seven seven right there.

Now we are tasked—and we've used this number—and now we have to compare these two numbers which were equal in the ones, tenths, and hundredths place. So we have to go to the thousandths place. This number has seven thousandths; this number has zero thousandths, so this number is smaller than this first number here.

So I'll write this next: zero point seven and then the third smallest or the next largest number is this one over here: zero point seven zero seven. And we're done.

So the main idea is you want to compare the most significant place values, the largest place values first, and then based on that keep moving to the right to compare less and less significant place values.

More Articles

View All
How Confidence Is Holding You Back
Hello Alexa, welcome back. Let’s be real here for a moment. Everything that is worth doing and everything that is worth getting needs a healthy dose of something that today’s society doesn’t really have anymore. And that thing is courage. The courage to …
The real cost of owning a car | Car buying | Financial Literacy | Khan Academy
So let’s think about all of the costs that are involved in buying the car. The first and most obvious one is the cost of the car itself. Now, it’s really important to think about what the actual cost of the car is, because you might say, “Okay, there’s Ca…
The FED Just Crashed The Market | DO THIS NOW
What’s up, guys? It’s Graham here, and, uh, welp, things got worse for anybody looking at their portfolio wondering why they can’t seem to make it green. Unfortunately, turning it off and on again isn’t going to work because inflation just came in signifi…
Bill Belichick & Ray Dalio on Identifying and Addressing Mistakes: Part 1
Bill, what you do? You have a game Sunday, and you come and you look at the videos, and you look at the mistakes made, and you analyze the mistakes made and how to get better, right? Yes, we do an assessment after every game. We do an assessment after ea…
The reason I built the worlds first private jet showroom!
The reason I built the first and only Aviation showroom in the world is because nobody else has. I had to be different. Everybody in our industry today lives off a mobile phone and a laptop; that’s a business, that’s their office. To me, it just doesn’t s…
International Human Rights | 1450 - Present | World History | Khan Academy
We hold these truths to be self-evident, that all men are created equal, that they are endowed by their creator with certain unalienable rights, that among these are life, liberty, and the pursuit of happiness. This is an excerpt of the US Declaration of …