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

Rounding decimals to the hundredths on the number line | Grade 5 (TX TEKS) | Khan Academy


2m read
·Nov 10, 2024

We are told point A is graphed on the number line below. We see that right over there. What is A rounded to the nearest hundredth? Pause this video and see if you can figure that out before we do it together.

All right, so let's just think about the candidates. Which hundredths could we round to? So if we're thinking about place value, A right over here is 2.483. So this is the one's place, this is the tenth place, this is the hundredth place right over here.

So we could round down to 2.48, which is right over here, or we might want to round up to increase our hundredths to 2.49 over there. Now we don't want to just round to any hundredth; we want to round to the nearest hundredth.

So my question to you is: which hundredth is A closer to? Is it closer to 2.48 or is it closer to 2.49? Well, it's pretty clear that it's closer to 2.48. So this is the nearest hundredth; this is what we would round to. We would round down to 2.48.

Now, some of you might be wondering: what if you were exactly in between those two hundredths? What if you were right over here? Well, the rule that mathematicians have come up with is if you're exactly halfway between those two points, you should round up. But that's not the scenario that we saw in this question, so A is clearly closer to 2.48.

Let's do another example. So here they say three points are graphed on the number line: points A, B, and C. If rounding to the nearest tenth, which point rounds to 5.5? So pause the video again and see if you can figure that out.

All right, so let's just think about the tenths that these dots or these points are between. At the high end, we have 5.5. Remember, if I have a number like 5.5 something something something, this right over here is the tenth place.

So all of these are between 5.5 and 5.4, so they're going to either round down to 5.4 or they're going to round up to 5.5. Well, let's just use the same reasoning we just used. Point C, where does that round to? Well, it's much closer to 5.5 than 5.4. You can just see that by looking at it, so C is going to round to 5.5.

What about Point B? Well, Point B, when you just eyeball it, it's a little bit hard to tell until you realize that this is the halfway point: 5.45 is a halfway point. Point B is not quite there, so this will round down to 5.40, and Point A is clearly even closer to 5.40, so it will round down as well.

So if rounding to the nearest tenth, which point rounds to 5.5? Well, we see that is Point C.

More Articles

View All
How to Get Rich
Hey, this is Nivi. You’re listening to the Navall Podcast. This is one giant mega sowed that collects every episode we’ve done on getting rich. All of it is based on his tweet storm of how to get rich without getting lucky. I’ve collected them all here be…
Emotional Manipulation: A Masked Reality
Manipulation is everywhere. The social influence aimed at changing the behavior or belief of a person through emotional coercion. Emotional manipulation has always been prevalent in human interaction. It’s in all of our relationships. Companies use it on …
Your Hidden Superpower
We’ve heard rumors of a chosen one. A special birb who has the power to illuminate the vast darkness of the universe, uncovering the great mysteries of the world. We are all born with this power. But only a few are able to master it. We use the same powe…
15 Things That Make Life Worth Living
Nobody can buy a home these days. The rich keep getting richer and the poor poorer. World War Three is buffering on the horizon while the ice caps are melting, and everyone you ask tells you how they just want to get through this week because they’re hold…
Introduction to factoring higher degree polynomials | Algebra 2 | Khan Academy
When we first learned algebra together, we started factoring polynomials, especially quadratics. We recognized that an expression like ( x^2 ) could be written as ( x \times x ). We also recognized that a polynomial like ( 3x^2 + 4x ) had the common facto…
Monarch Butterflies Get Tiny Radio Trackers | Expedition Raw
[Music] He’s like a little kid. It’s wonderful. We’re trying to put the first electronic tag on a free flying migrating monarch butterfly. If that works, then we could for the first time really follow them in the wild, how they migrate, and find out exact…