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

Rewriting fractions as decimals | Math | 4th grade | Khan Academy


2m read
·Nov 11, 2024

Let's write 29 hundreds as a decimal. So, we'll start with 29 over 100, and let's start breaking that down till we can get to place values. Because place values will help us to convert to write this as a decimal.

29 hundreds can be broken down into 20 hundreds plus 9 hundreds. 20 hundreds plus 9 more hundreds is equal to 29 hundreds. So we've just broken it down some here. It's still equivalent to 2900s; we're just taking it apart, trying to get to place values.

Going from there, we can simplify even more. 20 hundreds can be simplified; we could divide 20 and 100 by 10. So, we'll say 2 tens plus 9 hundreds. Now, if you can hear that, tenths and hundreds are place values we should recognize from decimals.

So what we've shown here is that 2900s is equal to 2 tenths plus 9 hundreds. Here we have 2 tenths, which matches 2 tenths, and 9 hundreds like our 9 hundreds right there.

We can take those and think about place value. If we have our decimal, let's first put our decimal over here. To the left of the decimal is our one's place value. We don't have any ones here, so we'll put a zero in the ones place, but then next is tenths.

Then we have our tenths, and we have 2 tenths. After the tenths is the hundreds place, and here we see we have 9 hundreds. So we'll put a 9 in the hundreds place.

So down here, 0.29, or 29 hundreds, is equivalent to the fraction 29 hundreds. Just listen to how those are said; it's kind of a clue that we did well.

29 hundreds is equivalent to 29 hundreds. Both the fraction and the decimal are read the same way, so that's a pretty good clue that we probably rewrote these correctly. So, 0.29 is equal to 29 hundreds.

Let's try one more. Let's try something. Let's say maybe 50, maybe 50 and 310. So again, we're going to break this down. We'll have 50 tenths plus how many more tenths are left? There's still 3 more tenths, and again we can simplify.

We can simplify this; 50 tenths can be divided by 10. So instead of 50 tenths, we'll say 5 ones plus we still have those 3 tenths. Now we've got this to place value.

5 ones is 5 ones plus here, 3 tenths is 3 tenths. So, thinking, let's put our decimal over here. To the left of the decimal is our ones, and we have 5 ones. To the right of the decimal is tenths, and we have 3 tenths.

So, 5.3, or 5 and 3 tenths, is equal to 53 tenths. To write 53 tenths as a decimal, we will get 5.3 because it was 5 ones and 3 tenths, which we showed right here: 5 and 3 tenths.

More Articles

View All
EXCLUSIVE: "Glowing" Sea Turtle Discovered | National Geographic
Wait, what did you find? We found a biofluorescent turtle! The scientists have only really tuned in to biofluorescence in the last 10 years, and as soon as we started tuning into it, we started to find it everywhere. First, it was in corals and jellyfish…
Perfect progressive aspect | The parts of speech | Grammar | Khan Academy
Hello, grammarians! Previously, I had covered three of the basic aspects of English, and that’s simple, perfect, and progressive. So, there’s just one more, and it’s a combination of the last two, and it’s called the perfect progressive. To recap what t…
How AirBnb will Crash the Housing Market
Here’s how Airbnb could crash the U.S. housing market. There are over 1 million properties listed on Airbnb here in the United States. In recent years, there’s been a huge trend of small investors buying single-family houses to then list on short-term re…
Westward expansion: social and cultural development | AP US History | Khan Academy
[Instructor] In other videos, we’ve discussed the causes and effects of westward expansion in the 19th century, focusing on the period that began with the discovery of gold in California in 1849 and ending shortly after the Civil War. But westward expan…
Are we in a REAL ESTATE BUBBLE?!
What’s up you guys? It’s Graham here. So first off, I want to say this is a bit of a technical video. It might be a little bit more in-depth than the other videos I’ve done, but for those that are into that sort of stuff, I think you guys are really going…
Deepfake Adult Content Is a Serious and Terrifying Issue
As of 2019, 96% of deep fakes on the internet were sexual in nature, and virtually all of those were of non-consenting women. With the release of AI tools like Dolly and Mid Journey, making these deep fakes has become easier than ever before, and the repe…