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

Compare decimals word problems


3m read
·Nov 11, 2024

Al is comparing two recipes for homemade bread. The recipe for white bread calls for 4/10 of a kilogram of flour. The recipe for whole wheat bread calls for 0.385 kilograms of flour.

Which bread takes less flour?

So, the white bread calls for 4/10 of a kilogram, while the recipe for whole wheat bread calls for 0.385 kilograms or 385,000 of a kilogram. Now, the way I wrote it is important. You always want to line up the decimals when you are comparing because you want to compare numbers in the same place value.

This is an interesting example of even though the number down here has more digits, it doesn't mean that it's necessarily a larger number. What we want to do when we compare numbers—and this is true whether we're dealing with decimals or not—is we start in the largest place value. We start in the ones place; both of these have zero ones.

Then we go one place value down; we go to the tenths place. The white bread requires 4/10 of a kilogram of flour, while in the whole wheat bread, we only have 3/10 of a kilogram of flour. So we can stop right there. This has more tenths than this does. It doesn't matter that this has more hundreds and thousands; those are less significant. They don't add up to as much as what we're dealing with when we look just at the tenths place.

So, because four is greater than three and we're in the tenths place, we know that white bread takes more flour. We have to be very careful; they said which bread takes less flour. So, it's going to be whole wheat bread. Three is less than four.

Let's do another one of these. A group of fifth graders kept track of the number of hours they spent working on their science project. All right, put the students in order from the least to greatest amount of time spent. The student with the least amount of time should be at the top of the list.

So pause this video and see if you can do this. This is actually a screenshot from the Khan Academy exercise. If you're doing the Khan Academy exercise, you would actually be able to click on these and move them around. But let's compare them.

So, as I mentioned in the last example, when you're comparing numbers, it's good to line up the place values. So let's do that. Adam is 5.5, Aiv is 5, and Jenny is 5.17.

So once again, start at the largest place value; start at the ones. They all have exactly five ones. So then we move to the next place value. In this case, we're going to go to the tenths place.

So when we look at the tenths place, interesting things are going on. Aiv has no tenths; it's blank here. But you could view this as 5.0. So, Aiv has the fewest tenths. Then comes Jenny with only 1/10, and then Adam has 5/10. So that tells us enough, so we can order the three. We don't even have to look at the hundredths place because the tenths here are different.

So the least number of tenths is Aiv, so that's going to be Aiv is the least. They all have the same number of ones, but Aiv has the least tenths. Then comes Jenny.

Once again, they all have the same number of ones, but then Jenny has less tenths than Adam, and then comes Adam. Adam has the most; Adam has the most tenths. It doesn't matter that Jenny also has 7 hundredths. Notice you could view this as 17 hundredths, which is going to be less than 5/10, which could also be viewed as 50 hundredths.

So, the general way to think about it: start at the most significant, the largest place value. Compare. If things are equal, go to the next place value. When things are different, then you have enough information to start ordering them.

More Articles

View All
It Started: Japan Just Broke The US Stock Market
Is America heading towards the recession? The Dow’s down more than 1,000 points as that global selloff intensifies overnight. Japan’s Nikkei plunged 12%; that is its worst day since 1987. Seems like a recession cannot be ruled out just yet. What’s up, yo…
Have you LOST Your Self-Confidence? 6 POWERFUL TIPS | STOICISM
[Music] Believing in yourself is more than just a feeling; it’s a special skill, a deep way of thinking about life. One clear fact about learning about yourself is this: how much you achieve depends a lot on how confident you are in yourself. Not believin…
How Do You Make a Skateboard Out of Trash? | Short Film Showcase
My name is Mac Primo. I’m an artist, director, stuff maker. I was contacted by the World Wildlife Fund; it’s here for Earth Hour. They asked 15 artists from around the world to take stuff that already exists, repurpose it, give it a new life. That’s prett…
The Second Inflation Wave is Coming... (Michael Burry's Big Bet for 2024)
Well, you might have seen recently that Michael Barry is back in the news, and that is because he has just released his latest 13F filing, giving us a peek behind the curtain as to what he’s doing with his own stock portfolio. While Michael Barry definite…
15 Steps To Completely Disappear from Society
There’s a difference between putting your life on airplane mode and leaving your entire life behind in search of a new one. Some people simply can’t settle for a cookie-cutter life; to them, it’s either freedom or nothing. What if you could simply quit yo…
Gel electrophoresis | Biomolecules | MCAT | Khan Academy
Let’s say that you have some vials here, and you know that in the solution you have fragments of DNA in each of these. What you’re curious about is, well, what about the DNA fragments in this first vial, in vial number one? How long are those fragments? H…