If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains ***.kastatic.org** and ***.kasandbox.org** are unblocked.

Main content

Current time:0:00Total duration:3:29

CCSS.Math:

let's compare the number zero point seven two the number zero point zero nine and there's a bunch of ways to do this but the way that I'm going to tackle it is I'm going to start looking at each of the digits starting with the leftmost digit and so we can start right over here in the ones place and you always want to compare ones place to ones place so for example if we compare these two numbers they both have zero ones so the ones place doesn't tell us much so now let's go one place value to the right let's go to the tenths place this number has seven tenths well this number has zero tenths that by itself tells us that this is the larger number we put an inequality symbol right over here we want to open it up to the larger number or it points to the smaller number so this says zero point seven is greater than zero point zero nine now you might be tempted to say oh wait wait look but if we went one more digit to the right you have nine hundredths here and you have no hundredths over here we could write a zero or over here and you say oh look you have no hundredths over here but the nine hundredths don't matter remember even if you had ten hundredths that's the same thing as 1/10 so it doesn't matter that 9 is somehow greater than 7 what matters is in a place to the right even if you increased by another hundredth year you'd only get to 1/10 this thing over here has seven tenths let's do another one of these let's say let's say we wanted to compare let's say we wanted to compare zero point zero point two nine and I want to compare let's say I want to compare that to zero point three one now this one you might say is a little bit more straightforward depending on how you think about it if you say hey this is twenty nine hundredths this is 31 hundredths --we have more hundredths on the right-hand side so let me open my inequality to the larger value I would say zero point two nine or twenty nine hundredths is less than 31 hundredths another way you could have done this is you could have looked in the ones place say okay they both zero-one's but then you look in the tenths place say this only has two tenths while this has three tenths I actually don't have to keep looking at the digits to the right of that I can just compare this two tenths to the three tenths three tenths is larger and so I would say that twenty nine hundredths is less than thirty one hundredths let's do one more just just just for fun let's compare let's compare zero point zero point six two out of the same color 0.06 which of these is the larger number well we do the same thing that we've been doing you can first go to the ones place say okay this has no ones this has no ones okay that doesn't tell us much then the tenths place this says six tenths this has zero tenths so this number is going to be larger has more temps it doesn't matter who has more hundreds hundreds are much smaller than tenths they're tenth the size of the tenth so this has six tenths this is zero tenths so this number is larger zero point six is greater than zero point zero six it's actually ten times greater but we could talk about that in other videos