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### Course: 5th grade>Unit 1

Lesson 2: Decimals on the number line

# Thousandths on the number line

We can find the value of a point on a number line that falls between two known values, in this case 0.03 and 0.04. It is important to understand place value, specifically the tenths, hundredths, and thousandths places. By dividing the space between the two known values into ten equal segments, it shows that the point is located at 0.038 (or 38 thousandths).

## Want to join the conversation?

• I don't get where he gets the thousandths from? can someone help me understand?
(19 votes)
• On this number line, each hundredth (segment of length 0.01) is divided into 10 equal parts.

So each part is 1/10 of 1/100 = 1/10 * 1/100 = (1 * 1)/(10 * 100) = 1/1000.

Have a blessed, wonderful day!
(28 votes)
• Didn't really understand ... Can someone explain it to me?
(30 votes)
• So you would write this out as:
0.03
+0.008
_____
8 thousandths plus nothing equals 8 thousandths, 0 plus 3 hundredths is 3 hundredths, and the rest is figured out easily, so you'd have 0.038.
HOPE YOU FOUND THIS HELPFUL!
(51 votes)
• I don't understand the part at .
(18 votes)
• Hi Elise!
The 0.02, 0.03, and 0.04 are all hundredths. on the number line, each smaller mark represents one thousandth, or 0.001 since there are 10 marks in between each hundredth. He is showing that there. Hope that helped!
(2 votes)
• So this is how I explain it: Example what is the 3 value in 0.300. The answer is .300 or if you want a easier problem like 3 in 3,000.49 where is the 3? The value is 3,000
(11 votes)
• is it me or does this video sound like it is speed 1.25
(6 votes)
• you could make the speed slower by going to settings and click playback speed.
(4 votes)
• Could somewhat reiterate what this all means?
(5 votes)
• I can give you some information, 0.3 is equal to 0.30 so he added 0.008 to it. that's how he got 0.038. The 0.001 explains one spot from 0.3 to 0.4 if you know how to compare fractions on a number line it'll be a bit easier. I hope this helps!
(4 votes)
• I dont understand .. can someone explain it to me?
(3 votes)
• hey guys this is a direct mesage to khan acadmy that why progress never updats so the company of khan acadmy pls respond
(3 votes)
• I do not understand this part: ?
Why is a number lesser than a hundredth a thousandth?
(3 votes)
• (this is what i understood, Basically I simplified it..? correct me if wrong)

"whats the value of the point graphed on the numberline??"

Its between 0.03, and 0.04.

0.03 is .300ths and 0.04 is .400ths

the space between them are in 10 equal spaces.

The whole thing is a hundredth so its equal to 0.01, so each tenth is gonna be a thousadth. (0.001)

(The ONE is in the thousandths place) so how many thousandths do we need to get to the value?

You start at 0.03 and add 0.008 to get this value.

so if you add them together you would get 0.038. So the point over there is 0.038.
(3 votes)

## Video transcript

- [Instructor] We're asked what is the value of the point graphed on the number line and this is the point right over here, so pause this video and see if you can figure that out before we figure it out together. All right so let's try to figure it out together now. So let's see this point is between this is going to be this is the tenths place this is the hundredths place so this over here is three hundredths and this over here is four hundredths. So our point is between three hundredths and four hundredths and the space between three hundredths and four hundredths is divided into ten equal spaces. So if this whole thing is a hundredth, so this whole thing is equal to 0.01 the difference between that, that's a hundredth so then each tenth of that is going to be a thousandth. So let me, I don't want to make this too messy so this right over here will be one tenth of a hundredth which is going to be a thousandth, so it's going to be 0.001 we have a one in the thousandths place. So one way to think about it, this number is going to be 0.03 so we have our three hundredths but then let's see how many thousandths we have to add to it to get to this value right over here. We have to add one thousandth, two thousandths, three thousandths, four thousandths, five thousandths, six thousandths, seven thousandths, and eight thousandths. So we're starting at three hundredths and then we are adding eight thousandths so you add 0.008 to get to this value. So if you were to add these two together you're going to have three hundredths and then the next place over is the thousandths place and we have eight of them. So this point right over here is 0.038 or you could do this as 38 thousandths because three hundredths is 30 thousandths, so any way you want to view it, this is the value of the point graphed on the number line 0.038.