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### Course: Arithmetic>Unit 11

Lesson 4: Decimal place value intro

# Place value with decimals

Place value and decimals are related. We can begin by reviewing the concept of ones, tens, and hundreds places, and then demonstrates how tenths, hundredths, and thousandths places work. By understanding place value, we can interpret the meaning of each digit in a decimal number.

## Want to join the conversation?

• Why do decimals have an additional ths, for example tenths or hundreths?
• For place values in whole numbers, there’s a pattern. Each time we go one place to the left, we multiply the place value by 10. Therefore, reversing direction, we see that each time we go one place to the right, we divide the place value by 10.

This pattern is continued for decimals, even going to the right of the decimal point. The place just before the decimal point is the ones (units).

One divided by 10 is one-tenth, so the first place after the decimal point is tenths.

One-tenth divided by 10 is one-hundredth, so the second place after the decimal point is hundredths.

One-hundredth divided by 10 is one-thousandth, so the third place after the decimal point is thousandths.

This pattern continues forever. It’s the repeated division of a unit by 10 that creates smaller and smaller fractions ending in “ths” (with larger and larger denominators), as we go farther and farther to the right of the decimal point.

Have a blessed, wonderful day!
• How far does a decimal go?😕
• infinite. there is no limit.

Martin Luther kin
• How far out does the decimal place go?
• If I understood your question correctly, Your answer would probably be 0.999 (it keeps going) as long as it does not add up to the value of one whole (1) which would mean it is no longer a decimal but a whole number. There are three decimal places we know of which are tenths, hundredths, and thousandths. Here is a number of a example. 3.378, notice that 3 is a whole number and 378 is in the decimals place value? If we were rounding, we would round 3.378 to simply 3 because the decimals are not large enough to round up to 4, so we round down to 3. In conclusion decimals are simply a remainder that did not add up to a whole number and that 0.999 would be your greatest decimal. Also, I forgot you were to round 0.999 you would get 1 and the decimals place value would no longer be there because you got 1 whole
• i still don't understand about the thousands and thousandths .
• A thousAND is a number as 1000. It would be multiplied by 1000. Each thousand has 1000 in it. For example, 7 thousands are expressed as 7000, as 7 x 1000 = 7000.
a thousANDTH is a number as 0.001. It would be multiplied by 0.001. For example, 7 thousandths would be 0.007, because 0.001 x 7 = 0.007.
Hope this helps, any questions let me know.
Have a wonderful day! ^-^
• How far out does the decimal go?
• There is no limit to how far the decimal can go.
• Wait so whats the different's of thousands and thousandths??
• thousands come before the .
thousandths come after the .
• what does the tens means and ones and what the answer to PIE
• 3.14159 this is PI followd by
• I still seriously have no idea about the difference between Thousands and thousandths, Tens and tenths, etc.
• Any place value ending in "th" represents a fraction.
Those without the "th" ending represent whole numbers.
2 tens = 20
2 tenths = 2/10 or 0.2
If you have \$20 (2 tens) you have a lot more money than if you have \$0.20 (2 tenth = 2 dimes)

3 thousands = 3000
3 thousanths = 3/1000 or 0.003

Hope this helps.
• does place value with decimals actually have questions that we can answer
• Yes, say im a year late, but i want to see if you know this-

2.726 divided by 2
And try to come up with a problem that has a decimal as a remainder.

You don't have to though...