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### Course: 4th grade (Eureka Math/EngageNY)>Unit 6

Lesson 1: Topic A: Exploration of tenths

# Decimals as words

Sal writes 0.17  and 40.03 in words.  He also writes twenty-four hundredths using numbers.

## Want to join the conversation?

• What is the last place in decimal ?
• Ten thousandth.
• Is there such thing as millionths?
• Yup, there is such a thing. Like 190,000.123456
• Why isn't there a ones place in the decimal area?
• The decimal place values represent fractions. Any fraction with a denominator = 1 would still be a whole number.
5/1 = 5. 5 is a whole number so it is on the left of the decimal point.
Hope this helps.
• is there such thing as billionths?
• Yes, there are billionths!

0.1 = one tenth
0.01 = one hundredth
0.001 = one thousandth
0.0001 = one ten-thousandth
0.00001 = one hundred-thousandth
0.000001 = one millionth
...etc...
0.000000001 = one billionth

You could also write one billionth as a fraction, with one billion in the denominator:

1/1,000,000,000

Think of it like this: if you have 10 in the denominator, you have "tenths" and if you have 1000 in the denominator, you have "thousandths"

So in the same way, if you have 1,000,000,000 in the denominator, you have "billionths"

Hope this helps!
• I wonder... are there quadrillionths?
• For decimals, the quadrillionths place is the 15th position after the decimal point.
• is there such a thing as septillionths
• Yes, a septillionth exists and is equal to 1/1,000,000,000,000,000,000,000,000.
As a decimal, this is 0.000000000000000000000001.
In scientific notation (which you will learn about later), this is 10^(-24), meaning 10 to the -24 power.
• where are the onthes at
• It's impossible to have a oneths place because any number divided by 1 is just itself. It would still be a whole number.
• wait is there such a thing as sxadilionths
• Good question! I assume you mean sextillionths.

Yes, sextillionths exist. One sextillionth is the decimal point followed by twenty 0’s followed by a 1.