Decimal in the thousandths place
0.107 in Words
0.107 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.107 in words is zero point one zero seven.
0.107 Place-Value Breakdown
The decimal digits place 1 in the tenth place, 0 in the hundredth place, and 7 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 1 | tenth | 1/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 7 | thousandth | 7/1000 |
What Kind of Decimal Is 0.107?
0.107 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.107
0.107 = 1/10 + 7/1000
0.107 = 0 + 107/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 107/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 107/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
0.107 as a Percentage
To convert 0.107 to a percentage, multiply it by 100.
0.107 × 100 = 10.7
Therefore, 0.107 = 10.7%.
Decimals Equivalent to 0.107
0.107 = 0.1070 = 0.10700
Adding zeros to the right of a decimal does not change its numerical value. It does change the number of written decimal places and may communicate different precision.
| Decimal | Final place | Exact fraction | Simplified value |
|---|---|---|---|
| 0.107 | thousandths | 107/1000 | 107/1000 |
| 0.1070 | ten-thousandths | 1070/10000 | 107/1000 |
| 0.10700 | hundred-thousandths | 10700/100000 | 107/1000 |
Visual Model of 0.107
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.107 on a Number Line
0.107 lies between 0.106 and 0.108. It is 0.893 below 1 and 0.107 above 0.
On a number line from 0 to 1, it appears 10.7% of the way from 0 to 1.
How Far Is 0.107 from 1?
1 − 0.107 = 0.893
1 − 107/1000 = 893/1000
0.107 is eight hundred ninety-three thousandths below 1. The remaining part is 893/1000 = 893/1000 = 89.3%.
0.107 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0107 | zero point zero one zero seven | one hundred seven ten-thousandths | 107/10000 | 1.07% | ten times smaller than 0.107 |
| 0.107 | zero point one zero seven | one hundred seven thousandths | 107/1000 | 10.7% | current value |
| 0.1070 | zero point one zero seven zero | one thousand seventy ten-thousandths | 107/1000 | 10.7% | same numerical value, written to the ten-thousandths place |
| 1.07 | one point zero seven | one and seven hundredths | 107/100 | 107% | ten times larger than 0.107 |
Quick Practice
How is 0.107 read digit by digit?
Zero point one zero seven.
What is the place-value word form of 0.107?
One hundred seven thousandths.
What fraction is 0.107 in lowest terms?
107/1000.
What percentage is equal to 0.107?
10.7%.
Which is greater: 0.107 or 0.0107?
0.107 is ten times as large.
Is 0.107 equal to 0.1070?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.107 in words?
0.107 in words is zero point one zero seven.
Why is 0.107 called one hundred seven thousandths?
Because the digit 1 is in the thousandths place. Therefore, 0.107 represents one hundred seven thousandths.
What fraction is 0.107?
0.107 is 107/1000 exactly and 107/1000 in lowest terms.
Is 107/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 0.107?
0.107 is equal to 10.7%.
Is 0.107 the same as 0.1070?
Yes. 0.107 and 0.1070 have the same numerical value. However, 0.107 is written to the thousandths place, while 0.1070 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.107 larger than 0.0107?
Yes. 0.107 is ten times as large as 0.0107.
What type of decimal is 0.107?
0.107 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents one hundred seven thousandths.