Decimal in the thousandths place
0.167 in Words
0.167 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.167 in words is zero point one six seven.
0.167 Place-Value Breakdown
The decimal digits place 1 in the tenth place, 6 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 | 6 | hundredth | 6/100 |
| Decimal part | 7 | thousandth | 7/1000 |
What Kind of Decimal Is 0.167?
0.167 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.167
0.167 = 1/10 + 6/100 + 7/1000
0.167 = 0 + 167/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 167/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 167/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
0.167 as a Percentage
To convert 0.167 to a percentage, multiply it by 100.
0.167 × 100 = 16.7
Therefore, 0.167 = 16.7%.
Decimals Equivalent to 0.167
0.167 = 0.1670 = 0.16700
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 |
|---|---|---|---|
| 0.167 | thousandths | 167/1000 | 167/1000 |
| 0.1670 | ten-thousandths | 1670/10000 | 167/1000 |
| 0.16700 | hundred-thousandths | 16700/100000 | 167/1000 |
Visual Model of 0.167
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.167 on a Number Line
0.167 lies between 0.166 and 0.168. It is 0.833 below 1 and 0.167 above 0.
On a number line from 0 to 1, it appears 16.7% of the way from 0 to 1.
How Far Is 0.167 from 1?
1 − 0.167 = 0.833
1 − 167/1000 = 833/1000
0.167 is eight hundred thirty-three thousandths below 1. The remaining part is 833/1000 = 833/1000 = 83.3%.
0.167 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0167 | zero point zero one six seven | one hundred sixty-seven ten-thousandths | 167/10000 | 1.67% | ten times smaller than 0.167 |
| 0.167 | zero point one six seven | one hundred sixty-seven thousandths | 167/1000 | 16.7% | current value |
| 0.1670 | zero point one six seven zero | one thousand six hundred seventy ten-thousandths | 167/1000 | 16.7% | same numerical value, written to the ten-thousandths place |
| 1.67 | one point six seven | one and sixty-seven hundredths | 167/100 | 167% | ten times larger than 0.167 |
Quick Practice
How is 0.167 read digit by digit?
Zero point one six seven.
What is the place-value word form of 0.167?
One hundred sixty-seven thousandths.
What fraction is 0.167 in lowest terms?
167/1000.
What percentage is equal to 0.167?
16.7%.
Which is greater: 0.167 or 0.0167?
0.167 is ten times as large.
Is 0.167 equal to 0.1670?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.167 in words?
0.167 in words is zero point one six seven.
Why is 0.167 called one hundred sixty-seven thousandths?
Because the digit 1 is in the thousandths place. Therefore, 0.167 represents one hundred sixty-seven thousandths.
What fraction is 0.167?
0.167 is 167/1000 exactly and 167/1000 in lowest terms.
Is 167/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 0.167?
0.167 is equal to 16.7%.
Is 0.167 the same as 0.1670?
Yes. 0.167 and 0.1670 have the same numerical value. However, 0.167 is written to the thousandths place, while 0.1670 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.167 larger than 0.0167?
Yes. 0.167 is ten times as large as 0.0167.
What type of decimal is 0.167?
0.167 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents one hundred sixty-seven thousandths.