Decimal in the thousandths place
0.667 in Words
0.667 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.667 in words is zero point six six seven.
0.667 Place-Value Breakdown
The decimal digits place 6 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 | 6 | tenth | 6/10 |
| Decimal part | 6 | hundredth | 6/100 |
| Decimal part | 7 | thousandth | 7/1000 |
What Kind of Decimal Is 0.667?
0.667 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.667
0.667 = 6/10 + 6/100 + 7/1000
0.667 = 0 + 667/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 667/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 667/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
0.667 as a Percentage
To convert 0.667 to a percentage, multiply it by 100.
0.667 × 100 = 66.7
Therefore, 0.667 = 66.7%.
Decimals Equivalent to 0.667
0.667 = 0.6670 = 0.66700
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 |
|---|---|---|---|
| 0.667 | thousandths | 667/1000 | 667/1000 |
| 0.6670 | ten-thousandths | 6670/10000 | 667/1000 |
| 0.66700 | hundred-thousandths | 66700/100000 | 667/1000 |
Visual Model of 0.667
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.667 on a Number Line
0.667 lies between 0.666 and 0.668. It is 0.333 below 1 and 0.667 above 0.
On a number line from 0 to 1, it appears 66.7% of the way from 0 to 1.
How Far Is 0.667 from 1?
1 − 0.667 = 0.333
1 − 667/1000 = 333/1000
0.667 is three hundred thirty-three thousandths below 1. The remaining part is 333/1000 = 333/1000 = 33.3%.
0.667 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0667 | zero point zero six six seven | six hundred sixty-seven ten-thousandths | 667/10000 | 6.67% | ten times smaller than 0.667 |
| 0.667 | zero point six six seven | six hundred sixty-seven thousandths | 667/1000 | 66.7% | current value |
| 0.6670 | zero point six six seven zero | six thousand six hundred seventy ten-thousandths | 667/1000 | 66.7% | same numerical value, written to the ten-thousandths place |
| 6.67 | six point six seven | six and sixty-seven hundredths | 667/100 | 667% | ten times larger than 0.667 |
Quick Practice
How is 0.667 read digit by digit?
Zero point six six seven.
What is the place-value word form of 0.667?
Six hundred sixty-seven thousandths.
What fraction is 0.667 in lowest terms?
667/1000.
What percentage is equal to 0.667?
66.7%.
Which is greater: 0.667 or 0.0667?
0.667 is ten times as large.
Is 0.667 equal to 0.6670?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.667 in words?
0.667 in words is zero point six six seven.
Why is 0.667 called six hundred sixty-seven thousandths?
Because the digit 6 is in the thousandths place. Therefore, 0.667 represents six hundred sixty-seven thousandths.
What fraction is 0.667?
0.667 is 667/1000 exactly and 667/1000 in lowest terms.
Is 667/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 0.667?
0.667 is equal to 66.7%.
Is 0.667 the same as 0.6670?
Yes. 0.667 and 0.6670 have the same numerical value. However, 0.667 is written to the thousandths place, while 0.6670 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.667 larger than 0.0667?
Yes. 0.667 is ten times as large as 0.0667.
What type of decimal is 0.667?
0.667 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents six hundred sixty-seven thousandths.