Decimal in the thousandths place
0.767 in Words
0.767 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.767 in words is zero point seven six seven.
0.767 Place-Value Breakdown
The decimal digits place 7 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 | 7 | tenth | 7/10 |
| Decimal part | 6 | hundredth | 6/100 |
| Decimal part | 7 | thousandth | 7/1000 |
What Kind of Decimal Is 0.767?
0.767 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.767
0.767 = 7/10 + 6/100 + 7/1000
0.767 = 0 + 767/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 767/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 767/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
0.767 as a Percentage
To convert 0.767 to a percentage, multiply it by 100.
0.767 × 100 = 76.7
Therefore, 0.767 = 76.7%.
Decimals Equivalent to 0.767
0.767 = 0.7670 = 0.76700
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 |
|---|---|---|---|
| 0.767 | thousandths | 767/1000 | 767/1000 |
| 0.7670 | ten-thousandths | 7670/10000 | 767/1000 |
| 0.76700 | hundred-thousandths | 76700/100000 | 767/1000 |
Visual Model of 0.767
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.767 on a Number Line
0.767 lies between 0.766 and 0.768. It is 0.233 below 1 and 0.767 above 0.
On a number line from 0 to 1, it appears 76.7% of the way from 0 to 1.
How Far Is 0.767 from 1?
1 − 0.767 = 0.233
1 − 767/1000 = 233/1000
0.767 is two hundred thirty-three thousandths below 1. The remaining part is 233/1000 = 233/1000 = 23.3%.
0.767 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0767 | zero point zero seven six seven | seven hundred sixty-seven ten-thousandths | 767/10000 | 7.67% | ten times smaller than 0.767 |
| 0.767 | zero point seven six seven | seven hundred sixty-seven thousandths | 767/1000 | 76.7% | current value |
| 0.7670 | zero point seven six seven zero | seven thousand six hundred seventy ten-thousandths | 767/1000 | 76.7% | same numerical value, written to the ten-thousandths place |
| 7.67 | seven point six seven | seven and sixty-seven hundredths | 767/100 | 767% | ten times larger than 0.767 |
Quick Practice
How is 0.767 read digit by digit?
Zero point seven six seven.
What is the place-value word form of 0.767?
Seven hundred sixty-seven thousandths.
What fraction is 0.767 in lowest terms?
767/1000.
What percentage is equal to 0.767?
76.7%.
Which is greater: 0.767 or 0.0767?
0.767 is ten times as large.
Is 0.767 equal to 0.7670?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.767 in words?
0.767 in words is zero point seven six seven.
Why is 0.767 called seven hundred sixty-seven thousandths?
Because the digit 7 is in the thousandths place. Therefore, 0.767 represents seven hundred sixty-seven thousandths.
What fraction is 0.767?
0.767 is 767/1000 exactly and 767/1000 in lowest terms.
Is 767/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 0.767?
0.767 is equal to 76.7%.
Is 0.767 the same as 0.7670?
Yes. 0.767 and 0.7670 have the same numerical value. However, 0.767 is written to the thousandths place, while 0.7670 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.767 larger than 0.0767?
Yes. 0.767 is ten times as large as 0.0767.
What type of decimal is 0.767?
0.767 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents seven hundred sixty-seven thousandths.