Decimal in the thousandths place
0.689 in Words
0.689 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.689 in words is zero point six eight nine.
0.689 Place-Value Breakdown
The decimal digits place 6 in the tenth place, 8 in the hundredth place, and 9 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 6 | tenth | 6/10 |
| Decimal part | 8 | hundredth | 8/100 |
| Decimal part | 9 | thousandth | 9/1000 |
What Kind of Decimal Is 0.689?
0.689 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.689
0.689 = 6/10 + 8/100 + 9/1000
0.689 = 0 + 689/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 689/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 689/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
0.689 as a Percentage
To convert 0.689 to a percentage, multiply it by 100.
0.689 × 100 = 68.9
Therefore, 0.689 = 68.9%.
Decimals Equivalent to 0.689
0.689 = 0.6890 = 0.68900
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 |
|---|---|---|---|
| 0.689 | thousandths | 689/1000 | 689/1000 |
| 0.6890 | ten-thousandths | 6890/10000 | 689/1000 |
| 0.68900 | hundred-thousandths | 68900/100000 | 689/1000 |
Visual Model of 0.689
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.689 on a Number Line
0.689 lies between 0.688 and 0.690. It is 0.311 below 1 and 0.689 above 0.
On a number line from 0 to 1, it appears 68.9% of the way from 0 to 1.
How Far Is 0.689 from 1?
1 − 0.689 = 0.311
1 − 689/1000 = 311/1000
0.689 is three hundred eleven thousandths below 1. The remaining part is 311/1000 = 311/1000 = 31.1%.
0.689 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0689 | zero point zero six eight nine | six hundred eighty-nine ten-thousandths | 689/10000 | 6.89% | ten times smaller than 0.689 |
| 0.689 | zero point six eight nine | six hundred eighty-nine thousandths | 689/1000 | 68.9% | current value |
| 0.6890 | zero point six eight nine zero | six thousand eight hundred ninety ten-thousandths | 689/1000 | 68.9% | same numerical value, written to the ten-thousandths place |
| 6.89 | six point eight nine | six and eighty-nine hundredths | 689/100 | 689% | ten times larger than 0.689 |
Quick Practice
How is 0.689 read digit by digit?
Zero point six eight nine.
What is the place-value word form of 0.689?
Six hundred eighty-nine thousandths.
What fraction is 0.689 in lowest terms?
689/1000.
What percentage is equal to 0.689?
68.9%.
Which is greater: 0.689 or 0.0689?
0.689 is ten times as large.
Is 0.689 equal to 0.6890?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.689 in words?
0.689 in words is zero point six eight nine.
Why is 0.689 called six hundred eighty-nine thousandths?
Because the digit 6 is in the thousandths place. Therefore, 0.689 represents six hundred eighty-nine thousandths.
What fraction is 0.689?
0.689 is 689/1000 exactly and 689/1000 in lowest terms.
Is 689/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 0.689?
0.689 is equal to 68.9%.
Is 0.689 the same as 0.6890?
Yes. 0.689 and 0.6890 have the same numerical value. However, 0.689 is written to the thousandths place, while 0.6890 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.689 larger than 0.0689?
Yes. 0.689 is ten times as large as 0.0689.
What type of decimal is 0.689?
0.689 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents six hundred eighty-nine thousandths.