Decimal in the thousandths place
0.789 in Words
0.789 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.789 in words is zero point seven eight nine.
0.789 Place-Value Breakdown
The decimal digits place 7 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 | 7 | tenth | 7/10 |
| Decimal part | 8 | hundredth | 8/100 |
| Decimal part | 9 | thousandth | 9/1000 |
What Kind of Decimal Is 0.789?
0.789 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.789
0.789 = 7/10 + 8/100 + 9/1000
0.789 = 0 + 789/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 789/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 789/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
0.789 as a Percentage
To convert 0.789 to a percentage, multiply it by 100.
0.789 × 100 = 78.9
Therefore, 0.789 = 78.9%.
Decimals Equivalent to 0.789
0.789 = 0.7890 = 0.78900
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 |
|---|---|---|---|
| 0.789 | thousandths | 789/1000 | 789/1000 |
| 0.7890 | ten-thousandths | 7890/10000 | 789/1000 |
| 0.78900 | hundred-thousandths | 78900/100000 | 789/1000 |
Visual Model of 0.789
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.789 on a Number Line
0.789 lies between 0.788 and 0.790. It is 0.211 below 1 and 0.789 above 0.
On a number line from 0 to 1, it appears 78.9% of the way from 0 to 1.
How Far Is 0.789 from 1?
1 − 0.789 = 0.211
1 − 789/1000 = 211/1000
0.789 is two hundred eleven thousandths below 1. The remaining part is 211/1000 = 211/1000 = 21.1%.
0.789 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0789 | zero point zero seven eight nine | seven hundred eighty-nine ten-thousandths | 789/10000 | 7.89% | ten times smaller than 0.789 |
| 0.789 | zero point seven eight nine | seven hundred eighty-nine thousandths | 789/1000 | 78.9% | current value |
| 0.7890 | zero point seven eight nine zero | seven thousand eight hundred ninety ten-thousandths | 789/1000 | 78.9% | same numerical value, written to the ten-thousandths place |
| 7.89 | seven point eight nine | seven and eighty-nine hundredths | 789/100 | 789% | ten times larger than 0.789 |
Quick Practice
How is 0.789 read digit by digit?
Zero point seven eight nine.
What is the place-value word form of 0.789?
Seven hundred eighty-nine thousandths.
What fraction is 0.789 in lowest terms?
789/1000.
What percentage is equal to 0.789?
78.9%.
Which is greater: 0.789 or 0.0789?
0.789 is ten times as large.
Is 0.789 equal to 0.7890?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.789 in words?
0.789 in words is zero point seven eight nine.
Why is 0.789 called seven hundred eighty-nine thousandths?
Because the digit 7 is in the thousandths place. Therefore, 0.789 represents seven hundred eighty-nine thousandths.
What fraction is 0.789?
0.789 is 789/1000 exactly and 789/1000 in lowest terms.
Is 789/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 0.789?
0.789 is equal to 78.9%.
Is 0.789 the same as 0.7890?
Yes. 0.789 and 0.7890 have the same numerical value. However, 0.789 is written to the thousandths place, while 0.7890 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.789 larger than 0.0789?
Yes. 0.789 is ten times as large as 0.0789.
What type of decimal is 0.789?
0.789 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents seven hundred eighty-nine thousandths.